The altitude of a triangle is 5 less than its base. The area of the triangle is 42 square inches. Find its base and altitude.​

Answers

Answer 1

9514 1404 393

Answer:

  base: 12 in

  altitude: 7 in

Step-by-step explanation:

The formula for the area of a triangle is ...

  A = 1/2bh

Filling in the given information, we have ...

  42 = 1/2(b)(b -5)

  b^2 -5b -84 = 0 . . . . multiply by 2, put in standard form

  (b -12)(b +7) = 0 . . . . factor

The only positive solution is b = 12

The base is 12 inches; the altitude is 7 inches.


Related Questions

please answer the following quickly!!!!

Answers

Answer:

A could only be 3 or 6

their sum would be 9

Step-by-step explanation:

The radius of a circle is 25 millimeters. Find the diameter.

Answers

If you know the radius of the circle, you double it to get the diameter. if the radius is 25mm than the diameter will be 25mm×2, which gives you 50

please answer fast :)

Will says you cannot use a graphing calculator to graph a line when the equation is in point slope form. Explain Will's reasoning. How could you modify an equation given in point-slope for so that you could graph the line on a graphing calculator? Use the equation y - 2 = -3(x + 5) as an example in your explanation.

Answers

Answer: y-2=3x-15 that’s wher my knowledge stops hopefully that helps a little. ‍♀️

Graph (1,-3) on a grid

Answers

Step-by-step explanation:

To plot (1,-3), start at the origin (0,0) and move right 1 unit and down 3 units.

hope it helps.

Vincent's pie recipe calls for 5 ounces of pecans and 7 ounces of walnuts. How many total ounces of nuts does his recipe call for?

Answers

Answer:

12 nuts

Step-by-step explanation:

[tex]7 + 5 = 12[/tex]

Determine whether the figure has line, point, and/or rotational symmetry.

Answers

Answer: do you have a picure to go with it sorry im not getting it?

Step-by-step explanation:

A store sells 8 cans of for ​$22. How much would it cost you to buy 3 cans of fruit cocktail? ​?

Answers

the answer is 8.25 or 8 1/4

you can get this by dividing 22 by 8 to see the price for one can. this gives you 2.75

now you want to know how much 3 cans would cost. we know one can costs 2.75, so we multiply that by 3.

this would give you 8.25 which is your answer

if this was useful please mark brainliest! (>∀<)

Answer:

3 cans of fruit cocktail would cost $8.25

Step-by-step explanation:

[tex] \frac{22}{8} = 2.75[/tex]

2.75*3=8.25

Find the Total Surface Area and volume of the prism below. Round to the nearest hundredth, if necessary.
12 yd
10 yd
12 yd
Total Surface Area =
Tyds squared
yds cubed
Volume =

Answers

length l = 12 yd

width w = 10 yd

height h = 12 yd

diagonal d = 19.697715603592 yd

total surface area Stot = 768 yd2

lateral surface area Slat = 528 yd2

top surface area Stop = 120 yd2

bottom surface area Sbot = 120 yd2

volume V = 1440 yd3


if 5 miles= 8 km, convert 40 mules to kilometers​

Answers

Answer:

64.3738

Step-by-step explanation:

Answer:

64km

Step-by-step explanation:

5miles= 8km

40/5= 8

8x8= 64km

Find the perimeter of trapezoid TRUE.

Answers

The answer is C because it is C

factoring review 2 terms 1-8

Answers

Answer:

ok

Step-by-step explanation:

whats the question?

Find l.
10 in.
l
l = [?] ir
1
1
6 in.

Answers

Answer:

[tex]l=\sqrt{109}[/tex] in

Step-by-step explanation:

[tex]l^{2} =r^{2} +h^{2} \\\\l^{2} =3^{2} +10^{2} \\\\=90+100\\\\l^{2} =109\\\\l=\sqrt{109}[/tex]

hope it helps....

I'll add a photo of the problem! ​

Answers

I’m pretty sure it is D ngl

Solve for x using
cross multiplication.
x 1 = 2x + 4 5
x = [?]

Answers

Answer:

x = -7

Step-by-step explanation:

Given:

[tex] \frac{x - 1}{4} = \frac{2x + 4){5} [/tex]

Required:

Find x using cross multiplication

Solution:

Cross multiply

(2x + 4)*4 = (x - 1)*5

8x + 16 = 5x - 5

Collect like terms

8x - 5x = -16 - 5

3x = -21

Divide both sides by 3

x = -21/3

x = -7

write down four common multiple of 9 and 6​

Answers

Answer:

18, 36, 90, 180 are common multiples of 9 and 6

Step-by-step explanation:

1 Answer

multiples 6:{6,12,18,24,30,36,42,48,54,60,66,..}

multiples 9:{9,18,27,36,45,54,...}

common multiples {18,36,54,... }

In ΔPQR, sin P = 0.3, sin R = 0.8 and r = 16. Find the length of p. Please show your work.

Answers

Answer:

p = 6

Steps:

sin(P)/p = sin(R)/r

given: sin(P) = 0.3 , sin(R) = 0.8 , r = 16

0.3/p = 0.8/16

0.3/p = 8/10×1/16

0.3/p = 8/160

0.3/p = 1/20

p = 3/10×20

p = 60/10

p = 6


Q5. Convert 7000 yards into kilometres. Given that 1km = 1093.6 yards
1)6km
2)O 62km
3)7.3km
4)O 6.4km

Answers

Answer:

4. 6.4km

Step-by-step explanation:

I hope this helps ^-^

Which of the following could be the perimeter of the three squares below?

Answers

Answer:

I would say B

Step-by-step explanation:

I have done the calculations and my research matches B

XDDD

I need to get this right man

Answers

What is that little number next to the four

One diagonal of square EFGH is shown on the coordinate grid.
G
0
4 5 6
Which of the following statements is correct?
A А. The location of point F could be (1,6) because diagonals of a square are congruent and perpendicular.
B. The location of point F could be (-1, 6) because diagonals of a square are similar and perpendicular.
C. The location of point F could be (-1,6) because diagonals of a square are congruent and perpendicular.
The location of point F could be (1,6) because diagonals of a square are similar and perpendicular.
D.

Answers

Answer:

C. The location of point F could be (-1,6) because diagonals of a square are congruent and perpendicular.

Step-by-step explanation:

I took the quiz. I hope this helps :)

Which of the following factors does not affect the mortgage payment?
A. The down payment
B. Interest rates
C. The neighborhood the home is located in
D. The borrower's credit score

Answers

Answer:

I think D does not affect t

The correct factors which does not affect the mortgage payment is,

⇒ The neighborhood the home is located in.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Since, We know that;

A mortgage can be defined as a loan where ones property is used as a collateral. The mortgage payment is based on property price, interest rate, down payment, the term of the loan, taxes, various insurance like homeowners insurance etc.

Hence, It's not depend on ''The neighborhood the home is located in.''

Option C is true.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ5

What is the Distance between (-5, -5) and (-9, -2)

Answers

Answer:

4,3

Step-by-step explanation:

Let the graph of g be a reflection in the y-axis, followed by a translation 5 units down of the graph of f(x)=3x√4. Write a rule for g.

Answers

Answer: sorry don't know but uhh its 5

Step-by-step explanation:

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!

Answers

Answer:

Angle 8 because it is a different measure to the other options.

Step-by-step explanation:

Congruent means the angles are the same and angle 8 is not the same as angle 7.

Find the measure of x1.
{
83°
41
{
41 = [?]

Answers

Answer:

Solution given:

< 1+ 83°= 180 [co- interior angle]

<1=180-83=97°

<1=97° is your answer

find the median of the list of data. 12, 18, 21, 25, 30, 43

Answers

Median is the middle number
=21 and 25
(21+25)/2
=23

If an object is projected upward into the air from ground level, then the height h(t) of the object
in feet at time t in seconds is given by:
h(t) = -16t^2+ 344t
How long does it take for the object to hit the ground? SHOW ALL WORK clearly and neatly - do not skip
steps. The show all work part cannot be stressed enough.

Answers

Answer:

21.5secs

Step-by-step explanation:

Given the function that models the height of an object as

h(t) = -16t^2+ 344t

The object hit the ground at h(t) = 0

Substitute

0 =  -16t^2+ 344t

16t^2 = 344t

16t = 344

t = 344/16

t =  21.5

Hence it takes 21.5secs for the object to hit the ground

A consultant wants to ask workers at a factory about the workers' job satisfaction. Which of the following best describes a stratified sample of workers?
a. The consultant forms groups of workers based on the workers' shifts. Then, he selects workers at random from each group.
b. All of the workers on the second floor of the factory building are easily accessible. So, the consultant selects the first workers from the second floor to arrive at work on a particular day.
c. The consultant forms groups of workers based on the lengths of time the workers have worked at the factory. Then, he randomly chooses groups and selects all of the workers in these groups.

Answers

Answer:

A. the consultant forms groups of workers based on the workers' shifts. then, he selects workers at random from each group.

Step-by-step explanation:

Sana nakatulong

Answer:

A

Step-by-step explanation:

Can Someone Help Me. ?

Answers

Answer: 2/4

Step-by-step explanation:

answer is 2/4

rise/run

math pre calc, transformation of radical functions
PLEASE HELP GOT TO HAND THIS IN SOON IM CONFUSED.
I WILL VENMO ANYONE WITH GOOD ANSWERS ​

Answers

Answer:

Im pretty sure you can just search this up number by number and you will find all the answers

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