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3 years ago

If these two shapes are similar, find X

Mathematics

1 answer:

ELEN [110]3 years ago

4 0

Answer:

Step-by-step explanation:

If the shapes are similar we can use the side length proportion to find the value of x:

7/91 = x/52 cross multiply expressions

91x = 364 divide both sides by 91

x = 4

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Dario buys applesauce cups for a family reunion. He needs

Jlenok [28]

Answer:

Step-by-step explanation:

he will have extra but its better then having nothing , and only extra by 1

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3 years ago

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How would u find 4 1\5 divided by 2 1\3

Over [174]

Remmber
(a/b)/(c/d)=(a/b)(d/c)=(ad)/(bc)
conver to improper

4 and 1/5=20/5+1/5=21/5
2 and 1/3=6/3+1/3=7/3

(21/5)/(7/3)=(21/5)(3/7)=63/35=9/5=1 and 4/5

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3 years ago

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A rectangle, a triangle, and two congruent semicircles were used to form the figure shown. Rectangle 5cm,20cmcircle : radius 5cm

Schach [20]

Answer:

The area of a shape is the amount of space it occupies

Step 1:

We start by calculating the area of the rectangle using:

$\begin{gathered} A_{rectangle}=l\times b \\ \end{gathered}$

By substituting the values, we will have

$\begin{gathered} A_{rectangle}=l\times b \\ A_{rectangle}=20cm\times5cm \\ A_{rectangle}=100cm^2 \\ A_1=100cm^2 \end{gathered}$

Step 2:

we calculate the area of the triangle using:

$A_{triangle}=\frac{1}{2}\times base\times height$

By substituting the values, we will have

$\begin{gathered} A_{tr\imaginaryI angle}=\frac{1}{2}\times base\times he\imaginaryI ght \\ A_{tr\mathrm{i}angle}=\frac{1}{2}\times10cm\times8cm \\ A_{tr\mathrm{i}angle}=\frac{80cm^2}{2} \\ A_{tr\mathrm{i}angle}=40cm^2 \\ A_2=40cm^2 \end{gathered}$

Step 3:

Calculate the area of the two semicircles

$A_{semicircle}=\frac{\pi r^2}{2}$

By substituting the values, we will have

$\begin{gathered} A_{sem\imaginaryI c\imaginaryI rcle}=\frac{\pi r^{2}}{2} \\ A_{sem\mathrm{i}c\mathrm{i}rcle}=3.14\times\frac{5^2}{2} \\ A_{sem\mathrm{i}c\mathrm{i}rcle}=39.25cm^2 \\ Area\text{ of two semicircle will be} \\ A_3=39.25cm^2\times2 \\ A_3=78.5cm^2 \end{gathered}$

Step 4:

Calculate the area of the shape

We will calculate the area of the shape by adding all the individual areas together

$A_{shape}=A_1+A_2+A_3$

By substituting the values, we will have

$\begin{gathered} A_{shape}=A_{1}+A_{2}+A_{3} \\ A_{shape}=100cm^2+40cm^2+78.5cm^2 \\ A_{shape}=218.5cm^3 \end{gathered}$

Hence,

The area of the shape will be

$\Rightarrow218.5cm^2$

4 0

1 year ago

X^2 - 51 = 14x

Svetradugi [14.3K]

Step-by-step explanation:

x² - 14x - 51 = 0

(x² - 17x) + (3x - 51) = 0

x(x - 17) + 3(x - 17) = 0

(x + 3) (x - 17) = 0

x + 3 = 0 eq1

x = 0 - 3

x = -3

x - 17 = 0 eq1

x = 0 + 17

x = 17

3 0

3 years ago

Can someone give me the answer to all 3 pls

Tatiana [17]

Answer:

1) 24

2) 3,000

3) 4

hope this helps!

3 0

3 years ago