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4 years ago

What is the area of an equilateral triangle with sides of 10 inches and height of 7 inches?

2 answers:

7 0

Your answer is D. Because the area of a triangle is 1/2bh...10 is your base and 7 is your height ...7*10 =70 then divide by 2... the area is 35

8090 [49]4 years ago

7 0

Answer: D. $35\ in^2$

Step-by-step explanation:

Given: Side of equilateral triangle = 10 inches

Height of equilateral triangle= 7 inches

We know that the area of triangle is given by :-

$\text{Area}=\frac{1}{2}\times base\times height\\\\\Rightarrow\ \text{Area}=\frac{1}{2}\times10\times7\\\\\Rightarrow\ \text{Area}=35\ in^2$

Hence, the area of the given equilateral triangle = $35\ in^2$

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Use the expression to complete the statements. (0.5)10 (0.5)10 is the . (0.5) is the of (0.5)10. 10 is the of (0.5)10. A power i

RideAnS [48]

Question:

Use the expression to complete the statements.

$(0.5)^{10\\$

________ is the power .

(0.5) is the ________

A ______ is another way to write

Answer:

0.5 is the base

10 is the power

$(0.5)^{10\\ = (\frac{1}{2})^{10}$ -- another way to write

Step-by-step explanation:

Given

$(0.5)^{10\\$

Required

Fill ion the gaps

$(0.5)^{10\\$ is pronounced as; 0.5 raise to the power of 10

From the above statement, we can deduce the following:

0.5 is the base

10 is the power

Lastly, another way to write $(0.5)^{10\\$

Express 0.5 as a fraction

$(\frac{5}{10})^{10}$

Simplify the fraction

$(\frac{5/5}{10/5})^{10}$

$(\frac{1}{2})^{10}$

Hence:

$(0.5)^{10\\ = (\frac{1}{2})^{10}$

3 0

3 years ago

Read 2 more answers

Ruth is knitting hats to sell at a local fair. The booth costs her $63 and the materials for each hat cost $10. She plans on sel

aev [14]

Answer: Ruth have to make 7 hats to break even.

Step-by-step explanation:

Break even point is a point where Cost = Revenue.

Let x be the number of hats sold.

Given: Cost of booth = $63

Each hat cost = $10

Selling price for each cost = $19

As per given,

Total cost = Cost of booth+ (Cost of each hat)(Number of hats)

= 63+10x

Total selling price = 19x

For break even,

63+10x=19x

9x=63

x=7

Hence, Ruth have to make 7 hats to break even.

7 0

3 years ago

Hillary buys 3 pounds of Gala apples and some Granny Smith apples. Both kinds of apples cost $4.50 per pound. The total cost is

Elodia [21]

Answer:

24.75 = 3*4.50 + x*4.50

x= 2.5 pounds of Granny Smith apples

Step-by-step explanation:

Gala apples = 3 lbs

Granny apples = x lbs

They cost 4.50 a pound

Total cost = 24.75

Total cost = gala apples * cost per pound + granny apples * cost per pound

Substitute in what we know

24.75 = 3*4.50 + x*4.50

24.75 = 13.50 + 4.5x

Subtract 13.50 from each side

24.75-13.50 = 13.50-13.50 + 4.5x

11.25 = 4.5x

Divide by 4.50 on each side

11.25/4.5 = 4.5x/4.5

2.5 =x

6 0

3 years ago

Read 2 more answers

Factor completely<br> n^4 +8n^2 + 15 =

nata0808 [166]

Answer:

The factor form is $n^4+8n^2+15 = \quad \left(n^2+3\right)\left(n^2+5\right)$

Step-by-step explanation:

When it is required to factor the expression given in the problem, we have to first find a common term or terms, which will be found by either grouping the like terms or the splitting of the terms.

Now the expression that is given here is:

$n^4 +8n^2 + 15$

Now, here we will take:

$u=n^2$

Thus we will get:

$n^4 +8n^2 + 15\\=u^2+8u+15$

Now we will do the middle term split as follows:

$u^2+8u+15\\=\left(u^2+3u\right)+\left(5u+15\right)\\=u\left(u+3\right)+5\left(u+3\right)\\=\left(u+3\right)\left(u+5\right)$

Substituting back $u=n^2$ , we will have:

$\left(u+3\right)\left(u+5\right)\\=\left(n^2+3\right)\left(n^2+5\right)$

Hence, the required factor form of the given expression will be:

$n^4+8n^2+15 = \quad \left(n^2+3\right)\left(n^2+5\right)$

3 0

3 years ago

Figure 2 shows that the travel time from x to y is 2 hours and 45 minutes. If Rihana needs to arrive at y before 12:45 p.m. , wh

Vladimir79 [104]

Answer:

See explanation

Step-by-step explanation:

Travel time between x and y = 2 hours 45 minutes

Rihana needs to arrive at y before 12:45 p.m

what time does she have to get on the bus?

12 : 45 pm - 2 hours 45 minutes

= 10:00 am

This means Rihanna has to get on the bus before 10:00 am

From the options provided, the two possible times are 08:00 am and 09:30 am

8 0

3 years ago