A triangular pane of glass has a height of 42 inches and an area of 546 square inches. What is the length of the base of the pane?

Answers

Answer 1

Answer:

Base = 26 in

Step-by-step explanation:

Recall the formula for the area of a triangle as:

Area = (Base x Height) / 2

In our case, this formula converts into:

546 in^2 = Base x 42 in /2

multiply both sides by 2 to get rid of fractions:

1092 in^2 = Base x 42 in

divide both sides by "42 in" to isolate the Base completely

1092 in^2 / 42 in = Base

Therefore Base = 26 in


Related Questions

Eliza estimated she would spend $120 at the grocery store. She actually spent $95. What is the percent error?

Answers

Answer: 26.32% (rounded to the hundredths)

6. The net of a rectangular prism and its dimensions are shown in the diagram.
8 in.
8 in.
2 in
2 in.
12 in.
12 in
What is the total surface area of the rectangular prism in square inches?

Answers

Answer:

272 square inches

Step-by-step explanation:

Given

[tex]l = 8[/tex] --- length

[tex]w = 2[/tex] --- width

[tex]h = 12[/tex] ---- height

Required

Determine the total surface area (SA)

This is calculated using:

[tex]SA = 2 * (lw + wh + lh)[/tex]

[tex]SA = 2 * (8*2+2*12+8*12)[/tex]

[tex]SA = 2 * 136[/tex]

[tex]SA = 272[/tex]

The total surface area is 272 square inches

The hypotenuse of a right triangle measures 15 cm and one of its legs measures 4 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

[tex]15^2-4^2=225-16\\=209[/tex]

[tex]\sqrt{209}[/tex]≈14.9

Answer:

14.5

Step-by-step explanation:

15x15=225

4x4=16

225-16=209

The square root of 209 is 14.4568322948.

Which rounds to 14.5


In a class.
12 of the 18 boys can whistle
9 of the 12 girls can whistle.
Hassan says,
*A higher proportion of boys can whistle compared to girls."
Is he correct?
You must show your working.

Answers

Answer:

he is correct because 12 of the boys can whistle and only 9 of the girls can whistle and 9 is a smaller number than 12 so he is correct

He is correct , 12 out of 18 is more than the girls which is 9 out of 12

Which linear inequality represents the solution set graphed?

A. y≥4x+5
B. y>4x-5
C. y≥4x-5
D. y>-4x-5

Answers

The linear inequality (B) y>4x-5 represents the given solution set graph.

What is linear equality?A linear inequality in mathematics is an inequality involving a linear function. One of the symbols for inequality is found in linear inequality. It displays non-equal data in graph style. The boundary line that separates the coordinate plane into two halves by a linear inequality represents the solutions to the inequality in one half. For > and, the border line is solid, and for and, it is dashed. Typically, the half-plane that resolves the inequality is shaded.

So, the linear inequality that represents the graph:

Graph the inequation as follows:

(A) y≥4x+5 (Refer to attached Graph 1)(B) y>4x-5 (Refer to attached graph 2)(C) y>-4x-5 (Refer to attached graph 3)

Now, we can easily notice that graph 2 which is of equation (B) y>4x-5 matches the given graph.

Therefore, the linear inequality (B) y>4x-5 represents the given solution set graph.

Know more about linear equality here:

https://brainly.com/question/28964520

#SPJ1

The correct question is given below;
Which linear inequality represents the solution set graphed?

A. y≥4x+5

B. y>4x-5

C. y>-4x-5

1)
Ahmad does a statistical experiment.
He throws a dice 600 times.
He scores one, 200 times.
Is the dice fair? Explain your answer

Answers

Answer:

The dice is not fair.

Step-by-step explanation:

600 times

and

6 sides to said dice

600 / 6 = 100100 is NOT 200

100≠(Not equal sign)200

----------------------------------------------

I would recommend writing/typing all of this as your answer.

Hope I helped!!

6=100 they ain’t that far apart

what is the expression below?
26 + 67 + 3x2³

Answers

Answer:

24x+93

That's the answer to the equation that was what you were asking for right?

A parallelogram has vertices (5,0), (3, -3), (-4, -3) and (-2, 0) The
diagonals of the parallelogram intersect at their midpoints. A. What are the coordinates of the
intersection of their diagonals? Justify the answer algebraically.

Answers

Answer:

(0.5 , -1.5)

Step-by-step explanation:

intersection of their diagonals (E): right at the mid-point of segment AC or BD

A (5 , 0)  and C (-4 , -3): E (x , y)

x = (5 + -4 ) / 2 = 0.5

y = (0 + -3 ) / 2 = - 1.5

E ( 0.5 , - 1.5)

check with BD: x = (3 + -2) / 2 = 0.5        y = (-3 + 0) / 2 = - 1.5

on the Mastery Assessment
, 87% of the students in the 7th grade
got a passing grade. If there are 48 students in the 7th grade, how
many of students got a passing grade?

Answers

Answer:

41 students get a passing score.

Step-by-step explanation:

48*0.87 = 41.76

You remove the 0.76 because you can not have a percent of a student.

log x - log 6 = 2 log 4

Answers

log(x) - log(6) = 2 log(4)

Condense the left side, using the property log(a) - log(b) = log(a/b) (if b ≠ 0):

log(x / 6) = 2 log(4)

Rewrite the right side, using the property n log(a) = log(aⁿ ):

log(x / 6) = log(4²)

log(x / 6) = log(16)

Cancel the logarithms (i.e. take the exponential of both sides):

exp(log(x / 6)) = exp(log(16))

x / 6 = 16

Solve for x :

x = 6 × 16

x = 96

Rick owns a farm, which produces many different crops, including corn. The table shows the relationship between the number of acres, a, and the bushels of corn, c, the farm produces.
Which equation models the relationship between the independent and dependent variables?

A) a = 45c B) c = 45a C) a = 45 + c D) c = 45 + a

Answers

Answer:

c=45a

Step-by-step explanation:

for the first one it shows 45x1=45. second shows 45x2=90. thats the patter.

Which expression represents the factored form of 6x+2-13x-5?

Answers

Step-by-step explanation:

Hɪ!

ʏᴏᴜʀ ᴀɴsᴡᴇʀ ɪs ɪɴ ᴛʜᴇ ᴀᴛᴛᴀᴄʜᴍᴇɴᴛ...

Answer:

(2x - 5)(3x + 1)

Step-by-step explanation:

6x^2 + 2x - 15x - 5

2x(3x + 1) -5(3x + 1)

(2x -5)(3x + 1)

Anna's Savings Dollars Saved 4 8 Dollars Spent 6 12 18 24 Dollars Earned 10 30 40 Anna walks dogs to earn money. She saves $4 for every $10 she earns. Use your knowledge of ratios to determine whether each statement is TRUE for the missing values on the table. Anna saves $10 for every $20 she earns. Anna saves $12 for every $30 she earns. Anna saves $18 for every $40 she earns. The ratio of the amount of money Anna spends (in dollars) to the amount of money she earns is 3 to

Answers

Answer: is b peoples i repeat people who dont

know nothing its b b b b bb b b b b b b b b

Step-by-step explanation:

PLEASE HELP!! URGENT!

Answers

I think is B but I am not 100% sure goodluck if I am wrong I am sorry :(

help meeee i will give brainliest :)

Answers

Step-by-step explanation:

(-7+1)/(5-1)=-6/4= -3/2 is the slope

answer is C

Answer:

C

Step-by-step explanation:

The formula for slope is rise/run

Rise is the difference between the y coordinates

Run is the difference between the x coordinates

To find the rise and run:

ex.

(a, b), (c, d)

rise:

d-b

run:

c-a

Slope:

d-b/c-a

In this situation:

rise:

-7-(-1)

run:

5-1

Slope:

-7-(-1)/5-1

= -6/4

=-3/2

So the answer is C

a triangle with one right angle and no
congruent sides

Answers

Answer:

That triangle is called a Scalene Triangle

Step-by-step explanation:

Have a great day!

√43 is a number between
6 and 7
7 and 8
21 and 22
84 and 88

Answers

6 and 7

the square root of 43 is 6.557

May anyone please help me with this math question

Answers

Answer:

x = 42

Step-by-step explanation:

You can set up an equation to solve for the missing variable. Divide 2/7 on both sides.

2/7(x) = 12

x = 42

9min:600s in its simplest form​

Answers

Answer:

9/10

Step-by-step explanation:

9m = 540s

540/60 = 9

600/60 = 10

Plz mark brainliest thanks

I need help bad i don’t understand this so plz help

Answers

Answer:

B :  y axis is parallel

     x axis is perpendicular

  4:     (4,8) (4,10)

5: (4,25)

Step-by-step explanation:

Hope this helps, and if you can please mark me Brainiest.

Help me please what is 11/5 you can write it in numerical numbers lile this 1,2 or whole number fractions like this 1 1/2​

Answers

Answer:

11/5 = 2 1/5

11/5 = 2.2

Step-by-step explanation:

find the area plz and thank u

Answers

Answer:

A = 173.82

Step-by-step explanation:

[tex]A = 2 (1 + \sqrt{2}) a^{2}[/tex]

a = 6

substitute 6 for a

A = 2 (1 + [tex]\sqrt{2}[/tex]) [tex]6^{2}[/tex]

solve:

A = 2 (1 + [tex]\sqrt{2}[/tex]) 36

A = 173.82

Answer:

Around 173.8 km (rounded to the nearest tenth of a km

Step-by-step explanation:

The area of an octagon can be found using the expression:

A=2(1+sqrt of 2)a^2

plug your side of 6 in to create the following equation:

A=2(1+sqrt of 2)(6^2)

Solve for A:

A= (2 + 2*sqrt of 2)(36) I multiplied 6 by 6 to get 36 and used distributive property on the other section.

A=72+72sqrt of 2

plug that in a calculator and you get around 173.8 km

Does someone know the answer to this?

Answers

Answer:

both sides are congruent meaning it is a 45/45 triangle. that makes y=45. you can then use sin(45)=x/12 which when solved is 8.49 approximately

Evaluate the expression when a = 10, b = 9, and c =4

a+9c

Answers

Answer

i think the answer is 46 because

10+9x4=46

Find the number of real-number solutions of the equation.
x2 + 10 = 2

A. two solutions
B. one solution
C. no solutions
D. infinitely many solutions

Answers

Answer: A

Step-by-step explanation:  

Take the root of both sides and solve.

Answer:

A

Step-by-step explanation:

It just is

Aaron rolls a die 40 times. On 25 of those rolls, he has a 3. Michelle rolls a die 80 times. On 40 of those rolls, she has a 6. Which statement is TRUE about the experimental and theoretical probabilities?
A) The theoretical probability for rolling a 3 is the same as for rolling a 6.
B) The theoretical probability for rolling a 3 is greater than for rolling a 6.
C) The experimental probability for Aaron's tries is the same as Michelle's tries.
D) The experimental probability for Aaron's tries is less than the experimental probability for Michelle's tries.

Answers

Answer:

D.)

Step-by-step explanation:

because aron's tries too many times.

the answer is

= A

if you read cafully (dont  acually  read carefully )

the answer is A

5. What's the fraction 18/24 reduced to its lowest terms?
O A. 18/24
ОВ. У.
O c. %12
D. 2418

Answers

Answer:

The answer is 3/4, i don't know why that's not a choice....

Step-by-step explanation:

What is the solution to the system of equations graphed below?

Answers

it would be letter B.(3,-4)


What’s the value of X ? PLS HELP )):

Answers

Answer:

By angle sum property,

56 + 92 = 148

180 - 148 = 32

linear pair

so ,  180 - 32

= 148

Hope it helps

Please mark me as the brainliest

Thank you

Help me all the stuff on my profile are linked to this one please help

Answers

Answer:

17. false

18. true

19.false

20. can not be determined

21.false

22. y=-1/2x+4

23. y=3/4x+1/2

Step-by-step explanation:

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