Anyone please help me with this question

Answers

Answer 1

Answer:

Step-by-step explanation:

these are 2 similar triangles, as due to the construction we have 3 corresponding pairs of equal angles (the 47° angle is a given as equal, then due to the rules of crossing lines the inner angles as S must be equal as opposite angles, and that automatically makes the third angles equal, as the sum of all angles in a triangle must be always 180°).

in similar triangles the length ratio of corresponding sides is the same for all corresponding sides and lengths in these triangles.

so, we can use the sides opposite of the 47° angles to find that ratio :

21/9 = 7/3

and now also the sides 28 and x must have the same ratio :

28/x = 7/3

4/x = 1/3

12/x = 1

x = 12

Related Questions

Please help me with this question , we are now just learning it .

Answers

Answer:

angle 3 and angle 4 are adjacent angle

Angles 3 and 4 are adjacent angles

f(x)=-2(x-4)^2 for x=2 evaluate

Answers

f(2)=-2(2-4)²f(2)=-2(-2)²f(2)=-2(4)f(2)=-8

(2,-8)

f(2) = 2(2-4)^2 = 2(-2)^2 = 2(4) = 8

Find the length of the wire

Answers

Answer:

Step-by-step explanation:

It could be 32m. Maybe, I'm not positive though.

Answer:

Hope you like the answer

Step-by-step explanation:

Mark me as Brilliant if you like the answer

2.1
For her science project Manuerted into degrees Newton by multiplying the number of
is exploring different temperature scales. She has found
degrees Celsius by Suppose she constructed a graph, with degrees Celsius along the
that degrees Celsius can
horizontal axis and degrees Newton along the vertical axis. If she plotted some points
and drew a line through them, which of these statements would be true about the line?

Answers

Answer:

123 this is a good idea to make sure you have the best time ever.

The function I = $19n represents the amount of income from ticket
sales for a single theater performance. The letter n represents the
number of tickets sold. The theater's maximum capacity is 400
people. What is a reasonable domain for this function?

Answers

The function I = 19n is a linear function

The reasonable domain of the function is [0,21]

How to determine the domain?

The function is given as:

I = 19n

The smallest value of n is 0 i.e. the smallest number of ticket sold is 0

The maximum capacity is 400.

So, we have:

19n = 400

Divide both sides by 19

n = 21.05

Remove the decimals

n = 21

Hence, the reasonable domain of the function is [0,21]

Answers

Answer:

[tex]\huge\boxed{\sf -2.280}[/tex]

Step-by-step explanation:

Finding value of log₃(4/49):

[tex]\displaystyle = log_{3}\frac{4}{49} \\\\= log_{3} (\frac{4}{7^2} )\\\\\underline{Using \ log \ rule \ :} \ log( \frac{a}{b} )= log \ a - log \ b \\\\= log_{3}4 - log_{3}7^2\\\\\underline{Using \ log \ rule \ : } \ log \ a ^m = m \ log \ a \\\\= log_{3}4 - 2(log_{3}7)\\\\[/tex]

Given that:

log₃4 ≈ 1.262, log₃7 ≈ 1.771

Put the values in the above expression

[tex]= 1.262-2(1.771)\\\\= 1.262 - 3.542\\\\= \bold{-2.280}\\\\\rule[225]{225}{2}[/tex]

Lodine-131 is a very useful radioactive isotope that is used to locate and treat cancerous tumors in the body and has a half life of 8 days. If a radiologist were to use 64 mg of this isotope, how much of it would still be left after 32 days?

Answers

Using an exponential function, it is found that 4 mg of the substance would still be left after 32 days.

What is an exponential function?

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

A(0) is the initial value.r is the decay rate, as a decimal.

In this problem, considering that the initial amount if of 64 mg, and we are working with half-lifes, the equation is given by:

[tex]A(t) = 64(0.5)^t[/tex]

32 days is 32/8 = 4 half-lifes, hence the amount remaining in mg is given by:

[tex]A(4) = 64(0.5)^4 = 4[/tex]

More can be learned about exponential functions at https://brainly.com/question/25537936

Bill drove 605 miles in 11 hours. At the same rate, how many miles would he drive in 5 hours?

Answers

Answer:

Step-by-step explanation:

605/11 = x/5

11x = 3025

x = 275 miles

Answer:

275 miles

Step-by-step explanation:

Bill drove 605 miles in 11 hours , so by the formula , Speed = Distance/ time

We can find that ,

Speed = 55 miles/hours

So , In 5 hours he will drive

Distance = Speed × Time

Distance = 55 × 11

Distance = 275 miles

What percentage of take-home pay is spent on expenses? (round to nearest whole percent)

A) 67% B) 68% C) 84% D) 85%

Answers

c) 84%

hope this helps :)

85% of take-home pay is spent on expenses option (D)85% is correct.

It is given that in the chart there are various expenses.

It is required to find the percentage of take-home pay is spent on expenses.

What is the percentage?

It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.

We have a total take-home salary = $5388

Total expenses = $4558

In percentage it can be expressed as follows:

[tex]=\frac{4558}{5388}\times100[/tex]

[tex]=0.84595\times100\\\\= 84.595 \ \%[/tex]

or ≈ 85% (round to nearest whole)

Thus, 85% of take-home pay is spent on expenses.

Learn more about the percentage here:

https://brainly.com/question/8011401

What is the value of f(g(3))?

Answers

g(3)= 2-3= -1
F(-1)=1+5/2
F(-1)= 6/2
F(-1)=3 or D

In a student union election of a school, 91% of boys and 84% of girls voted. It is kwon

Answers

Answer:

If there are 350 kids for example your answers would be:

Boys: 182

Girls: 168

Step-by-step explanation:

If you add those numbers together you'll get 350 again

Let $a_1 a_2 a_3 \dotsb a_{10}$ be a regular polygon. A rotation centered at $a_1$ with an angle of $\alpha$ takes $a_4$ to $a_8$. Given that $\alpha < 180^\circ$, find $\alpha,$ in degrees

Answers

Answer:

72°

Step-by-step explanation:

The required angle of rotation can be found by considering the regular polygon to be inscribed in a circle. Each of its 10 vertices will be separated by a central angle of 360°/10 = 36°. So, the vertices a8 and a4 will be separated by a central angle of (8 -4)(36°) = 144°.

The angle a4-a1-a8 is an inscribed angle, so will have half the measure of the central angle intercepting the a4-a8 arc. The desired angle of rotation to map a4 to a8 is ...

α = 144°/2 = 72°

The value of angle α is 72° if the regular polygon is inscribed in a circle and rotation centered at a_1

What is a regular polygon?

A polygon is a geometric figure with a finite number of sides in two dimensions. A polygon's sides or edges are made up of straight-line segments that are joined end to end to form a closed shape. The vertices or corners are the points where two line segments meet, and an angle is generated as a result.

Consider the regular polygon to be inscribed in a circle to get the required angle of rotation.

A center angle of 360°

=360°/10 = 36°

It will separate each of its 10 vertices.

The central angle:

= (8 - 4)×(36°) = 144°

An inscribed angle is a4-a1-a8:

So α will be:

α = 144/2 ⇒ 72°

Thus, the value of angle α is 72° if the regular polygon is inscribed in a circle and rotation centered at a_1

Learn more about the regular polygon here:

https://brainly.com/question/11810316

#SPJ4

Find the critical t-value that corresponds to % confidence. Assume degrees of freedom

Answers

Using a t-distribution, with 20 degrees of freedom, the critical t-value that corresponds to 95% confidence is t = 2.0860.

How to find the critical value for a t-distribution confidence interval?

It is found with the help of a calculator, having two inputs:

The confidence level.The number of degrees of freedom, which is one less than the sample size.

Hence, using a calculator, with 20 degrees of freedom, the critical t-value that corresponds to 95% confidence is t = 2.0860.

More can be learned about the t-distribution at https://brainly.com/question/16162795

Look at the chart and complete the function rule.
y = 5x + ?

Answers

Answer:

Step-by-step explanation:

The slope-intercept form is

, where

is the slope and

is the y-intercept.

Find the values of

and

using the form

The slope of the line is the value of

, and the y-intercept is the value of

Slope:

y-intercept:

If the probability of a basketball player making a shot is 5/12, what is the probability of him not making a shot

Answers

Answer:

5 percent of 12 is 0.6

Step-by-step explanation:

Answer:

7/12

Step-by-step explanation:

total = 12/12

p(shot) = 5/12

p(not making shot) = 7/12

because

12/12 - 5/12 = 7/12

Hope this helped!

help me w this question please

Answers

Answer:

2560000 or 2.56*10^6

Step-by-step explanation:

[tex]\frac{((-4)^6)^2*(-5^2)^3}{(-4)^6*(-5)^2}[/tex]

[tex]\frac{(-4)^1^2*(-5^6)}{(-4)^6*(-5)^2}[/tex]

[tex]\frac{16777216*15625}{4096*25}[/tex]

[tex]\frac{262144000000}{102400}[/tex]

[tex]2560000[/tex]

(h+1)^2=16 solve using square root property

Answers

Answer: h = 3

Step-by-step explanation:

(h+1)² = 16

h+1 = √16

h+1 = 4

h = 3

Hope this helped :)

Answer:

[tex]h=3, \ h=-5[/tex]

Step-by-step explanation:

[tex](h+1)^2=16[/tex]

[tex]\sqrt{(h+1)^2} = \±\sqrt{16}[/tex] <== you take the square root of both sides

[tex](h+1) = \±\ 4[/tex] <== you take the square root of both sides

[tex](h+1) = +\ 4, \ (h+1) = -\ 4[/tex] <== separate into 2 equations and solve

[tex]h+1 = 4, \ h+1 = -\ 4\\\\. \ -1 -1, \ \ \ \ -1\ \ \ \ -1\\\\h=3, \ h=-5[/tex]

Hope this helps!

What is the area of the shape below?

Answers

Answer:

A = 192 units²

Step-by-step explanation:

the figure is a trapezium.

the area (A) of a trapezium is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the height between the bases and b₁, b₂ are the bases

here h = 12 , b₁ = 12 , b₂ = 20 , then

A = [tex]\frac{1}{2}[/tex] × 12 × (12 + 20) = 6 × 32 = 192 units²

ASAP GIVING 5 STARS AND A LIKE AND BRAINLIEST 412 ÷ 10¹

Answers

Answer:

Your answer would be:

41.2

10¹ = 10

412 / 10 = 41.2

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

help me please‼️‼️ har har har har har

Answers

Answer: -63.5 feet per mintue

Step-by-step explanation:

We can look at what the problem is asking for, and solve. It says average change in altitude per minute:

[tex]\frac{altitude}{minute}[/tex] = [tex]\frac{1,524}{24}[/tex] = 63.5 feet per mintue

Since she is hiking down the mountainside, this will be negative. We arrive at our final answer of:

-63.5 feet per mintue

Which equation can be used to find x, the length of the hypotenuse of the right triangle? a triangle has side lengths 63, 16, x. 16 63 = x 16 squared 63 = x (16 63) squared = x squared 16 squared 63 squared = x squared

Answers

The Pythagoras is the sum of the square of two sides equal to the square of the longest side. The equation is x² = 16² + 63² then the correct option is D.

What is a right-angle triangle?

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

The dimensions of the triangle are 16, 63, and x.

Where x is the hypotenuse.

By the Pythagoras theorem, we have

x² = 16² + 63²

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

Answer:

D. 16 squared + 63 squared = x ^2 is the answer.

Step-by-step explanation:

What is x in this equation -3x+7 = 1

Answers

the answer is x=2 because you have to subtract 7 on both sides so you get -3x=-6 then to get x alone you have to divide by -3 because a negative and a negative divided together makes a positive so you divide -3 to both sides and you get x=2

Find the length of x in the 45 degree, -45 degree, -90 degree triangle. Show work

Answers

Answer:

Option A

Step-by-step explanation:

Given:

Angle=45°Base= 9hypotenuse = x

[tex] \sf \therefore \: cos \: 45 \degree = \frac{base}{hypotenuse} = \frac{9}{x} [/tex]

[tex] \sf \cos(45 \degree) = \frac{1}{ \sqrt{2} } [/tex]

[tex] \sf \frac{1}{ \sqrt{2} } = \frac{9}{x} [/tex]

[tex] \therefore \: \rm \: x = 9 \sqrt{2} [/tex]

hello, can someone answer this question, please show work

Answers

Answer:

It's 10(10+3)

Step-by-step explanation:

10x10 is 100 and 3x10 is 30 which gives you 100+30

Answer:

a) 10(10 + 3)

Step-by-step explanation:

Which expresison is equivalent to 100 + 30 (130)?

a) 10(10 + 3)

10(10) + 10(3)

100 + 30 <== equivalent

130

b) 10(10 + 2)

10(10) + 10(2)

100 + 20 <== NOT equivalent

120

c) 5(20 + 25)

5(20) + 5(25)

100 + 125 <== NOT equivalent

225

d) 10(10 + 4)

10(10) + 10(4)

100 + 40 <== NOT equivalent

140

Therefore, the correct answer is 10(10 + 3)

Hope this helps!

What is the square root of 25

Answers

Answer: 5

Step-by-step explanation:

5*5 is equal to 25

Answer:

Step-by-step explanation: The square root of 25 is 5 because 5x5=25 or [tex]5^{2}[/tex]=25

The greenhouse pictured below can be modeled as a rectangular prism with a half-cylinder on top. The rectangular prism is 20 feet wide, 12 feet high, and 45 feet long. The half-cylinder has a diameter of 20 feet.

To the nearest cubic foot, what is the volume of the greenhouse?

Answers

The volume of the greenhouse made from a rectangular prism with a half-cylinder on top is 17869 ft³

What is volume?

Volume is the amount of space occupied by a three dimensional shape or object.

The volume of the rectangular prism = length * width * height = 20 * 12 * 45 = 10800 ft³

The volume of the half cylinder = (1/2) * π * (diameter/2)² * height = 0.5 * π * (20/2)² * 45 = 7069 ft³

Volume of the greenhouse = 10800 ft³ + 7069 ft³ = 17869 ft³

The volume of the greenhouse made from a rectangular prism with a half-cylinder on top is 17869 ft³

Find out more on volume at: https://brainly.com/question/12410983

Please help! WILL GIVE BRAINLIEST! George and Sarah were building a cone-shaped sand castle. After some time, the diameter of the sand shaped cone was 12 in. and the height was 14 in. What is the approximate volume of the sand cone rounded to the nearest hundreth? (Show your work. Remember you can draw a picture to help you solve the problem). Label your answers with the correct units.

Use 3.14 to approximate pi

Answer:

They kept adding sand, and ten minutes later the volume of the sand cone had increased by 30%. What is the approximate volume of the sand cone now? Label your answers with the correct units. (Show your work) Use 3.14 to approximate pi

Answers

Answer:

volume = 527.52 in³

volume increased by 30% = 685.776 in³

Step-by-step explanation:

Volume of a cone

[tex]V=\dfrac13\pi r^2h[/tex]

(where r is the radius and h is the height)

Given:

diameter = 12 in ⇒ radius = 6 inheight = 14 in[tex]\pi =3.14[/tex]

[tex]\implies V=\dfrac13 \cdot 3.14 \cdot 6^2 \cdot 14[/tex]

[tex]\implies V=527.52 \ \sf in^3[/tex]

---------------------------------------------------------------------------

If the volume increases by 30% then it will now be 130% of the original volume.

130% as a decimal = 130/100 = 1.3

Therefore, to find the new volume, multiply the original volume by 1.3.

[tex]\implies V=527.52 \cdot 1.3[/tex]

[tex]\implies V=685.776 \ \sf in^3[/tex]

PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS! An inheritance of 2 Million was given to a young professional by his parents. He invested the entire amount in real estate, mutual funds, government bonds, and crytocurrencies.

Answers

Answer:

a) 17.5%

b) $150,000

c) 27°

Step-by-step explanation:

Angles around a point add up to 360°.

Therefore, to find the percentage of the portion of the pie chart, divide the degree of the portion by 360° and multiply by 100%

Assuming that Real Estate is half of the circle, and Mutual Funds are a quarter of the circle.

a) Government Bonds = (63° ÷ 360°) x 100% = 17.5%

b) Crypto Currency = 90° - 63° = 27°

Therefore, (27° ÷ 360°) x 100% = 7.5%

7.5% of $2,000,000 = 0.075 x $2,000,000 = $150,000

c) Crypto Currency = 90° - 63° = 27°

Find percentage (whole is 360°)

63/360×1000.175(100)17.5%

Angle of crypto=180-(90+63)=180-153=27°

Percentage:-

27/360×1000.075(100)7.5%

Total

2M(0.075)0.15M150K

Found in second part

BIG IDLAS MATH
#19 i
Evaluate the expression. Write your answer in scientific notation.
(6 x 10-3) + 0.23 – (5 x 10-2) =

Answers

Answer:

Step-by-step explanation:

9.23

Jack rides in a motorboat against a river current for 36 km. Then he returns to his starting point by floating down river on a raft. Tommy travels 9 hours less on the motorboat than on the raft. Find the speed of the river current if the speed of the motorboat in still water is 15 km/h.

Answers

Answer:

3 km/h

Step-by-step explanation:

You want to know the speed of the river current if floating 36 km downstream takes 9 h longer than the trip upstream in a boat with a speed relative to the current of 15 km/h.

Time

The relation between time, speed, and distance is ...

time = distance / speed

If c represents the speed of the current, then 15-c is the speed upstream. The relation between the travel times is ...

36/(15 -c) = 36/c -9

Solution

Multiplying by c(15-c), we have ...

36c = 36(15 -c) -9(c)(15-c) . . . . . . . multiply by c(15-c)

36c = 540 -36c -135c +9c² . . . . . eliminate parentheses

9c² -207c +540 = 0 . . . . . . . collect terms

c² -23c +60 = 0 . . . . . . . . divide by 9

(c -20)(c -3) = 0 . . . . values that make the factors zero are c=20, c=3

The speed of the current is 3 km/h.

Additional comment

The speed of the current cannot be greater than 15 km/h, or the boat could not go upstream. The speed of the current cannot be greater than 4 km/h, or the trip downstream would take less than 9 hours.

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