1. Write the word sentence as an equation. 2. Then solve the equation. 5/7a=25

Answer:

[tex]16\sqrt{17}[/tex]

Step-by-step explanation:

The perimeter is two times width plus two times length:

[tex]2\sqrt{17} + 2\cdot 7\sqrt{17} = 2\sqrt{17} + 14\sqrt{17} = 16\sqrt{17}[/tex]

There is no way to simplify further.

Answer:

If figures are similar, corresponding sides have same ratio.

Side IJ x is corresponding with QR, and side HK with PS:

Ratio of corresponding sides:

Answer:

Step-by-step explanation:

[tex]a_{n}=a_{1}+(n-1) d\\n=9\\12=0+(9-1)d\\8d=12\\d=\frac{12}{8}=\frac{3}{2}\\again\\27=0+(n-1)*\frac{3}{2}\\n-1=27*\frac{2}{3}=18\\n=18+1=19[/tex]

Answer:

3x(x-1) = 0

x= 1

Step-by-step explanation:

is 3x2 supposed to mean 3x^2 i dont know

Answer:

[tex]V=497.16\ cm^3[/tex]

Step-by-step explanation:

The attached figure shows a cone of radius 5 cm and height 19 cm. The formula for the volume of a cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

Substitute all the values,

[tex]V=\dfrac{1}{3}\times 3.14\times 5^2\times 19\\\\V=497.16\ cm^3[/tex]

So, the volume of the cone is equal to [tex]497.16\ cm^3[/tex].

Answer:

1.41

Step-by-step explanation:

8.47÷6 = 1.4116

Answer:-1/7

Step-by-step explanation:

i could be wrong but i tink it going to negative would be the opposite

Answer:

The area of a triangle is 1/2BH, or 1/2 times the base times the height.

If the area = 6, and B and H must both be whole numbers.

The area of the triangle ΔSTU is given by A = 12 units²

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the area of the triangle ΔSTU be represented as A

Now , the area of triangle ΔQTU is 6 square units, and the area of triangle ΔRSU is 6 square units

So , the base of the triangle ΔSTU = 6 units

The height of the triangle ΔSTU = 4 units

So , area of the triangle = ( 1/2 ) x Length x Base

On simplifying , we get

The area of triangle ΔSTU = ( 1/2 ) x 4 x 6

The area of triangle ΔSTU = 12 units²

Therefore , the value of A is 12 units²

Hence , the area of the triangle is 12 units²

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ3

The complete question is attached below :

The area of triangle QTU is 6 square units, and the area of triangle RSU is 6 square units. The dimensions in the figure below are labeled in units. What is the area of triangle STU in square units?

Answer:

the answer to this question is seven

Answer:

28/15

Step-by-step explanation:

Answer:

(4.5, 8) and (8, 4.5)

Step-by-step explanation:

Given the equations

(x+y)=12.5 ... 1

X ×Y=36 .... 2

From 2, Y = 36/X

Substitute into 1

x+ 36/x = 12.5

x^2 + 36 = 12.5x

x^2 - 12.5x + 36 = 0

10x^2 - 125x + 360 = 0

2x^2 - 25x + 72 = 0

Factorize

2x^2 - 16x - 9x + 72 = 0

2x(x-8)-9(x-8) = 0

2x-9 = 0 and x-8 = 0

x = 9/2 and x = 8

when x = 9/2

Y = 36/(9/2)

Y = 36 * 2/9

Y = 8

When x = 8

Y = 36/X

Y = 36/8

Y =  4.5

Hence the solutions are (4.5, 8) and (8, 4.5)

Answer: B. The procedure for constructing the confidence interval is robust. The larger the sample​ size, the more resistant the mean.​ Therefore, the confidence interval is more robust.

Step-by-step explanation:

Large sized data samples usually have more stability than data with small samples, they yield a mean value which edges closer to the value of the population data. This means that large size data samples will have a mean which is more resistant to change than samples with a lower sample size. The confidence interval gives robustness while constructing a model by giving te leverage for a range of values based in a certain level of confidence upon which a statistical vale can be tested for validity.

Answer: 1/2 times 6x equals 3x  and then you do 1/2 times 4 and that equals 2 then multiply the 3 and 4 in the parenthesis and that is 12 then add 12 to the 3 and 2 and your answer is 17.

Step-by-step explanation:

Given:

The regression equation is:

[tex]y=-25x+436[/tex]

The given point is (17,3.8).

To find:

The residual for the given point.

Solution:

We have,

[tex]y=-25x+436[/tex]

Substituting [tex]x=17[/tex], we get

[tex]y=-25(17)+436[/tex]

[tex]y=-425+436[/tex]

[tex]y=11[/tex]

The predicted value at [tex]x=17[/tex] is 11.

The given point is (17,3.8). It means the observed value at [tex]x=17[/tex] is 3.8.

Formula for residual:

Residual = Observed value - Predicted value

Residual = [tex]3.8-11[/tex]

Residual = [tex]-7.2[/tex]

Therefore, the residual for the given point is -7.2.

Answer:

100.03

Step-by-step explanation:

i think it is correct

Answer:

3/9

Step-by-step explanation:

because there are total 9 marbles. 3 red, 4 green and 2 blue.so the probability is 3/9.

Answer:

19:

4  <   third side    <   14  

20:

3  <   third side    <   13  

Step-by-step explanation:

hint: go to http://www.17 28.org/trianinq.htm

(fix the space between 17 and 28)

you're welcome xx

Answer:

27

Step-by-step explanation:

2 is vertical to 1, making it 27 as well. then, 4 is corresponding to 4, making it 27

Answer:

27°

Step-by-step explanation:

angle 1 is vertically opposite to angle 2

angle 2 is correspondence to angle 4

vertically opposite and corresponding angles are equal

Answer:

75.51%

Step-by-step explanation:

hopefully this helps

x/100 = 74/98

98x = 7,400

x = 7,400/98

× = 75.51 % of 98

Answer:

     VC    ,    HC     ,      S

A)    6      ,     3       ,      2

b)     8     ,      2       ,      4

c)     40   ,      20     ,      2

Answer:

Graph   Vertical   Horizontal   Slope

A            6               3                    2

B            2               8                    .25

C            40             20                 2

Step-by-step explanation:

Graph A

vertical...

9-3=6

horizontal...

4-1=3

slope...

6/3=2

Graph B

vertical...

3.5-1.5=2

horizontal...

10-2=8

slope...

2/8=.25

Graph C

vertical...

75-35=40

horizontal...

30-10=20

slope...

40/20=2

Step-by-step explanation:

Given

5y + 68 = 3y + 96 (vertically opposite angles) and

3x + 18 = 5x + 2 (vertically opposite angles)

Now solve for x.

[tex]3x + 18 = 5x + 2 \\ 3x + 18 - 5x = 2 \\ - 2x + 18 = 2 \\ - 2x = 2 - 18 \\ - 2x = - 16 \\ x = - 16 \div - 2 \\ = 8[/tex]

Now Solve for y.

[tex]5y + 68 = 3y + 96 \\ 5y + 68 - 3y = 96 \\ 2y + 68 = 96 \\ 2y = 96 - 68 \\ 2y = 28 \\ y = 14[/tex]

Answer:

Y=75     x=75

Step-by-step explanation:

This is a scalene triangle and the total of the degrees will always be 180. So 180-30=150

since there are two sides split 150 in 2. 150 divided by 2 = 75

Answer:

n = 4.5

Step-by-step explanation:

I think it is 4.5 because n is 3 units ahead of 1.5 on the number line:

1.5+3=4.5

Answer:

Nan

Step-by-step explanation:

Answer:

-3/4

Step-by-step explanation:

The slope is -3/4

The line goes down three and four left.  

Answer:

yes

Step-by-step explanation:

i know this

Answer:

y=40x-30

Step-by-step explanation: