Answer:
5.1
Step-by-step explanation:
a² + b² = c²
1² + 5² = c²
1 + 25 = c²
26 = c²
c = 5.1
Answer:
The constant of variation is k =
3/8
When a = 1 and b = 5, what is the value of c?
3/40
Linda is building steps for her porch. What is the volume of the first step?
Answer quick please!
Answer:
ok to do this we multiple 60 times 60 to get 3600
now we multiple this by 120
432000
now we divide this by 4
108000
so the volume of the first step is 108000 cm cubed
Find the surface area of a water tower that is 40 feet tall and 20 feet across the base.
______ square feet
Answer:
the surface area is 3140 square feet
Step-by-step explanation:
The computation of the surface area is given below:
Given that
Diameter = 20 feet
radius = 20 ÷ 2 = 10 feet
Surface area =
= 2 × 3.14 × (10)^2 + 2 × 3.14 × 10 × 40
= 6.28 × 100 + 6.28 × 400
= 628 + 25.12 × 100
= 628+ 2512
= 3140 square feet
hence, the surface area is 3140 square feet
The surface area is 3140 feet².
What is Surface Area?Surface area is the amount of space covering the outside of a three-dimensional shape.
Given that:
Diameter = 20 feet
radius = 20 ÷ 2 = 10 feet
Now, Surface area will be,
=2πr²+ 2πrh
= 2 × 3.14 × (10)² + 2 × 3.14 × 10 × 40
= 6.28 × 100 + 6.28 × 400
= 628 + 25.12 × 100
= 628+ 2512
= 3140 feet²
hence, the surface area is 3140 feet².
Learn more Surface Area here:
https://brainly.com/question/27753868
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Kip has a collection of 68 marbles. Each glass marble has a mass of 18.5 grams. Each steel marble has a mass of 66 grams. What is the total mass of 48 glass marbles and 20 steel marbles in kilograms? PLS HELP!
Answer:
2.208 kg
Step-by-step explanation:
Total mass of glass marble
= 18.5×48
= 888 g
Total mass of steel marble
= 66×20
= 1320 g
Total mass of 68 marble including steel 20 and glass 48
= 888 + 1320
= 2208 g
In kilograms 2208
= 2.208 kg
Please mark as brainliest answer
Gabriela swam 84 lengths of the pool in 1 hour. Which table correctly shows equivalent ratios for this situation?
very easy my friendStep-by-step explanation:
If the area of a rectangular prism is represented by the volume -5x^5 - 1 and the height is 5x + 5, what is the area of the base in terms of x?
Answer:
= -5[tex]x^{4}[/tex] - 1/5
0r
-5[tex]x^{4}[/tex] - 0.2
Step-by-step explanation:
Volume of a rectangular prism = area of base x height
-5[tex]x^{5}[/tex] - 1 = 5x + 5 x area of the base
to determine the area of the base, divide both sides of the equation by (5x + 5)
area of the base = (-5[tex]x^{5}[/tex] - 1) / (5x + 5)
= -5[tex]x^{4}[/tex] - 1/5
0r
-5[tex]x^{4}[/tex] - 0.2
The sum of squares of two
numbers is 80 and the square of
difference between the two numbers
is 36. Find the product of two
numbers .
Answer:
the product of the 2 numbers is 22
Step-by-step explanation:
x² + y² = 80
(x - y)² = 36
=>
x - y = 6
or y - x = 6
let's start with the first one x-y=6
x = 6 + y
=>
(6+y)² + y² = 80
y² + 6y +6y + 36 + y² = 80
2y² + 12y + 36 = 80
2y² + 12y - 44 = 0
y² + 6y - 22 = 0
the solution of a quadratic equation
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case here we have an squadron in y.
a=1
b=6
c=-22
(-6 ± sqrt(36 + 4×22))/2 = (-6 ± sqrt(36+88))/2 =
= (-6 ± sqrt(124))/2 = (-6 ± sqrt(4×31))/2 =
= (-6 ± 2×sqrt(31))/2 = -3 ± sqrt(31)
y1 = -3 + sqrt(31)
y2 = -3 - sqrt(31)
=>
x1 = 6 + -3 + sqrt(31) = 3 + sqrt(31)
x2 = 3 - sqrt(31)
control :
(-3 + sqrt(31))² + (3 + sqrt(31))² = 80
9 - 3 sqrt(31) - 3 sqrt(31) + 31 + 9 +3 sqrt(31) + 3 sqrt(31) + 31 = 80
9 + 31 + 9 +31 = 80
18 + 62 = 80
80 = 80 correct
solving now for y-x=6
delivers exactly the same calculations, just with x and y trading places.
so, the resulting 2 number pairs are the same.
the product of the 2 numbers :
(3 + sqrt(31))(-3 + sqrt(31)) = -9 - 3 sqrt(31) + 3 sqrt(31) + 31 =
= -9 + 31 = 22
(3 - sqrt(31))(-3 - sqrt(31)) = -9 + 3 sqrt(31) - 3 sqrt(31) + 31 =
= 22
so, the product is the same in both cases.
The ratio of teachers to students at Happy Hill School is 2:29 , which means that for every 2 teachers there are students. There are 7 doctors and 27 nurses at Happy Hill Hospital. The ratio of doctors to nurses is, therefore, 7 7:_.
Find the lateral area of this square based pyramid. 10in 5 in [ ? ]in?
Answer:
Step-by-step explanation:
Lateral area, Al = a√(a² + 4h²)
Where,
a = base edge = 5 in
h = height = 10 in
Lateral area, Al = a√(a² + 4h²)
= 5√(5² + 4*10²)
= 5√(25 + 4*100)
= 5√(25 + 400)
= 5√425
= 5 * 20.615528128088
= 103.07764064044
Approximately,
Lateral area = 103.08 in²
Answer: 100
Step-by-step explanation: each side has an area of 10*5/2, or 25, and there are 4 lateral sides, so times 4, it's 100
Find the value of x in the given
right triangle.
12
x = [?]
X
62°
Enter your answer as a decimal rounded to the
nearest tenth.
Answer:
You divide 62/12=5.166
Place the indicated product in the proper location on the grid.
(x + 2y)2
Answer:
32
Step-by-step explanation:
d6 plus four nine its wrong "+_)
Express 60g as a percentage of 3kg?
Answer:
SOLUTION IS ON PICHOPE IT HELPS YOUMARK AS BRAINLIST ANSWERDoes someone know what the answer is? Please, help.
Answer:
III
Step-by-step explanation:
you got this, man! good luck [:
Sam's Sweet Shoppe sells candy in bags of 30 pounds and bags of 50 pounds. Last week, Richard bought 300 pounds of candy for a birthday party from Sam's Sweet Shoppe. If at least one 30 pound bag of candy and at least one 50 pound bag of candy were purchased, what is the number of the 30 pound bags purchased?
Answer:
5
Step-by-step explanation:
30 x 5=150
then you buy 3, 50 pound bags: 3 x 50= 150
150+150=300
Answer:
5
Step-by-step explanation:
five is the only number(less then 10) that you can multiply by 30 to get a multiple of five
30x5=150
then you buy 3, 50 pound bags: 3x50= 150
150+150=300
Use the following to write and solve a proportion to find the values of X, Y and Z.
Answer:
x = 48-32 = 16
y = 32/16 × 10 = 20
z = 48/32 × 26 = 39
simplify
x - ( - 6 x )
Answer:
7x
Step-by-step explanation:
Answer:
answer
x - ( - 6x )
x + 6x
= 7x
Find the measure of a single exterior angle of the regular polygon shown below. If necessary, round to the nearest tenth.
Answer:
32.7 degrees
Step-by-step explanation:
This polygon has 11 sides.
The measure of all exterior angles adds up to 360.
Find the measure of a single exterior angle by dividing 360 by the number of sides.
360/11 ≈ 32.7
The measure of a single exterior angle of the given regular polygon is 32.5 degrees
We have given that the diagram of regular polygon shown below
and, we have to find the measure of a single exterior angle.
Therefore we have the given polygon has 11 sides.
What is the meaning of exterior angle?
The angle between a side of a rectilinear diagram and adjacent side extended outward.
The measure of all exterior angles adds up to 360.
We have to find the measure of a single exterior angle by dividing 360 by the number of sides
So we get,[tex]360/11 = 32.7[/tex]
Therefore, the measure of a single exterior angle of the given regular polygon is 32.5 degrees.
To learn more about the exterior angle visit:
https://brainly.com/question/17972372
how tall is three feet
Answer: if you mean Inches, its 25.
Answer:
36 inches or 1 yard
Step-by-step explanation:
Question 2 - Cost of a Paver
The pavers cost $8 per square metre ($8/m?). There are 4 pavers in a
square metre.
Calculate how much one paver costs. Show your working
2$ each
Answer:
8$ divided by 4.which is equal to 2
Factorize 24x3y2 – 12x2y ASAP
Answer:
12x²y(2xy - 1)
Step-by-step explanation:
Given
24x³y² - 12x²y ← factor out 12x²y from each term
= 12x²y(2xy - 1)
help plss i don't get it can yall plz help
Answer: 24, b
Step-by-step explanation:
So it said "In the Math Club", 67% are not in the literature club. We also know that this 67% is 16 people.
Now we can set up an equation to find the total number of people in the math club. Let's say the total number of people in the Math club is x, so 0.67x = 17, and x = 25.37 rounded. So if 25 people in total, 16 not in the literature club, then that means 25-16 = 9 people are in both the Math club and the Literature club.
So of the students "Not in the Math Club", it said that 78 percent are not in the Literature Club. This means 22 percent are in the literature club. We also know 4 people are in the literature club.
Now we can set up an equation to find the total number of people not in the math club. Let's say the total number of people not in the Math club is x, so 0.22x = 4, x = 18.18 rounded. So if 18 in total, 4 in the literature club, than 14 not in the literature club.
Since x = 9, and y = 14, x+y will equal 23, rounding up to 24 since we rounded down the total number of people.
In triangle XYZ, m∠Z > m∠X + m∠Y. Which must be true about △XYZ?
m∠X + m∠Z < 90°
m∠Y > 90°
∠X and∠Y are complementary
m∠X + m∠Y < 90°
Answer:
angle X + angle Y < 90°
Step-by-step explanation:
sum of angles of triangle is 180 ° ,
Answer:
because mZ > mX + mY
[tex] = > 18 0 - (mx + my) > mx + my \\ < = > 2(mx + my) < 180 \\ < = > mx + my < 90[/tex]
Can someone help me with this?
Answer:
19.53
Step-by-step explanation:
First let's find the new price of the backpack:
40% of 29.99 is
29.99 * 0.40 = 11.99
So the new price of the backpack is
29.99 - 11.99 = 18.00
Now let's find the price with tax
8.5% of 18.00 is
18.00 * 0.085 = 1.53
So the cost of the backpack is
18.00 + 1.53 = $19.53
Answer:
$19.52
Step-by-step explanation:
29.99 x 0.60 = 17.994, (60% of 29.99)
1.085 x 17.994 = 19.52349 = $19.52 (2dp) , - (Add 8.5% Tax)
The area of a rectangle is represented by the function A = n^3 - 6n^2 - 8n + 48.
What is the perimeter of the rectangle? Describe how you found your answer.
Answer:
P = 2(n - 6) + 2(n^2 - 8)
Step-by-step explanation:
Remembering that Area = Length times Width, we factor the given function
A = n^3 - 6n^2 - 8n + 48 in the expectation that the resulting factors represent the length and width respectively:
A = n^3 - 6n^2 - 8n + 48 factors as follows:
A = n^2(n - 6) - 8(n - 6), or A = (n - 6)(n^2 - 8)
We can label '(n - 6)' "width" and '(n^2 - 8'
length.
Then the perimeter, P, of the rectangle is P = 2(length) + 2(width). which works out here to:
P = 2(n - 6) + 2(n^2 - 8)
asap plz give answer
Answer:
B) Rotation
Step-by-step explanation:
The arrows at the end of each line imply a line, not a line segment. Since the they both pass through the origin, they rotate about the origin, hence B) Rotation.
Answer:
A I'm about 89% certain that's a vertical translation
Which of the following is the line of symmetry for the figure shown below?
B.
A. Line A
O
B. Line B
C. Line C
O D. This figure is not symmetrical.
Answer:
Line A
Step-by-step explanation:
A line of symmetry is a line that divides a shape into exactly two equal halves.
A triangle is a polygon with three sides and three angles. A scalene triangle has no lines of symmetry, an isosceles triangle has more than one line of symmetry while an equilateral triangle has three lines of symmetry.
From the diagram we can see that line A divides the figure into two equal halves, hence line A is the line of symmetry.
Please Help? For the function f(x) = 2|x – 1|, what is the average rate of change over the interval –1 ≤ x ≤ 1?
average rate of change:__
========================================================
Explanation:
Plug in x = -1 to find that
f(x) = 2|x-1|
f(-1) = 2|-1-1|
f(-1) = 2|-2|
f(-1) = 2*(2)
f(-1) = 4
If you repeat for x = 1, you should find that f(1) = 0
--------
Now use the average rate of change formula below. Effectively, we're using the slope formula more or less.
[tex]m = \frac{f(b)-f(a)}{b-a}\\\\m = \frac{f(1)-f(-1)}{1-(-1)}\\\\m = \frac{0-4}{1+1}\\\\m = \frac{-4}{2}\\\\m = -2\\\\[/tex]
The average rate of change on this interval is -2
This is the same as finding the slope through the points (-1, 4) and (1, 0).
Can you guys help me pleaseeeee!
Answer: A) True
Step-by-step explanation:
GF and KJ are marked with one dash indicating the are congruent. Same for FH and JL but this time it's marked with 2 dashes. Angles F and J are congruent because they are both right angles. So, we have a side congruent an angle congruent and a side congruent. We can use SAS to say they are congruent.
(Brainliest?)
Need help on this question asap please
Answer:
[tex]\dfrac{1}{6.25} = \dfrac{t}{25}[/tex]
Step-by-step explanation:
A proportion is setting two ratios to be equal to each other.
You are given the price of 1 ticket, so you can set up a ratio of price to ticket.
$6.25 to 1 ticket, or [tex] \dfrac{6.25}{1} [/tex]
The other ratio involves the $25 and the unknown number of tickets, t, $25 can buy.
$25 to t tickets, or [tex] \dfrac{25}{t} [/tex]
To write a proportion, set the two ratios equal.
[tex] \dfrac{6.25}{1} = \dfrac{25}{t} [/tex]
This proportion does not appear in the choices.
Take the reciprocal of both sides.
[tex]\dfrac{1}{6.25} = \dfrac{t}{25}[/tex]
find the slope of the line represented by the data below
slope=
QUËSTIONS:- find the slope of the line represented by the data
ANSWER:-
[tex]SLOPE = \frac{y2 -y1}{x2 - x1} \\ SLOPE = \frac{3 - 9}{4 - 2} [/tex]
[tex]SLOPE = \frac{ - 6}{2} \\ SLOPE = - 3 \: \: ans[/tex]
Answer:
-3
Step-by-step explanation:
Slope(m)=-6/2
=-3/1
=-3
Hope this helps!
A side of the triangle below has been extended to form an exterior angle of 62°. Find the value of x
Answer:
16 degrees
Step-by-step explanation:
62= 46+x
16=x