A triangle has an area of 10.5 square feet. The base of the triangle is 6 feet. What is the height?

Answers

Answer 1
Hello,

Let's put what we know in an equation. We know that B X H / 2 = the area of a triangle.

6 X H (height) / 2 = 10.5 Sq. Ft.

If you want to find the height, let's solve for H. I think we should combine 6 and H together, and that would simplify to 6h / 2 = 10.5.

Now to get 6h by itself, let's multiply by 2 to each side. It would then look like: 6h = 21. To finally get "h" by itself, we need to divide h by 6 to each sides. After you do that, the answer simplified is: h = 3.5.

To make sure my answer is correct, let's plug in the height with the base, if it equals 10.5.

6 X 3.5 / 2 = 10.5
(6 X 3.5 ) / 2 = 10.5
(21) / 2 = 10.5
10.5 = 10.5

My answer is correct, since each side equals the same. 
Hope this isn't too confusing, hope this helps! =)











Answer 2

Answer:3.5

Step-by-step explanation:


Related Questions

I need Help with my multi step equations!

Answers

15. -6b+2-5b=36+6b
-11b+2=36+6b
-17b+2=36
-17b=34
b=-2

16. 48+32h=-39+3h
48+29h=-39
29h=-87
h=-3


17. -20r+5=-20r+20
5¥20
no solution

18. a+7=7a+21+18-6a
a+7=a+39
7¥39
no solution

19. -8b+24=24-24b
16b+24=24
16b=0
b=0

20. 5a+4=5a-10
4¥-10
no solution

What is 128/56 simplified⁉️

Answers

To simplify this, try to look for the greatest common factor that both numbers have, which is in this case is 8 (you can find this by using prime factorization, which is using prime numbers to multiply to the number). Since the greatest common factor is 8, you divide the numerator and the denominator by 8 which will give you an answer of 16/7.

Michelle bought 76 pounds of cocoa powder for her bakery. Every day she used the same amount of cocoa powder to make bakery items. After 10 days, Michelle was left with 20.2 pounds of cocoa powder. On average, how many pounds of cocoa powder did Michelle use each day?

5.58 pounds
7.45 pounds
9.62 pounds
12.6 pounds

Answers

5.58 is your answer!
First, subtract 76 and 20.2 which leaves you with 55.8 and that is how much cocoa powder she used.  Now divide that by 10 because that's how many days she used the cocoa powder and you get your answer of 5.58. Answer is A

translate the variable into word phrase 4b-2

Answers

Like Four times B minus two?

A vat contains 21.12 L of cleaning solution. Kenyon pours the solution into 0.44-L containers.

How many containers of solution does he create?

Answers

I believe your answer is 48. I hope i was helpful

Answer:

48

Step-by-step explanation:

Add write the double fact you used to solve the problem 8+7

Answers

According to the calculator 8+7 is equal to 15 that is the answer
8+7 does equal 15
8+8 equals 16 and then just take one way to make seven plus eight to make 15

what is rounding and estimate 253,495 - 48,617=

Answers

Rounding up or down to the nearest whole number, 253,000-49,000=204,000

Answer:

205000

Step-by-step explanation:

Given :  253,495 - 48,617

To Find : What is rounding and estimate

Solution:

To Estimate a difference by rounding.

1 ) Round each term that will be subtracted

2 )Subtract the rounded numbers

Round off of 253,495 = 253000

Round off of 48,617 = 48000

So,  253000 - 48000 = 205000

Hence The rounding and estimate 253,495 - 48,617= 205000


Which of the following is a multiple of 4?



A. 620
B. 891
C. 734
D. 626

Answers

A. 620 is a multiple of 4
A because 155*4 = 620

4 girls and 4 boys run. Then 2 more children run. The same number of girls and boys run. How many of each run

Answers

Hey there!

If we start out with the same amount of boys and girls at the beginning, then we must add the same number to both groups to maintain that same amount. In this case, since there's already 4 in both groups, you would need to split 2 in half and add the remainder to both groups. 

2 ÷ 2 = 1
boys: 4 + 1 = 5
girls: 4 + 1 = 5

So, 5 girls and 5 boys are running. 

Hope this helped you out! :-)

divide 9x^2 square root by square root 18y^2

Answers

No answer for this problem
To start, first write out the expression, which would be √9x^2/√18y^2. Then, you simplify the radicals in the numerator and the denominator. Since 9 has a square root of 3 and x^2 has a square root of x, √9x^2 would simplify to 3x. Then, since 18 cannot be square rooted, you look for any ways to simplify it. Since √18 can be divided into √9 and √2, you find that it can be simplified into 3√2 since √9 simplifies to 3, so you leave the 3 outside while you keep the 2 inside. Now, you look at √y^2. This easily simplifies to y. Now your expression looks like this: 3x/3y√2. Then, since they both have a common factor of 3, you divide 3 from both sides. Now your expression looks like this: x/y√2. Since you have to rationalize the denominator (meaning no radicals in the denominator), you have to multiply your expression by √2/√2 in order to keep the expression equivalent and rationalized. Your final answer should be x√2/2y

what happens when the slope is doubled?

Answers

the y intercept will increase
I'm new but try looking it up on Google I'm not sure but maybe a

Write the equation of a line whose slope is -2 and passes through (-1,6). Write the answer in slope-intercept form.

Answers

y = mx + b
slope(m) = -2
(-1,6)....x = -1 and y = 6
now we sub and find b, the y int
6 = -2(-1) + b
6 = 2 + b
6 - 2 = b
4 = b

so ur equation is : y = -2x + 4 <==
We are given an (X, Y) in (-1, 6). We are also given a slope of -2.

Start by plugging all those values into the slope intercept equation.

6 = -2*-1 + B

Solve for B.

B = 4

Now, all you have to do is put it back into the equation again, this time not using the (X,Y) we had initially, but just the slope (-2) and our new "B" value (5).

The resulting equation looks like this:

y= -2x + 4

And that's the answer.

A whale dives at a speed of 3 feet per second. What is the change in position of the whale relative to where it started after 12 seconds?

Answers

Assuming the whale dived at a constant rate, the whale would be 36 feet below its starting point.
The whale will dive 36 feet assuming that the change is constant

A 25-foot streetlight casts a showdown 20feet long.If Melanie is standing at the end of the shadow casted by a 60. -foot tall building,how far is she from the building.

Answers

Melanie is 48 feet away from the building.
Heres my working

20% of 25=20 so 20% of 60=48.
Hope this helped ☺️

By setting up a proportion based on the similar triangles created by the streetlight and the building, we can find that Melanie is standing 48 feet away from the building.

To solve the problem of determining how far Melanie is standing from the building using the shadows, we can use similar triangles. We are given a 25-foot streetlight that casts a 20-foot shadow and a 60-foot tall building. The goal is to find the length of the shadow cast by the building, which will tell us how far Melanie is from the building.

By setting up a proportion based on the similar triangles, we have:

Height of the streetlight / Length of streetlight's shadow = Height of the building / Length of the building's shadow.25 feet / 20 feet = 60 feet / x feet.To find the value of x, we cross multiply:25x = 60 * 20.x = (60 * 20) / 25.x = 1200 / 25.x = 48 feet.

Therefore, Melanie is standing 48 feet away from the building.

When sales representatives for a pharmaceutical company drive out of town meetings that require an overnight stay, they receive $175 for lodging plus $0.70 per mile driven. How many miles did Joe drive if his company reimbursed him $329 for an overnight trip?
Set up an equation that can be used to solve the problem. Solve the equation and determine the desired value.

Answers

x=number of miles

$329=$175+$0.70x
329-175=.70x
154=.70x
154/.70=x
220miles =x

Joe was given  $329 for an overnight trip because he drove a distance of 220 miles

Word Problem

Given Data

Amount rep receive = $175Added amount per mile driven = $0.70Reimbursed/Total  = $329

The Mathematical relation for this scenario is

Total amount = Amount Receive+ 0.7*Distance driven

let the distance driven be x

Substituting our given data into the relation we have

329= 175+ 0.7*x

329-175 = 0.7x

154 = 0.7x

divide both sides by 0.7

x = 154/0.7

x = 220miles

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Tran drove his car at a constant speed of 55 mph.

Which is an equation for the distance Tran drove?

A. 55d=t

B. d=55t

C. t/d=55

D. 55/d=t

Plz help I think the answer is D am not sure.

Answers

The correct equation for the distance Tran drove at a constant speed of 55 mph is B. d = 55t.

In this equation:

"d" represents the distance in miles that Tran drove.

"t" represents the time in hours.

So, the distance "d" is equal to Tran's constant speed of 55 mph multiplied by the time "t" in hours, which is why the equation is written as d = 55t.

Option D is not the correct equation because it has the variables and constants in the wrong order.

The correct order is distance (d) on the left side of the equation, followed by the constant speed (55) and then the time (t) on the right side of the equation.

for such more question on distance

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What is the point slope form of the line with slope −14 that passes through the point (−2, 9) ?



a.y+2=−14(x−9)

b.y−9=−14(x+2)

c.y−2=−14(x+9)

d.y+9=−14(x−2)

Answers

I think the answer is D 

its not d its the +2 one

solve the equation by completing the square 5x(x+6)=-50

Answers

First lets distribute the 5x 
5x^2 + 30x = -50

Lets divide every term by 5 
x^2 + 6x = -10 

To complete the square we have to half the b value, which in this case is 6. Then square it. 
Half of 6 is 3, 3 squared is 9 

Add that to both sides of the equation 
x^2 + 6x + 9 = -1 

Find the binomial squared
(x+3)^2 (If you're wondering how i got that please comment) 

(x+3)^2 = -1 

Take the square root of the equation of both sides
(x+3) = +/- i
x = -3 +/- i
x = -3 - i
and 
x = -3 + i


Final answer:

To solve the equation 5x(x+6) = -50 by completing the square, we first isolate the quadratic term and then add the square of half the coefficient of x to both sides of the equation. Taking the square root gives us the solution x = -3 + i and x = -3 - i.

Explanation:

To solve the equation by completing the square, we first need to isolate the quadratic term on one side of the equation. So, let's distribute the 5x to get 5x^2 + 30x = -50. Next, we move the constant term to the other side and divide the equation throughout by the leading coefficient to get x^2 + 6x + 10 = 0.

Now, we can complete the square by adding the square of half the coefficient of x (which is 3) to both sides of the equation. This gives us (x + 3)^2 + 10 - 9 = 0, which simplifies to (x + 3)^2 + 1 = 0.

Taking the square root of both sides, we get x + 3 = ±√(-1), which means x = -3 ± i. Hence, the solution to the equation is x = -3 + i and x = -3 - i.

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what is 12 times 21 ? Plz hurry amanda

Answers

it is 252. hope I helped!
252 is the answer you would be looking for.

Given the area of a square is 225 square feet, what is the length of each side

Answers

The area of a square can be found by squaring one side.

Let's set the side as x feet.

x^2=225
x=square root of 225
x=15

The length of each side is 15 feet.

Hope this helps!
Your fortune is "Never throw away your shot."

Which number line correctly shows 2 2/5, 2 4/5, and 11/5?

Answers

The third one is your answer! Think of it as all have to have a denominator of 10 with a real number two. Hope this helps!

What are 5/6 and 7/9 written with their least common denominator (LCD)?

Answers

Final answer:

The least common denominator of 5/6 and 7/9 is 18. This results in equivalent fractions of 15/18 for 5/6 and 14/18 for 7/9.

Explanation:

To find the least common denominator (LCD) of the fractions 5/6 and 7/9, we first find the least common multiple (LCM) of the two denominators, 6 and 9. The LCM of 6 and 9 is 18.

Next, we convert each fraction to an equivalent fraction with the LCD as the new denominator. We multiply the numerator and denominator of 5/6 by 3 to get 15/18. Similarly, we multiply numerator and denominator of 7/9 by 2 to obtain 14/18.

So the fractions 5/6 and 7/9, when written with their LCD, are 15/18 and 14/18, respectively.

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Answers are appreciated! :D

Answers

[tex]d)[/tex]
it has the same 2 symmetry lines

The correct option is d. 8 oz. can of juice is most convenient to meet this requirement.

First, let's convert 240 milliliters to ounces because the answer choices are in ounces.

1 milliliter is approximately equal to 0.0338 ounces.

So, 240 milliliters is approximately \( 240 \times 0.0338 \) ounces, which is about 8.112 ounces.

Now, let's examine the options:

a. 5 oz. can of juice: Not enough juice. It's less than the required 8.112 ounces.

b. 4 oz. can of juice: Not enough juice. It's less than the required 8.112 ounces.

c. 12 oz. can of juice: More than enough juice. It's more than the required 8.112 ounces.

d. 8 oz. can of juice: Exactly the amount needed. It matches the required 8.112 ounces, which is the closest to the calculated amount of 8.112 ounces.

Therefore, the 8 oz. can of juice is the most convenient option to meet the requirement of having 240 milliliters of juice every 2 hours.

I really need help with this one...

Answers

well we have 101,102,103,104,105,106,107,108,109,110,201, etc. to 1000 so thats 90 right there. Then we have the multiples of ten excluding 100, 110, 210, etc.(we already "used" those) so we have 8*9-1 so we have 71 there thus it's D
From 100 to 999, how many digits have at least one zero?
From 100 to 999, how many number are there?

To answer the first question, let's look at all numbers in the 100's that have at least one zero.
100
101
102
103
104
105
106
107
108
109
110
120
130
140
150
160
170
180
190
There are 19 of them.
There are also 19 of them in each of the 200's, 300's 400's 500's, 600's, 700's, 800, and 900's.
That means there are 9 * 19 = 171

Now we need to answer the second question.
How many numbers are there from 100 to 999?
There are 900 numbers.

Now divide the first number by the second number:

171/900

MAXIMUM POINTS!!!!! PLEASE HELP
A popular cellular phone family plan provides 1,500 minutes. It charges $89.99/month for the first two lines and $9.99/month for every line after that. Unlimited text messages for all phone lines costs $30.00/month, and Internet costs $10.00/month per phone line. If a family with a $200 monthly budget buys this plan and signs up for unlimited text messaging and Internet on each phone line, how many cell phone lines can they afford? Use an inequality to solve this problem. Graph your solution on the number line and explain the meaning of your graph in a sentence.

Answers

They can only afford 2 lines

What is x for 7x plus 4 over 6 equals negative 4

Answers

Can you maybe take a picture of te problem kinda hard to depict wat ur asking

Which fraction is equivalent to [tex] \frac{30}{35} [/tex]?

Answers

6/7 because if you divide 30/35 by 5 it will leave at 6/7


What is 68√ in simplest radical form?

Answers

square root of 68 in radical form is 8.246211251235321 or[tex] \sqrt[2]{17} [/tex]

These are the round-trip distances that city buses traveled on different routes each month. Calculate the total distance, in miles, that buses travel each route in one year.
350 3/5 miles to Parkville
346 3/10 miles to Green City
134 1/5 miles to Evergreen Town
327 4/5 miles to Jefferson
413 7/10 miles to Clinton City

Answers

1572 3/5 should be the answer

What is the value of the expression? 3.2(2.3)−4.8 Enter your answer in the box as a decimal.

Answers

3.2(2.3) - 4.8

Simplify.

(3.2 × 2.3) - 4.8

Simplify.

(7.36) - 4.8

Simplify.

2.56

Hope this helped. :)

The answer is 2.56
3.2 (2.3)=7.36
7.36-4.8=2.56
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