A triangle with an area of 370 square inches
has a height that is 6 less than 8 times its
base. Find the base and height, in inches, of
the triangle.

Base=
Height=

Answers

Answer 1

Answer:

Step-by-step explanation:

Area of triangle = 1/2 (base × height)

Given, area of a triangle is 192 sq ins. and its height is 8 ins less than its base.

Then, let base = b, height = b-8

Hence, 1/2 (b)*(b-8) = 192

Above equation; “times 2”,

(b)*(b-8) = 384

b^2 - 8b - 384 = 0

(b+16)(b-24)=0


Related Questions

23 in. The perimeter of this quadrilateral is 100 in. What is the length of the side not given? 27 In. 32 in.​

Answers

Answer:

Solution:

The formula to find the perimeter of the quadrilateral = sum of the length of all the four sides.

Here the lengths of all the four sides are 5 cm, 7 cm, 9 cm and 11 cm.

Therefore, perimeter of quadrilateral = 5 cm + 7 cm + 9 cm + 11 cm

                                                     = 32 cm

A photographer made a 5-inch by 8-inch print of a photo. He then made a 10-inch by 16-inch print of the same photo.

Which scale factor was used to create the larger photo from the smaller photo?

Answers

The photographer just doubled the size of the 5 x 8 in photo

OMG I NEED HELP BADLY RN

In which quadrant does the point (-2 , -2) lie?

A.
Quadrant I

B.
Quadrant II

C.
Quadrant IV

D.
Quadrant III

Answers

Answer:

D) Quadrant 3

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

D.

Quadrant III

Step-by-step explanation:

Quadrant III= Both co-ordinates negative.

What is the difference?
Х
1
x?+3x+2 (x+ 2)(x+1)
(x+2)(x+1)
X-1
6x+4
-1
4x+2
1
X+ 2
x-1
x² + 3x+2
2

Answers

Step-by-step explanation:

your correct answer is the last one (x-1)/x²+3x+2.

the second equation lcm will be x²+3x+2 if you expand it .

hope this helps you.

The difference of the Expression is (x -1) / (x² + 3x + 2).

What is Expression?

In mathematics, an expression is a phrase that has at least two numbers or variables and at least one math operation. Addition, subtraction, multiplication, or division are all examples of math operations. An expression's structure is as follows:

(Number/variable, Math Operator, Number/variable) is an expression.

We have,

x/ (x² + 3x + 2) - 1/ (x+ 2)(x+ 1)

Now, simplifying the expression as

x/ (x² + 3x + 2) - 1/ (x+ 2)(x+ 1)

= x/ (x² + 2x + x + 2) - 1/ (x+ 2)(x+ 1)

= x/ x(x+ 2) + (x+ 2) - 1/ (x+ 2)(x+ 1)

= x/ (x+2) (x+1) - 1/ (x+ 2)(x+ 1)

= (x-1) / (x+ 2)(x+ 1)

= (x -1) / (x² + 3x + 2)

Thus, the difference of the Expression is (x -1) / (x² + 3x + 2).

Learn more about Expression here:

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I NEED A 100% ACCURATE ANSWER FOR THIS ASAP NO LINKS !!!
Solve the following: 7y−20=3y+12
1: y= 3.2
2: y=8
2: y= -8
4: y= 28

Answers

It is b. Y=8. Steps are in picture.

Answer:

I think its y=8

Step-by-step explanation:

7y-20=3y+12

7y-3y=12+20

4y=32

y=32/4

y=8

I NEED A 100% ACCURATE RIGHT ANSWER ASAP NO LINKS !!!

Answers

it's 8=8 meaning it is always true, and infinity.

Answer: all real num.

Step-by-step explanation:

4(a+2) = 8+4a

4a+8 = 8+4a

It can be all real number.

If your goal is to retire with at least $1 million, how long would it take—and how much would you need to invest each month—if your anticipated rate of return is 10%? At what age could you retire if you started investing at age 25?

Answers

Answer:

There is no simple one size fits all answer to this question, because I need a few more variables to solve it. Or you can go to bankrate.com and use the millionaire calculator and figure it out on your own. I put a sample in the photo.

Hope this helps!;)

Step-by-step explanation:

1. Your age= 25

2. Target age=? obviously you don't want to be too old to spend it.

3. Current investments=? how much are you starting with 0 or more?

4. Savings per month=? only you know how much you can set aside out of your income

5. Expected rate of return=10%

6. Expected inflation rate= 2.9% (last I heard 2021)

if sin2x,1,cos2x are in gp ,then x =​

Answers

Answer:

Man I can't express how much joy I have rn. thanks man!

Which of the numbers below is greater than zero? Select all that apply.
A)0.8
B)4.5
C)14
D)−2.25
E)−0.5

Answers

your answer is B) 4.5 and C) 14

Please help what is 399/20 simplified

Answers

Answer:

19 19/20 in fraction

19.95 as a decimal

Step-by-step explanation:

Answer:

19 and 19/20

Step-by-step explanation:

The bar in a fraction stands for dividing

so you divide 399 by 20 which is 19 and 19 remainder

you turn the remainder into a fraction and the number into a whole number

Bailey wants to find 0.4 × 0.9. Part A Which of the following grids models the problem? A. Hundred grid. Four grid blocks shaded horizontally and nine grid blocks shaded vertically. The intersection is one grid block. B. Hundred grid. Four columns shaded vertically and nine rows shaded horizontally. The intersection is 36 grid blocks. C. Hundred grid. Six columns shaded vertically and one row shaded horizontally. The intersection is 6 grid blocks. D. Hundred grid. Eight columns shaded vertically and three rows shaded horizontally. The intersection is 24 grid blocks.

Answers

Answer:

B

Step-by-step explanation:

It seems like the answer would be B since 0.4 x 0.9 = 0.36 and the intersection for answer choice B is 36 grid blocks.

The correct equation of the given grids models the problem is,

⇒ Hundred grid. Four columns shaded vertically and nine rows shaded horizontally. The intersection is 36 grid blocks.

Option B is true.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

Bailey wants to find the value of 0.4 × 0.9.

Now,

After multiplication, we get;

⇒ 0.4 × 0.9

⇒ 0.36

Hence, By all the options;

The correct equation of the given grids models the problem is,

⇒ Hundred grid. Four columns shaded vertically and nine rows shaded horizontally. The intersection is 36 grid blocks.

Option B is true.

Learn more about the multiplication visit:

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The system shown has
solution(s).
y= 2x+1
X
2y-x = 6
No
one
Infinite

Answers

9514 1404 393

Answer:

  one solution; (x, y) = (4/3, 11/3)

Step-by-step explanation:

The two lines described by the equations have different slopes, so there will be exactly one solution to the system of equations.

__

The slope of the line will be the coefficient of x when you solve for y. In the first equation, the slope is 2. In the second equation, you can solve for y by adding x, and dividing by 2. Then the slope of that line is found to be 1/2.

Lines with different slopes must intersect somewhere. That point of intersection is the (one) solution to the system of equations.

1. Brady had 432 Legos. Owen has
three times as many. How many Legos
does Owen have?
How
many do
they have all together?

Answers

Total legos = Brady’s legos + Owen’s legos. Brady has 432 legos and Owen has three times that amount. This means Owen has 432 X 3 legos: this will give you the answer that Owen has 1296 legos. To find the number of legos they have all together, use the equation in the beginning (Brady’s legos + owens legos). 432 + 1296 = 1728(the total number of legos they have altogether)
They have 1296 legos all together

what is 10/8 divided by 1/4

Answers

Answer:

5

Step-by-step explanation:

i think the answer is 5

welp. this is 9marks question​

Answers

Answer:

4

Step-by-step

5. Write a real-world problem that can be represented by the
expression 21 + (12 x 2).

Answers

Step-by-step explanation:

Anna Bought 3 Toys each worth 7$. after the purchase, it is announced that the price of the toys has risen to 12$, and Anna decides to Buy 2 More toys before the price rises again. in total, how much did Anna Spend?

A 98% confidence interval for a proportion is found to be (0.62, 0.68).

What is
the sample proportion?

O A. 0.66

OB. 0.64

O C. 0.65

O D. 0.68

Answers

Answer:

I think the answer is C ,The sample proportion is the fraction of samples which were successes, so. (1) For large , has an approximately normal distribution.

Step-by-step explanation:

If the queston true please votes 5 stars and mark as brainliest for me.Thank you so much

Given that a 98% confidence interval for a proportion is found to be (0.62, 0.68). The sample proportion will be 0.65.

What is confidence interval for population proportion?

Formula to calculate the confidence interval for population proportion p :-

[tex]p' - Z_{\alpha }\sqrt{\frac{p'q'}{n} } < p < p' + Z_{\alpha }\sqrt{\frac{p'q'}{n} }[/tex]

Where,

p is the population proportion.

p' is the sample proportion.

n is the size of the sample.

[tex]Z_{\alpha }[/tex] is the desired degree of confidence.

Given that a 98% confidence interval for a proportion p is found to be (0.62, 0.68).

[tex]p' - Z_{\alpha }\sqrt{\frac{p'q'}{n} } = 0.62\\\\p' + Z_{\alpha }\sqrt{\frac{p'q'}{n} } = 0.68[/tex]

Adding the two equations,

2p' = 1.3

p' = 0.65

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Help if so omg ur amazing

Answers

the answer is 12/35
(You multiple both of the fractions)

Answer:

12/35 of the road

Step-by-step explanation:

To find 2/5 of 6/7 you simply multiple and simplify if possible.

2/5 * 6/7 = (2*6)/(5*7) = 12/35

The Davis's drank 9 gal 1 qt of milk last month and 7 gal 2 qt this month. How much milk is that?

Answers

9 gallons + 7 gallons = 16 gallons

1 qt + 2qt = 3 qts

Total = 16 gallons and 3 qts.

If there are 6 $5 bills how many 10$bills are there?

Answers

Answer:

3

Step-by-step explanation:

6*5=30

30/10=3

Answer:

3

Step-by-step explanation:

6 * 5 = 30

Then, 30 / 10 = 3

5.) I somehow got $50 to buy hair dye, so I got 4 bottles of hair dye I had 5 dollars left, how
much was the hair dye?

Answers

Answer:

10

Step-by-step explanation:

is the answer

mark me as brainlest

Answer:

The hair dye was $11.25

Step-by-step explanation:

4x+5=50

4x=45

x=11.25

PLS HELO THANK YOUUUUU

Answers

Answer:

divide 500 by 125.

You get 4x = 568

Answer is 142

Happy Learning

Answer:

142

Step-by-step explanation:

45 to 60 using percent of change unit.

Answers

Answer:

A change from 45 to 60 represents a positive change (increase) of 33.3333333333%

Step-by-step explanation:

Percent change = 60 - 45

45

× 100 = 33.333333333333 % (increase)

Answer:

33.3% increase

Step-by-step explanation:

Percent of Change =

[tex] \frac{change}{original} [/tex]

The change would be 15:

60 - 45 = 15

So the percent of change would be:

15/45 = 1/3 = 33.3% increase

Hope this helps! Brainliest would be appreciated!

y-3(2y-7)=76 quick and with steps

Answers

Answer:

y = -11.

Step-by-step explanation:

Y-3(2y-7)=76

Y-6y+21=76

-5y+21=76

-5y=55

y=-11.

Answer:

Step-by-step explanation:

⇔y-6y+21=76⇔-5y+21=76⇔-5y = 76 -21⇔-5y=55 ⇔y= 55:(-5) ⇔y= -11

10.com
Leg, width
and height

Answers

Answer:

420 cm^3

Step-by-step explanation:

1. The volume of a rectangular prism is [tex]l * w * h[/tex], where l = length, w = width, and h = height.

2. (Solving)

[tex]6*7*10[/tex] [tex]42*10[/tex] [tex]420[/tex] 420 cm^3

Therefore, the volume is 420 cm^3.

Janice is a travel agent. She receives a 7% commission based on the value of the trips she
books. Today she spent 5 hours arranging a $6,300 cruise for a couple.

Answers

Based on her commission percentage, Janice was able to earn $441 in commission which translates to $88.20 per hour

The commission that Janice earned is found by:

= Commission percentage x Value of trip booked

= 7% x 6,300

= $441

The amount she earned per hour is therefore:

= Commission earned / Number of hours worked

= 441 / 5

= $88.20

In conclusion, Janice earned $441 in commission and earned $88.20 per hour.

Find out more at https://brainly.com/question/14473634.

The rest of the question is:

a. How much commission did she earn?

b. What was her mean hourly pay for the work she did?

Can someone help me understand this and give me the answer?

Answers

the answer is 5gh it is regular subtraction but with the letters next to them its an expression with letter basically

Find the Value of x

Please answer!!
No links!!

Answers

Answer:

x = 15 inches

Step-by-step explanation:

[tex]a^{2} +b^{2} =c^{2} \\b^{2} = c^{2} - a^{2} \\b^{2} = (25 inches)^{2} - (40 inces/2)^{2} = \sqrt{225} = 15 inches[/tex]

Triangles PQR and XYZ are similar. What is the length of XZ?

Answers

3x3x3x3x3= you do the math

PLEASE HELP WITH THIS ONE QUESTION

Answers

Answer:

dont know

Step-by-step explanation:

sorry

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