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3 years ago

Find the length of one of the legs of the triangle

Mathematics

2 answers:

CaHeK987 [17]3 years ago

5 0

The 1 st corner is 90*

klemol [59]3 years ago

4 0

Answer:

Step-by-step explanation:

Right isosceles triangle, 2 angles of 45° and 2 equal side

you can solve with the formula C = i/2√2

16 : 2 √2

8√2

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Which of the following represents a solution to the equation d3 - 343?

Levart [38]

I don’t see any multiple choice but d3 -343 is factored as (d-7)(d^2+7d+49)

3 0

3 years ago

Danny's truck has a fuel tank with a capacity of 20 gallons of gas. The truck averages 17 miles per gallon of gas. The function

Fittoniya [83]

For this case we have the following function:

$M (g) = 17g$

Where,

g: number of gallons of gas

M (g): number of miles that Danny's truck travels

We know that the maximum capacity is 20 gallons of gas.

Therefore, the maximum distance the truck can travel is given by:

$M (20) = 17 (20)$

$M (20) = 340$

Thus, the domain of the function is:

$0 \leq g \leq 20$

The range of the function is:

$0 \leq M(g) \leq 340$

Answer:

A domain and range that are reasonable for the function are:

D. D: 0 ≤ g ≤ 20

R: 0 ≤ M (g) ≤ 340

5 0

3 years ago

A rectangular prism has a length of 12 centimeters, a width of 6 centimeters, and a height of 9 centimeters. A cross section is

Klio2033 [76]

Answer:

<h2>The perimeter of the cross section is 30 centimeters.</h2>

Step-by-step explanation:

In this problem we have the intersection of a rectangular prism an a plane.

The dimensions of the rectangular plane are

$l=12cm\\w=6cm\\h=9cm$

Assuming the plane is cutting the prism horizontally, the cross section would have dimensions

$w=6cm\\l=9cm$

Because only the height would be cut.

So, the perimeter of the rectangle cross-section is

$P_{cross}=2(l+w)=2(6+9)=2(15)=30cm$

Therefore, the perimeter of the cross section is 30 centimeters.

3 0

3 years ago

Stefan sells Jin a bicycle for $147 and a helmet for $18. The total cost for Jim is 150% of what Stefan spent originally to buy

soldi70 [24.7K]

Answer:

He spent $110.00 on both originally

Step-by-step explanation:

Add both prices too get 165

Then use the equation $\frac{150}{100}$ = $\frac{165}{x}$

cross multiply to get 150x=16500

Divide 16500 by 150 to get x alone

x= 110

4 0

3 years ago

Jillian is trying to save water, so she reduces the size of her square grass lawn by 8 feet on each side the area of the smaller

horsena [70]

Answer: 20 feet by 20 feet.

Step-by-step explanation:

1. You know that $x$ is the original measure of one side. Since it is a square, all its sides are equal.

2. Therefore, to solve the problem you only need to solve for $x$ , as you can see below:

- You have that:

$(a-b)^{2}=a^{2}-2ab+b^{2}$

- Then, you obtain the following quadratic equation:

$(x-8)^{2} =144\\x^{2}-2(x)(8)+8^{2}=144\\x^{2}-16x-80=0$

- Apply the Quadratic formula to solve it:

$x=\frac{-b+/-\sqrt{b^{2}-4ac}}{2a}\\a=1\\b=-16\\c=-80$

- Then, you obtain:

$x_1=20\\x_2=-4$

3. The dimensions cannot be negative, therefore, the answer is: 20 feet by 20 feet.

3 0

3 years ago

Read 2 more answers