Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

corresponding heights.
proportional
to
the
Practice set 1.1
Base of a triangle is 9 and height is 5 . Base of another triangle is 10 and is 6 . Find the ratio of areas of these triangles.

◻ :

corresponding heights. $\newline$ proportional $\newline$ to $\newline$ the $\newline$ Practice set $1$ . $1$ $\newline$ Base of a triangle is $9$ and height is $5$ . Base of another triangle is $10$ and is $6$ . Find the ratio of areas of these triangles. $\newline$ $\square$ :

View step-by-step help

View step-by-step help

Write and solve direct variation equations

Full solution

Q. corresponding heights.

\newline

proportional

\newline

to

\newline

the

\newline

Practice set

1

.

1

\newline

Base of a triangle is

9

and height is

5

. Base of another triangle is

10

and is

6

. Find the ratio of areas of these triangles.

\newline

\square

:

Calculate Second Triangle Area: Now, let's find the area of the second triangle using the same formula. $\newline$ Area of the second triangle = $(10 \times 6) / 2$ . $\newline$ Area of the second triangle = $60 / 2$ . $\newline$ Area of the second triangle = $30$ .
Find Ratio of Areas: Finally, we find the ratio of the areas of the two triangles. $\newline$ Ratio of areas = Area of first triangle / Area of second triangle. $\newline$ Ratio of areas = $\frac{22.5}{30}.$
Simplify Ratio: Simplify the ratio by dividing both the numerator and the denominator by the greatest common divisor, which is $7.5$ in this case. $\newline$ Ratio of areas = $(22.5 / 7.5) / (30 / 7.5)$ . $\newline$ Ratio of areas = $3 / 4$ .

More problems from Write and solve direct variation equations

Question

In a direct variation,

y = 6

x = 2

. Write a direct variation equation that shows the relationship between

x

y

\newline

Write your answer as an equation with

y

first, followed by an equals sign.

Posted 2 months ago

Question

y

varies directly with

x

y = 12

x = 6

y

x = 4

\newline

Write and solve a direct variation equation to find the answer.

\newline

y =

Posted 1 month ago

Question

Which equation shows inverse variation?

\newline

\newline

(\frac{x}{36}) = y

\newline

yx = -74

Posted 2 months ago

Question

y

varies inversely with

x

y = 1

x = 4

y

x = 2

\newline

Write and solve an inverse variation equation to find the answer.

\newline

y =

Posted 1 month ago

Question

What is the value of

\frac{x^{2}}{y^{4}}

x=8

y=2

Posted 10 days ago

Question

(x+4)(2 x-a)=0

\newline

In the given equation,

a

is a constant. If the equation has the solutions

x=4

x=-4

, what is the value of

a

Posted 2 months ago

Question

(2 x+5)(-m x+9)=0

\newline

In the given equation,

m

is a constant. If the equation has the solutions

x=-\frac{5}{2}

x=\frac{3}{2}

, what is the value of

m

Posted 2 months ago

Question

(4 x+3)-(5 x-7)=a x+b

\newline

In the given equation,

b

is a constant. What is the value of

b

Posted 1 month ago

Question

y=\frac{29}{8} x-\frac{2}{3}

\newline

The given equation is graphed in the

x y

-plane. What is the slope of the line?

Posted 1 month ago

Question

a t^{2}+\frac{7}{2} t-4=0

\newline

The given equation has solutions at

t=-8

t=1

. What is the value of the constant

a

Posted 1 month ago