A triangular pane of glass has a height of 48 inches and an area of 576 square inches. What is the length of the base of the pane?

URGENT

Answers

Answer 1

Answer:

12

Step-by-step explanation:

Answer 2

Solution:

We know that:

Area of triangular pane = 576 in²Height of triangular pane = 48 inArea of triangle formula = 1/2 x Base x Altitude

Substituting the height and the area of the pane in the formula

Area of triangle = 1/2 x Base x Altitude = 576 in²1/2 x Base x 48 = 576 in²

Simplifying the LHS:

1/2 x Base x 48 = 576 in²Base x 24 = 576 in²

Dividing 24 both sides

(Base x 24)/24 = 576/24Base = 576/24 = 24 in

Thus, the measure of the base is 24 inches.


Related Questions

Tom walks 3. 15 km to the park. He then walks a further 350 m to the shop. How many km has Tom walked in total?

Answers

Answer:

Step-by-step explanation:

We have to convert m to km and we have to add to find the total distance walked.

1000m = 1 km

350 m = 350 ÷ 1000 = 0.35 km

Total distance = 3.15 + 0.35

                        = 3.50 km

what is the length of the hypotenuse? If necessary, round to the nearest tenth

Answers

Answer:

Please post the question! or at least the lengths of the triangle, so that I can help you!

Step-by-step explanation:

3(4+2)=30
pls help me

Answers

Answer:

Isn't it 18?

Step-by-step explanation:

Because you need to add 4 and 2 then multiply it with 3?

1.) if gasoline costs $2.50 per gallon and your car or plane drives 25 miles per gallon, then how many gallons of gasoline will you need for your travels? how much would it cost

Answers

Answer:

$581.90

Step-by-step explanation:

5819/25 = 232.76

232.76 x $2.50 = $581.90

If g(x) = x2 - 4, find g(5).
06
O 14
O 21
0 29

Answers

Answer:

g(5)=6

Step-by-step explanation:

g(5)=(5)(2)-4

g(5)=10-4

g(5)=6

please help me to find the easy math problem

Answers

Answer:

a. = 30

c. = 29

Step-by-step explanation:

PLS HELP!!

Joshua and Isabella are having a snowball fight. Joshua has a snowball, shaped as a sphere, with a radius of 6 cm. Isabella also has a spherical snowball that is 6 cm across the center of the sphere. Find the volume of each snowball (use 3.14 for pi)

A. Find the volumes of each snowball.

B. The volume of Joshua’s snowball is _______ times larger than the volume of Isabella’s snowball.

Answers

Answer:

Its 8

Step-by-step explanation:

Solve the inequality b - 12 > -3
What are the solutions?

Answers

Answer:

b>9

Step-by-step explanation:

Answer:

b > 9

Step-by-step explanation:

Inequalities represent the value of a variable in relation to other numbers.

Solving the Inequality

The properties of equality state that if you add or subtract a number from both sides, the statement remains true. This means that we can isolate the variable by using the properties of equality.

To isolate the variable, add 12 to both sidesThis gives the inequality b > 9

Understanding the Answer

The answer to the inequality is b > 9. This means that the variable must be greater than 9. So, values such as 10 or 100 could all be solutions. However, remember that 9 itself is not a solution. The inequality only accounts for values greater than 9, not equal to.

(-15) ÷ (-1.25) ● 4 ½ - 120 HELP

Answers

Answer: I believe the answer you're looking for is -66.

Step-by-step explanation:

(-15) / (-1.25) = 12.

12 x 4 1/2 = 54

54 - 120 = -66.

Hope this helps!

Answer:

( -66 )

Step-by-step explanation:

[tex]( - 15) \div ( - 1.25) \: . \: 4 \frac{1}{2} - 120 \\ = \frac{ (- 15)}{( - 1.25)} \: . \: 4 \frac{1}{2} - 120 \\ = \frac{( - 15) \times 100}{( - 1.25) \times 100} \: . \: 4 \frac{1}{2} - 120 \\ = \frac{ - 1500}{ - 125} \: . \: 4 \frac{1}{2} - 120 \\ = 12 \: . \: \frac{9}{2} - 120 \\ = 6 \: . \: 9 - 120 \\ = 54 - 120 \\ = ( - 66) \\ [/tex]

what's better 27 out of 32 or 19 out of 21 and why

Answers

27 out of 32

Because the higher the score the less the points is gonna worth. So if you get one wrong, it wouldn’t hurt your score that much

Answer:

19/21 is better.

Step-by-step explanation:

To find which is better, you need to divide the numerator by the denominator.

27 divided by 32 is equal to 0.84375

19 divided by 21 is equal to 0.9

0.9 is greater than 0.84375, so 19/21 is better.

simplify the equation x= -4 plus or minus the square root of -16 all over 2

Answers

x = -2+2i
or
x = -2-2i

Answer:

[tex]x = \frac{ - 4 \frac{ + }{} \sqrt{ - 16} }{2} \\ \\ x = \frac{ - 4}{2} \frac{ + }{} \frac{ \sqrt{ - 16} }{2} \\ \\ x = \frac{ - 4}{2} \frac{ + }{} \frac{ \sqrt{16} \sqrt{ - 1} }{2} \\ \\ x = \frac{ - 4}{2} \frac{ + }{} \frac{4i}{2} \\ \\ x = - 2 \frac{ + }{} 2i[/tex]

x = – 2 + 2i , x = – 2 – 2i

An easy way to simplify fractions

Answers

Write down the factors for the numerator and the denominator
Determine the largest factor that is common between the two
Divide the numerator and denominator by the greatest common factor
Write down the reduced fraction
Example:

Reduce the fraction



Step 1:

Factors for 8 = 1, 2, 4, 8
Factors for 24 = 1, 2, 3, 4, 6, 8, 12, 24

Step 2:

The greatest common factor is 8

Step 3:

Divide both the numerator and denominator by 8

8 divided by 8 = 1
24 divided by 8 = 3

Step 4:

The answer is

More examples:

hello people ~
factorise: y² + 4y - 21​

Answers

Answer:

[tex](y+7)(y-3)[/tex]

Step-by-step explanation:

To factorize [tex]y^2+4y-21[/tex]

[tex]\textsf{for} \ ax^2+bx+c \ \textsf{find} \ v, w \ \textsf{such that} \ v \cdot w=a \cdot c \ \textsf{and} \ v+w=b\\ \textsf{ and group into} \ (ax^2+vx)+(wx+c)[/tex]

[tex]a \cdot c=1 \cdot -21=-21[/tex]

[tex]b=4[/tex]

Therefore, the 2 numbers that multiply together to give -21 and add together to give 4 are:  7 and -3

[tex]\implies y^2+7y-3y-21[/tex]

[tex]\implies (y^2+7y)+(-3y-21)[/tex]

Factor the parentheses:

[tex]\implies y(y+7)-3(y+7)[/tex]

Factor out the common term [tex](y+7)[/tex]:

[tex]\implies (y+7)(y-3)[/tex]

Can you help me?????????????????

Answers

Answer:  #1.  104 % increase  #2. 15%   #3. 1%increase  #4 150%  .......

if you want the rest just tell me kk

Step-by-step explanation:

you have to minus each number like for example  92 and 45   and divide what ever  you got from 92 and 45 and its 47 so divide 47 from 45 and youll get 104 but have to round.

I don’t understand what to do

Answers

Answer:  14cm

Step-by-step explanation:

The diameter of a circle is twice the radius.

Therefore, the diameter = 2*7 cm = 14cm

Answer:

14 cm

r=7

d=2r

d=2×7

d=14

Step-by-step explanation:

please mark me as brainlest

Write a Pythagorean triplet whose smallest member is 8
FAST

Answers

Answer:

Step-by-step explanation:

2m=8

m=4

m²+1=16+1=17

m²-1=16-1=15

Therefore the Pythagorean triplets are 8,15 and 17. Here 8 is the smallest member.

Answer:  8, 15, 17

This is something you get through trial and error, or you could have memorized this particular triple.

Note how 8^2+15^2 = 17^2

There are 15 ice cream flavors and 3 different cone options. How many different 2 scoop cones can you make? (order doesn't matter and flavors can be repeated ie; chocolate on chocolate counts)

Answers

There are 675 different combinations.

How many combinations are there?

The number of combinations is given by the product between the numbers of options.

For the first scoop, we have 15 possible options.For the second scoop, we also have 15 possible options.For the cone, we have 3 options.

So the total number of different combinations is just given by:

C = 15*15*3 = 675

There are 675 different combinations.

If you want to learn more about counting, you can read:

https://brainly.com/question/25870256

Follow the steps to solve this equation.

3(2x + 6) – 4x = 2(5x – 2) + 6

1. Use the distributive property: 6x + 18 – 4x = 10x – 4 + 6

2. Combine like terms: 2x + 18 = 10x + 2

3. Use the subtraction property of equality: 18 = 8x + 2

4. Use the subtraction property of equality: 16 = 8x

5. Use the division property of equality:


= x

Answers

Answer:

2

Step-by-step explanation:

Answer: B or 2

Step-by-step explanation:

Need help on algebra 1
Slopes step by step

Answers

Answer:

1 is y=-1/3x. 3 is y=-3/2x. 5 is y=5/3x

Step-by-step explanation:

Simply count the vertical lengths. Meaning count up or down how ever many. That is your top number. Then count your horizontal lengths, meaning left or right, this your bottom number of the slope. So if point A is at (-1,-1) in example 1, then count down 1, and right 3 spaces. Because you go down, the slope is negative, and you went down 1, so the top number is 1, you went right 3 units, so the bottom number is 3.

what is the decimal for 6/7

Answers

Answer:

the answer to your question is 0.857


Help plsss. Solve using ratios and please show your work!!! I’ll give brainlist to the first person who is right!!!!!

Answers

Answer:

1) 12 cm
2) 20 cm

Step-by-step explanation:

Those are my guess but it is simple math just take the cm of the flag for the length and width and multiple the cm by the 4 to get the answer hope it helps

If < 5 = 35 what is m < 1

Answers

Answer:

m < 1 = 35

Step-by-step explanation:

this is because the lines are parallel therefore m<5=m<1

In a class of 30 children there are g , girls what fraction of the class are girls

Answers

The fraction would be g/30 or x/30

A student group determines the profit, in dollars, from a car wash using the function
f(x) =8(x-2) -20, where x represents the number of cars washed. What is the profit, in dollars, from washing 30 cars?
$?

Answers

Answer:

$ 204

Step-by-step explanation:

f(x)=8(x-2)

if i did this right then you would substitute 30 in for x------------8 (30-2) - 20

next you would multiply 8 times 30 and 8 times -2 and you would get 240-16-20

then you would subtract and get....................... 204

hope this helps if not then pls know that i tried

Math GR08 ist NW DCA 20-21
18 of 21
47 39 /0130 00
Mr. Jones is using a rope that is 8 feet long to stabilize the tree he planted in his
garden. The rope is tied down with a stake that is placed 6 feet away from the base
of the tree. A right angle is created with the rope and the base of the tree. Using the
diagram below, how far up the tree did Mr. Jones tie the rope? Round your answer to
the nearest tenth.
8 ft
6 ft
5.3 feet
6.9 feet
8.3 feet
Type here to search
EF
O
AD10/12/20

Answers

Answer:

Step-by-step explanation:

To get  how far up the tree that Mr. Jones tied the rope, we will use the Pythagoras theorem since a right angle is created with the rope and the base of the tree.

The length of the rope will be the hypotenuse

The distance up the tree and away from the base will be the opposite and adjacent.

Given

length of the rope = 8feet

Distance away from the base of the tree = 6ft

According to Pythagoras;

hyp² = opp²+adj²

8² = opp²+6²

opp² = 8²-6²

opp² = 64-36

opp² = 28

opp = 5.3 feet

Hence the Mr Jones tied the rope 5.3feet above the tree. Option C is correct

Multiply: (x+4)(x+5)Simplify and write your answer in Standard Form.

Answers

Answer:

[tex](x + 4)(x + 5)[/tex]

[tex]x \times x + 5x + 4x + 4 \times 5[/tex]

[tex]x {}^{2} + 5x + 4x + 20[/tex]

[tex]x {}^{2} + 9x + 20[/tex]

The standard form of the expression (x+4)(x+5) is  x²+9x+20.

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is (x+4)(x+5)

x is the variable in the given expression.

We have to multiply and simplify the expression.

Let split the expression as below.

x(x+5)+4(x+5)

Apply the distributive property

x²+5x+4x+20

Combine the like terms

x²+9x+20

x²+9x+20 is the standard form of the expression (x+4)(x+5)

Hence, the standard form of the expression (x+4)(x+5) is  x²+9x+20.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ2

1
Write an expression that is equivalent to 1/2a-4

Answers

Answer:

2/4a-4

Step-by-step explanation:

dividing 2/4a-4 is =1/2a-4

Describe the transformation

Answers

A reflection over the line y=-1

If you look at the line y=-1 ( a horizontal line) you can see that the shape has been fully reflected into the other side

PLEASE HELP! 30 POINTS AND WILL MARK BRAINLIEST ALONG WITH A THANKS AND RATE 5.
A pizza place is having a special. If you order a large pizza for a regular price $17, you can order any number of additional pizzas for $8.50 each. Use the recursive rule f(1)=17 and f(n)=f(n-1)+8.5 for each whole number n greater than 1.

Answers

Answer:

Step-by-step explanation:

f(1)=17

f(n)=f(n-1)+8.5

n           f(n)=f(n-1)+8.5                                                                          f(n)

1             f(1)=17                                                                                       17

2           f(2)=f(1)+8.5 =17+8.5=25.5                                                    25.5

3            f(3)=f(3-1)+8.25=f(2)+8.25=25.50+8.5=34                            34

4            f(4)=f(3)+8.25 =34+8.5=42.5                                                42.5

           

     

What is the sum of frothy-three thousand and twenty-one hundreds?

Answers

Answer:

My answer would be Frothy-five thousand and one hundred (45,100).

Step-by-step explanation:

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