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Amiraneli [1.4K]
3 years ago
6

Alicia is making a triangular sign for the school play. The area of the sign is 558 in. The base of the triangle is 36in. What i

s the height of the triangle?
Mathematics
2 answers:
Juliette [100K]3 years ago
4 0

Answer:31 in

Step-by-step explanation:558 ×1/2 ×36 × h = 31 in

Pie3 years ago
3 0
To find the height of the triangle you will use the formula to find the area of the triangle and the information provided about the area and the base length.

A= 1/2 bh
558 = 1/2 x 36 x h
558 = 18 x h

To solve for the height divide both sides by 18.

This leaves you with 31 = h.

So, the height is 31 inches.
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333 erasers cost \$4.41$4.41dollar sign, 4, point, 41. Which equation would help determine the cost of 444 erasers? Choose 1 ans
Rudiy27

Answer:

Option D will be correct.

Step-by-step explanation:

The 333 erasers cost $4.41.

We have to determine the cost of 444 erasers.

Let the price of 444 erasers is $x.

Therefore, since the number of erasers cost per dollars is constant, hence the equation that would help to determine the cost of 444 erasers will be \frac{333}{4.41} = \frac{444}{x}

⇒ \frac{3}{4.41} = \frac{4}{x}

Therefore, option D will be correct. (Answer)

6 0
3 years ago
the length of a sandbox is three feet longer than it’s width. Write the expression that would represent the area of the sandbox.
Rashid [163]

Part A : D.)

Part B : Length of the sandbox is 10 feet.

Step-by-step explanation:

Given,

Perimeter = 29 ft

We need to find the equation for the perimeter and also the length of the sandbox.

Solution,

Let the width of the sandbox be 'w'.

Now as per question said;

The length of the sandbox is 1 foot longer than twice the width of the sandbox.

So we can say that;

Length =

Now we know that the perimeter is equal to the sum of twice of length and width.

framing in equation form, we get;

Perimeter =

we have given the perimeter, so on substituting the value, we get;

Hence The equation used to find the width is  .

Now we solve for 'w'.

Applying distributive property, we get;

Subtracting both side by '2' we get

Dividing both side by 6 we get;

Width of the sandbox = 4.5 ft

Length of the sandbox =

Hence Length of the sandbox is 10 feet.

6 0
2 years ago
There is a construction zone on a highway. The speeds of vehicles passing through this construction zone are normally distribute
bonufazy [111]
The percentage of vehicles passing through this construction zone that are traveling at a speed of 50 and 57 miles per hour
3 0
3 years ago
562 ÷ Choose... = 14 R2
Zolol [24]

Answer:

7868

Step-by-step explanation:

⇒ This can be written algebraically (with a variable <em>x</em>) as:

562 ÷ x = 14

⇒ Convert the division as a fraction:

\frac{562}{x} = 14

⇒ Multiply both sides by 562 to get rid of the fraction and to isolate the variable <em>x</em>:

562 · \frac{562}{x} = 14 · 562

⇒ Simplify:

x = 7868

<u>Answer:</u> 7868

<em></em>

<em>Hope this helps!</em> :)

4 0
3 years ago
Let f(t) give the number of liters of fuel oil burned in t days, and w(r) the liters burned in r weeks. Find a formula for w by
viktelen [127]

Answer:

7 f(t)

Step-by-step explanation:

So, our f(t) is the number of liters burned in t days. If t is 1, f(t)=f(1) and so on for every t.

w(r) id the number of liters in r weeks. This is, in one week there are w(1) liters burned.

As in one week there are 7 days, we can replace the r, that is a week, by something that represents 7 days. As 1 day is represented by t, one week can be 7t (in other words r = 7t). So, we have that the liters burned in one week are:

w(r) = w[7f(t)]

So, we represented the liters in one week by it measure of days.

So, we can post that the number of liters burned in 7 days is the same as the number of liters burned 1 day multiplied by 7 times. So:

w (r) = w[7 f(t)] = 7 f(t)

Here we hace the w function represented in terms of t instead of r.

3 0
3 years ago
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