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2 years ago

Find the area of each shape

Mathematics

1 answer:

a_sh-v [17]2 years ago

5 0

The square is 130 in squared and the other shape is 54 in squared. If you're looking for the sum of the whole thing, its 185 in squared.
square: 13*10=130
triangle: 7*4= 28/2=14
rectangle: 10*4=40

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Please help!! Write in simplest radical form: √7/8 Show how you figured it out

12345 [234]

Given expression: $\sqrt{\frac{7}{8}}$ .

$\mathrm{Apply\:radical\:rule\:}\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}$

$=\frac{\sqrt{7}}{\sqrt{8}}$

$\sqrt{8}=\sqrt{2^2\cdot \:2}=2\sqrt{2}$

$\frac{\sqrt{7}}{\sqrt{8}} =\frac{\sqrt{7}}{2\sqrt{2}}$

$\mathrm{Rationalize\:}\frac{\sqrt{7}}{2\sqrt{2}}$

$\mathrm{Multiply\:by\:the\:conjugate}\:\frac{\sqrt{2}}{\sqrt{2}}$

$=\frac{\sqrt{7}\sqrt{2}}{2\sqrt{2}\sqrt{2}}$

$=\frac{\sqrt{14}}{4}$

$=\frac{\sqrt{14}}{4}$ .

3 0

2 years ago

A sample of bacteria is growing at a rate of 8% per hour compound continuously. How many hours will it take for the sample to do

Anettt [7]

Answer:

The sample would double in 9 hours

Step-by-step explanation

The number of hours it will take for the sample to double can be found using the 72 rule.

The 72 rule is such that a growth rate would double itself by it is used in dividing the number 72 as shown below:

number of hours =72/8=9 hours

The number of hours it would take the sample to double is 9 hours as computed above.

6 0

2 years ago

The length of a rectangle is 8 m more than 6 times the width. The perimeter is 156 m. Find width.

Alla [95]

<span>width = x
</span><span>length = 6x + 8

x + 6x + 8 = 156/2
7x + 8 = 78
7x = 78 - 8
7x = 70
x = 70/7
x = 10 m </span>← width

5 0

3 years ago

A quadrilateral WXYZ has vertices W(3, −5), X(1, −3), Y(−1, −5), and Z(1,−7). What are the vertices of r(90, O)(WXYZ)?

VashaNatasha [74]

Given:

A quadrilateral WXYZ has vertices W(3, −5), X(1, −3), Y(−1, −5), and Z(1,−7).

Rule of rotation is $r_{(90^\circ, O)}(WXYZ)$ .

To find:

The vertices after rotation.

Solution:

We know that, $r_{(90^\circ, O)}(WXYZ)$ means 90 degrees counterclockwise rotation around the origin.

So, the rule of rotation is defined as

$(x,y)\to (-y,x)$

Using this rule, we get

$W(3,-5)\to W'(5,3)$

$X(1,-3)\to X'(3,1)$

$Y(-1,-5)\to Y'(5,-1)$

$Z(1,-7)\to Z'(7,1)$

Therefore, the required vertices after rotation are W'(5,3), X'(3,1),Y'(5,-1) and Z'(7,1).

8 0

2 years ago

The length and width of a rectangle are 7 cm and (x-8) cm respectively. Find the value of x if the area of the rectangle is 42 c

soldi70 [24.7K]

Given length l=7
width w=x-8
area=42
area=wl
42=7(x-8)
42=7x-56
7x=98
x=98/7
x=14

6 0

2 years ago

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