Find the area of triangle

Find The Area Of Triangle

Answers

Answer 1

So we see one large triangle, that can be split into two triangles split by the thin dotted line:

the First triangle --> has a hypotenuse of 26 and a leg of 11the Second triangle --> has a hypotenuse of 42

Let us find the other leg of the First triangle which also happens to be the height of the larger triangle, using the Pythagorean theorem

     [tex]a^2+b^2=c^2\\a^2 + 11^2 = 26^2\\a^2 = 26^2-11^2=555\\a=23.56[/tex]

Thus the height of the entire triangle is 23.56 which also happens to be one of the legs of the Second triangle

     [tex]a^2+b^2=c^2\\a^2+(23.56)^2=42^2\\a^2 = 1764-555=1209\\a = 34.77[/tex]

Having found the other leg of the Second Triangle, we can find the base of the larger triangle is:

     -->  34.77 + 11 = 45.77

The height as found in the first initial step is 23.56 thus the area is

   Area = [tex]\frac{1}{2}*b*h=\frac{1}{2}*23.56*45.77=539.17[/tex]

Hope that helps!


Related Questions

An account with $300 gains 0. 5% annual interest compounded continuously. How

many years would it take to reach $600? Round to the nearest whole year and type

your answer into the box.

Formula: A=

Pert

Answers

Answer:

139

Step-by-step explanation:

A = Pe^rt

A = 600$

P = 300$

R = 0.005

T = ?

600 = 300e^(0.005)(t)

t = 138.63

HELP Two workers, if they were working together, could finish a certain job in 24 days. If one of the workers does the first half of the job and then the other one does the second half, the job will take them 50 days. How long would it take each worker to do the entire job by himself?

Answers

this has been already answered.

https://brainly.com/question/15414578

I don’t really understand this please help me.

Answers

Answer:

Top question) 12

Bottom question) 16

Step-by-step explanation:

top) you can fit 6 in the bottom of a 3x2 box if the smaller boxes are only 1 cubic foot and since it's also 2 feet high you can also fit another 6 which in total equals 12.

bottom) you can fit 8, 1 cubic foot boxes, in a larger box thats 4x2 and since it's also two feet tall you can fit another 8 in making 16 fitting in the larger box

Hope this helps! pls mark brainliest

Pls help me do this :) urgent message!

Answers

Answer:

y-intersept is where the line crosses the y axis

on this one it is

(0,-3)

Hope This Helps!!!

Answer:

(0,-3)

Step-by-step explanation:

The y-intercept is where the equation of the line intersects the y-axis. In this case, by looking at the graph, we see that the y-intercept is (0,-3).

Hope this helps!!

johnny is making 30 sundaes with mint, chocolate, and vanilla ice cream. 3 5 of the sundaes are mint ice cream and 1 2 of the remaining sundaes are chocolate. The rest will be vanilla. How many sundaes will be vanilla?

Answers

18 mint, 9 chocolate and 9 vanilla

The round temperature dial on a thermostat has a radius of 3 centimeters. What is the dial's diameter?

Answers

Answer:

  6 cm

Step-by-step explanation:

A diameter of a circle is a line segment that connects one side of the circle to the other, passing through the center.

The distance from the center to any point on the circle is the radius. So, a diameter is the sum of a radius to one side of the circle and a radius to the other side of the circle. (The circle center is the midpoint of the diamter.)

The diameter is twice the radius:

  d = 2 × (3 cm) = 6 cm

The dial's diameter is 6 cm.

How do I solve this problem? Also, shouldn't the answer be square root 61 because you do 5^2+6^2=c^2?

Answers

Hey there!

Formula:

a = √p(diagonal)^2 + q(diagonal)^2 / 2

a = √p + q / 2


SOLVING FOR CURRENT EQUATION

a = √10^2 + 12^2 / 2

a = √10 * 10 + 12 * 12 / 2

a = √100 + 144 / 2

a = √244 / 2

a = √61

a ≈ 7.81


Thus, your answer is: √61


Or as you put….

5^2 + 6^2 = c^2

5 * 5 + 6 * 6 = c^2

25 + 36 = c^2

√61 or -√61 = c^2


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

b= c= Please help I need to do this asap

Answers

Your picture isn’t showing up

What is the longest line segment that can be drawn in a right rectangular prism that is 14 cm​ long, 11 cm​ wide, and 9 cm​ tall?

Answers

Answer:

the longest segment is between 14 and 9

Step-by-step explanation:

this is the best answer in my eyes

The length of the diagonal of the rectangular prism will be 19.95 centimeters.

What is the diagonal of the rectangular prism?

A rectangle's longitudinal divides it into two equivalent right triangles. A rectangle's diagonal elements are all the same length. A rectangle is a rectangle whose diagonal elements bisect one another, cross at right angles, and are identical.

The length of the diagonal of the rectangular prism is given as,

D² = L² + W² + H²

The dimensions of the rectangular prism will be 14 cm long, 11 cm wide, and 9 cm tall.

The diagonal length is calculated as,

D² = 14² + 11² + 9²

D² = 196 + 121 + 81

D² = 398

D = 19.95 cm

The length of the diagonal of the rectangular prism will be 19.95 centimeters.

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You are taking a trip at the same time as another
family. Your family traveled 1,900 miles in 2 days,
their family traveled 2,700 miles in 3 days. Who is
traveling faster?

Answers

Answer:

1,900 miles in 3 days is going fast than 2,700 miles in 3 days

Step-by-step explanation:

1,900 divided by 2 is = 950

2,700 miles divided in 3 days is = 900

Answer:

your family traveled faster

Step-by-step explanation:

your family traveled 1,9000 miles in 2 days and to find speed you need to divide 1,900 by 2 (answer is 950)

do the same for 2,700 and 3 (900 is answer)

compare the two and you have your answer!

Hope this helps and that you have a wonderful evening/day!

Which steps would be used to solve this equation? StartFraction t Over 3 EndFraction = 2. 78 Check all that apply. Multiply by 3 on both sides of the equation. Divide by 3 on both sides of the equation. 2. 78 ÷ 3 = 0. 93, so t = 0. 93. 2. 78 × 3 = 8. 34, so t = 8. 34. Substitute 8. 34 for t to check the solution. Substitute 0. 93 for t to check the solution.

Answers

The value of variable t =8.34.

We have  solve the equation  [tex]\frac{t}{3} = 2.78[/tex]

What is the meaning of equation?

A statement that the values of two mathematical expressions are equal.

We will use the steps below to solve this equation

First, multiply by 3 on both-side of the equation.

[tex]\frac{t}{3} \times 3= 2.78 \times 3[/tex]

[tex]t=8.34[/tex]

[tex]t = 8.34[/tex]

We can further substitute 8.34 for t to check the correctness of the solution that is,

[tex]\frac{8.34}{3}= 2.78[/tex]

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3.
Which expression is equivalent to -0.4(10.2x - 15 +2.2x)
a. -4.96x + 6
b. -4.96x - 6
C.-4.96x - 6.4
d. -4.96x + 6.4

Answers

Answer: -4.96x + 6

Step-by-step explanation:

In this problem, it wants you to multiply the -0.4 by the numbers in the parentheses. Don’t let the X confuse you. This is just a placeholder for an unknown number. So first you would multiply the -0.4 into the 10.2, And once you get your answer, just add the X to the end. Which is -4.08x. Then, you would do the same thing, multiply the -0.4 (the number outside of the parenthesis, only with the -15 now. Which gets you 6. Lastly, you take the -0.4 once more and multiply it by the 2.2x. Which gets you -0.88.


-0.4 (10.2x-15+2.2x)

= - 4.08x +6 -0.88x

Now that you have this problem, combined like terms. What are the like terms in this problem?

The -4.08x can be combined with the -0.88 which gets you -4.96. Bring the +6 down, and that gets you your answer of -4.96 +6.


-4.08x -0.88x +6

= -4.96x +6


This would be your final answer because nothing further can be done at this point.


hope this helps!

Jonas is using a coordinate plane to plan an archaeological dig. He outlines a rectangle with the vertices at (5, 2), (5, 9), (10, 9), and (10, 2). Then he outlines a second rectangle by reflecting the first area across the x-axis and then across the y-axis. Which is a vertex of the second outlined rectangle after completing both reflections?

Answers

Reflecting the archaeological dig implies that the dig is flipped

The vertices of the second outlined rectangle after completing both reflections are (-5,-2),(-5,-9),(-10,-9) and (-10,-2)

How to determine the vertices of the rectangle

The coordinates of the rectangle are given as:

(5,2) , (5,9) , (10,9) , (10,2)

When reflected across the x and the y axes, the transformation rule is:

[tex](x,y) \to (-x,-y)[/tex]

So, the new coordinates are:

(-5,-2),(-5,-9),(-10,-9),(-10,-2)

This means that:

The vertices of the second outlined rectangle after completing both reflections are (-5,-2),(-5,-9),(-10,-9) and (-10,-2)

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Name the type of logical fallacy being used.
29. if you don’t want to drive from boston to new york, then you will have to take the train.

Answers

The type of logical fallacy being used in the sentence "If you don’t want to drive from boston to New york, then you will have to take the train" is false dilemma.

What is fallacy?

It should be noted that a fallacy simply means a deceptive argument where the conclusion isn't supported by the premises.

In this case, false dilemma is when a limited number of options are incorrectly presented as being mutually exclusive.

Learn more about fallacy on:

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how many cups can fit into 3 gallons equally

Answers

Answer: 48

Step-by-step explanation:

3x16=48

3 gallons=48 cups

There are 48 cups in 3 gallons.

To start your conversion, you need to know how many cups are in one gallon.

There are 2 cups in 1 pint, and 2 pints in 1 cup.

A floor plan of the living room is shown below. If the carpet he chooses costs $27.50 per yard square, how much will the new carpet cost

Answers

Answer:

there is no picture,you need to add a pic

The pH of lemon juice at 298 K is found to be 2. 32. What is the concentration of mc014-1. Jpg ions in the solution? Use StartBracket upper H subscript 3 upper O superscript plus EndBracket equals 10 superscript negative p H. 1. 05 times 10 to the negative 3 moles per liter. 4. 79 times 10 to the negative 3 moles per liter. 2. 09 times 10 squared moles per liter. 9. 55 times 10 squared moles per liter.

Answers

The concentration of ions in the solution of lemon juice whose pH value is 2.32 is 4.79×10⁻³ M.

What is pH value?

The pH value shows that how much a solution is acidic or basic. The range of the pH value lies between the 0-14.

The pH value can be calculated with the following formula.

[tex]\rm pH=log[H^{+}][/tex]

Here, [H⁺] is the molar hydrogen ion concentration.

The pH of lemon juice at 298 K is found to be 2. 32. Put this value of pH in the above formula as,

[tex]\rm 2.32=log[H^{+}]\\\ [H^{+}]=4.79\times10^{-3} \rm \; M[/tex]

Hence, the concentration of ions in the solution of lemon juice whose pH value is 2.32 is 4.79×10⁻³ M.

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Answer:

B ✔️

Step-by-step explanation:

Select all of the steps that are possible when solving for x.

5 1/2x + 2/3x = 37
x = 37
x = 6
37x = 6
37/6x = 37
1 1/2x + 2/3x =37

Answers

Answer:

37/6x = 6 and 5 1/2x + 2/3x = 6

Step-by-step explanation:

draw a triangle ABC with vertices A(4,2), B(3,5)and C(6,5) on a graph paper. Reflect it on X=Y and show the image on the same graph paper.​

Answers

Answer:

not sure if its correct but let me know if its incorrect

thank you !

1) on a test suzy has a diagram of a regular prism and pyramid. both have a height of 4 inches, both have square bases with the side lengths of 6 inches, and the pyramid has a slant height of 5 inches. which shape has the larger surface area? a) they have the same surface area. b) the prism does by 72 square inches. c) the pyramid does by 72 square inches. d) there is not enough information to determine the surface area.

Answers

The Prism has a larger surface area than the pyramid.

What is area?

Area is the amount of space occupied by a two dimensional shape or object.

Surface area of Prism = 2 * base area + 4(base length)(height)

Surface area of Prism = 2(6 * 6) + 4(6)(4) = 168 in²

Surface area of pyramid = (base area) + 2(base length)(slant height)

Surface area of pyramid = (6 * 6) + 2(6)(5) = 96 in²

The Prism has a larger surface area than the pyramid.

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convert 4 hours into minutes
helpp ASAP

Answers

Answer: 240 minutes

Step-by-step

60 times 4 hour = 240 minutes

what is the equation of the line that passes through each pair of points for (-2,3) (3,-2)

Answers

Answer:

y = -x + 1

example:

(-2, 3)

y = -(-2) + 1

y = 2 + 1

y = 3

Answer:

y = -x + 1

Step-by-step explanation:

slope = (y2-y1)/(x2-x1) = (-2-3)/(3-(-2)) = -5/5 = -1

y-int: y=mx+b --> plug in a point --> 3 = (-1)(-2)+b --> b=1

y = -x + 1

Find the height of a tree of angle of elevation of its top changes from 25 degree to 50 degree as the observer advance 15m towards its base

please help me fast​

Answers

Answer:

  11.5 m

Step-by-step explanation:

The problem can be solved using a trig relation that relates the side opposite the angle to the side adjacent to the angle. That relation is ...

  Tan = Opposite/Adjacent

The lengths of the adjacent sides of the triangle can be found by rearranging this formula:

  Adjacent = Opposite/Tan

__

The "opposite" side of the triangle is the height of the tree, which we can represent using h. The problem statement tells us of a relation between adjacent side lengths and angles:

  h/tan(25°) -h/tan(50°) = 15 . . . . . moving 15 meters changes the angle

  h(1/tan(25°) -1/tan(50°)) = 15

  h = 15·tan(25°)·tan(50°)/(tan(50°) -tan(25°)) = 15(0.55572/0.72545)

  h ≈ 11.4907 . . . . meters

The height of the tree is about 11.5 meters.

will give brainliest!
fill in the table using this function rule. y= 3 + 2x
x- 4, 5, 9, 10
y- blank

Answers

Replace x in the equation with the given x values and solve for y:


3 + 2(4) = 11

3 + 2(5) = 13

3 + 2(9) = 21

3 + 2(10) = 23


the y values are: 11, 13, 21, 23

y=3+2x

#4

y=3+2(4)=3+8=11

#5

y=3+2(5)=3+10=13

#9

y=3+2(9)=3+18=21

#10

y=3+2(10)=3+20=23

-2x + 22 < 18

It is an inequality

Answers

Answer:

Solving for x;

-2x + 22 < 18

Get rid of constants:

-22          -22

-2x < -4

Isolate x, by dividing by -2 from both sides since the inverse operation of multiplication is division, and remember when dividing or multiplying by negative integers, you flip the inequality symbol around:

÷-2 ÷-2

x > 2

Answer:

[tex]x > 2[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}\mathrm{Solution:}\:&\:x > 2\:\\ \:\mathrm{Interval\:Notation:}&\:\left(2,\:\infty \:\right)\end{bmatrix}[/tex]

Given:

-2x + 22 < 18

Solve:

[tex]\mathrm{Subtract\:}22\mathrm{\:from\:both\:sides}[/tex]

[tex]-2x+22-22 < 18-22[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]-2x < -4[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}[/tex]

[tex]\left(-2x\right)\left(-1\right) > \left(-4\right)\left(-1\right)[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]2x > 4[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]

[tex]\frac{2x}{2} > \frac{4}{2}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x > 2[/tex]

~Lenvy~

How many different three digit numbers can be made with 123456789

Answers

Answer:

84

Step-by-step explanation:

Since, the digit should be in ascending order, therefore we have to group 123456789 into 3–3 groups with its digits being in ascending order.

Step 1:

Select 1 as one digit

Step 2:

Select 2 as a 2nd digit.

Step 3:

We have 7 numbers (3,4,5,6,7,8,9) as a 3rd digit of a 3-digit number. Therefore, We have 7 numbers in the form of 12_.

Go back to Step 2 and Select 3 as a 2nd digit. Then, we have 6 numbers (4,5,6,7,8,9) as a 3rd digit of the form 13_.

Continue these steps till you get the number of 3-digit numbers in the form of 1__ to 189 which will be 28 numbers.

Go back to Step 1 now and select 2 as a 1st digit and in Step 2, start with 3 as a 2nd digit.

In step 3, you’ll have 6 numbers (4,5,6,7,8,9) as a 3rd digit of the form 23_.

Continue these steps till you find the number of the 3 digit number of the form 2__ to 289 which will be 21

Repeat the steps again to find the number of 3digit number of the form 3__ to 389 which will be 15.

Then find 4__ to 489, 5__ to 589, ……till 789

the answers will be like this

1__=28

2__=21

3__=15

4__=10

5__=6

6__=3

789 which is 1

Adding all these, you’ll get 84.

The total number of different three digit numbers that can be made using any of the digits 1,2,3,4,5,6,7,8,9 is 729 digits.

What is the rule of product in combinatorics?

If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in [tex]p \times q[/tex] distinct ways.

Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.

Thus, doing A then B is considered same as doing B then A

We can use the rule of product as:

we can use the analogy of filling each of the 3 places of the three digit number, and this filling doesn't require any ordering like fill the first place and then second etc. We can take those 3 place fillings as 3 different works to be done,e each one doable in 9 different ways.

For this case, the three digit number consider is going to have 3 places in it such that each place can have any of those 9 digits in them.

So each place can be filled in 9 ways.

There are 3 such places, so, using the rule of product, the filling of those places can be done in:

[tex]9 \times 9 \times 9 = 9^3 = 729 \: \rm ways[/tex]

Thus, the total number of different three digit numbers that can be made using any of the digits 1,2,3,4,5,6,7,8,9 is 729 digits.

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15x + 50y = _____ (3x + 10y)

Answers

Answer:

15x + 50y = 5 (3x + 10y)

5 is a common factor

15/3x = 3x

50/5y = 10y

the answer is 5

[tex] \huge \mathbb \orange{HEY \: THERE}[/tex]

[tex] \mathfrak \red{AnSwEr~}[/tex]

5 is the common factor.

[tex] \mathfrak \red{Explaination}[/tex]

[tex] \mathsf \pink{15x + 50y = 5(3x + 10y)}[/tex]

[tex] \mathsf \pink{5 \: is \: multiplied \: with \: both \: 3x \: and \: 10y}[/tex]

[tex] \huge \mathbb \orange{HOPE \: IT \: HELPS}[/tex]

What is the volume of a right circular cylinder with a radius of 4 m and a height of 4 m?
O 8 m
O 167 m
O 647 m
O 2567 m

Answers

Answer:

approximately V =  201 m^{3}

Step-by-step explanation:

Volume of a right circular is π[tex]r^{2} h[/tex]

R = radius of 4m

H = height of 4m

pi = approximatly 3.14

[tex]V = 3.14*4^{2}*4[/tex]

[tex]V = 3.14*16*4[/tex]

[tex]V = 3.14*64[/tex]

approximately [tex]V = 201 m^{3}[/tex]

Hope this helps :)

(If this was not the corrrect answer please give me more information)

answer question pls I will give brainliest

Answers

Answer:

6 x 4 x 4

Step-by-step explanation:

6. The vertex of a parabola is (15,-30) and the y-intercept is (0,25). Is this enough information to write
the equation? If so, do such, if not explain.

Answers

Answer:

[tex]y=\frac{11}{45} x^2-\frac{22}{3}x+25.[/tex]

Step-by-step explanation:

Enough.

The explanation is in the attached picture.

Note, the suggested way is not the only one, and finally a=11/45.

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