The front of a dog house is in the shape of a isosceles triangle. If the sides measuring 4 feet and the base of the house is 6 feet long. Find the height of the doghouse.

Answers

Answer 1

Answer: [tex]\sqrt{5}[/tex] feet

Step-by-step explanation: Since it's an isosceles triangle, we can split it into  two right triangles. Now we have two right triangles with a hypotenuse of 4 and one side length of 3. To solve for the other side length (the height), we can use the Pythagorean theorem. [tex]4^{2} = 3^{2} + h^{2}[/tex] where h is the height of the dog house. Solving for h, we get the answer of [tex]\sqrt{5}[/tex] feet


Related Questions

Find the smallest value of m such that the LCM of m and 34 is 374.

Answers

Answer:

11

first you use a number tree

34 374

/\ /\

2 17 2 187

/\

11 17

express the numbers in prime factors

374=2×11×17

34 =2×17

in finding LCM you use the highest prime factors in this case the highest prime factors are 2, 11 and 17

So m factors are 2 and 11

which means m is 2×11=22

22 in its smallest form is 11

Which of the following is most likely the next step in the series? ​

Answers

Answer:

Option A is the next step in the series.

HOW MANY ELEMENTS DOES A TRIANGLE HAS
?​

Answers

Answer:

6

Step-by-step explanation:

3 sides, 3 angles.

6 HOPE THIS HELPS!!!

Urgent!!!

set whether each of the following equations represents a growth or decay


1. f(x)= 3[tex]^{x}[/tex]


2.f(x) = (0.25)[tex]x^{x}[/tex]


3.f(x)= [tex]\frac{2}{3x^{x} }[/tex]


4.f(x) =[tex]\frac{3}{2} x^{x}[/tex]

Answers

Answer:

Notice that the written functions are mostly incorrectly written, after a short online search i've found the correct ones, which are the ones i will write in this answer.

A general exponential equation can be written as:

f(x) = A*(r)^x

Where A is the initial value, r is the rate of growth, and x is our variable.

If r > 1,  the function represents a growth.

if 0 < r < 1, the function represents a decay.

1) f(x) = 3^x

Here we have r = 3

This is clearly larger than 1, then this function represents a growth.

2) f(x) = (0.25)^x

Here we have r = 0.25, which is smaller than 1 and larger than zero, then this function represents a decay.

3) f(x) = (2/3)^x

here we have r = 2/3 = 0.66

This is larger than zero and smaller than 1, then this function represents a decay.

4) f(x) = (3/2)^x

Here we have r = 3/2 = 1.5

This is larger than 1, then this function represents a growth,

Please helpppp me ! If the sum of the roots of the equation mx^2 - (6m+1)x+m^3+m^2+4=0 is equal to 7 , what is the product of its roots ? ( will give brainliest if answer correctly ) . ♡​

Answers

Answer:

The product of its roots is 6.

Step-by-step explanation:

Let [tex]m\cdot x^{2}-(6\cdot m +1)\cdot x+(m^{3}+m^{2}+4) = 0[/tex], all roots are calculated by Quadratic Formula:

[tex]r_{1} = \frac{6\cdot m +1 + \sqrt{(6\cdot m + 1)^{2}-4\cdot m\cdot (m^{3}+m^{2}+4)}}{2\cdot m}[/tex] (1)

[tex]r_{2} = \frac{6\cdot m +1 - \sqrt{(6\cdot m + 1)^{2}-4\cdot m\cdot (m^{3}+m^{2}+4)}}{2\cdot m}[/tex] (2)

According to statement, we know that:

[tex]r_{1}+r_{2} = 7[/tex] (3)

By applying (1) and (2) in (3), we have the following expression:

[tex]\frac{6\cdot m +1}{m} = 7[/tex]

[tex]6\cdot m + 1 = 7\cdot m[/tex]

[tex]m = 1[/tex]

If we know that [tex]m = 1[/tex], then the roots of the polynomial are, respectively:

[tex]x^{2}-7\cdot x +6 = 0[/tex]

[tex]r_{1} = 6[/tex]

[tex]r_{2} = 1[/tex]

And the product of the roots is:

[tex]r_{1}\cdot r_{2} = 6[/tex]

The product of its roots is 6.

how many true solutions are in x^2− 6x − 7 = 0

Answers

There are 2 true solutions in x^2-6x-7=0

What is the function g(x) created from f(x) = x ^ 2 xby moving the graph right 4 unitsadding vertical compression by factor of and shifting the graph up 6 units 1/3

Answers

Answer:

i believe its g(x) = 1/3(x+4)^2+6

Step-by-step explanation:

Can someone help me please
I will give Brainiest
Don’t need to show work

Answers

Answer:

24

Step-by-step explanation:

Do tell me if you ever change your mind and want me to show work :)

The sum of two numbers is 59 and the difference is 11

Answers

Answer:

35 and 24

Step-by-step explanation:

35 + 24 = 59

35 - 24 = 11

Answer:

24 and 35

Step-by-step explanation:

x + y = 59

x - y = 11,    then x = y + 11

substitute for x:

y + 11 + y = 59

simplify:

2y + 11 = 59

subtract 11 from each side of the equation:

2y = 48

divide both sides by 2:

y = 24

x = 35

I'm begging you. Please help me. Its 12:23 at night and these are the last problems. I am BEGGING you. PLEASE don't steal these points, or put in a fake link.

Answers

Step-by-step explanation:

First answer I hope it will help

During a basketball game, Bari scored 28 points. During the game, Denay scored 1/4 the number Bari scored. How many points did Denay score during this basketball game?
A. 32
B. 6
C. 24
D. 7

Answers

Answer:

7

Step-by-step explanation:

1/4 of 28 = 7

A roll of ribbon is used to tie 12 gifts which will be given to teachers on Teacher's
Day. Every gift requires a length of 1.85 m. After tying all the gifts, it was found that
2/3 of the ribbon had been used. The remaining ribbon was cut into 12 pieces of the same length. Calculate the length of each piece of ribbon that had been cut.



can someone help me answer this question plss

Answers

Each piece of ribbon that had been cut has a length of approximately 3.7 m.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The total length of ribbon to tie 12 gifts is calculated as,

⇒ 12 gifts × 1.85 m/gift = 22.2 m

The length of the ribbon remaining is calculated as,

Total length = [22.2 / (1/3)] x 2/3

Total length = 66.6 x 2/3

Total length = 44.4

The length of each piece of ribbon that had been cut is calculated as,

Length of each piece = 44.4 m ÷ 12 = 3.7 m

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

reflect the figure over the line y=x+2

Answers

I’ve attached my answer...
Hope it helps!
The answer is the black figure

Saul paid off a loan with a simple interest rate of 4.7% in 9 months. What was the APR?
6.4%
8.5%
3.5%
6.3%
4.7%

Answers

Using proportions, it is found that the APR was of 6.3%.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, 4.7% was paid in interest in 9 months. The APR is the amount that would be paid in a year, that is, 12 months.

Hence, the rule of three is:

9 months - 4.7%

12 months - x%

Applying cross multiplication:

[tex]9x = 12(4.7)[/tex]

[tex]x = \frac{12 \times 4.7}{9}[/tex]

[tex]x = 6.3[/tex]

The APR was of 6.3%.

More can be learned about proportions at https://brainly.com/question/24372153

A piggy bank contains six times as many quarters as dimes. If the total amount of money
is $28.80, how many quarters and dimes are in the piggy bank?

Answers

9514 1404 393

Answer:

108 quarters18 dimes

Step-by-step explanation:

A group of 6 quarters and 1 dime has a value of $1.60. Then there are ...

  $28.80/$1.60 = 18

groups like that in the piggy bank.

The number of quarters is 18×6 = 108.

The number of dimes is 18×1 = 18.

There are 108 quarters and 18 dimes in the piggy bank.

What is a common factor for the two fractional terms
11
001 01
x and
?
The terms can be written as 5)
(x) and (11)
log
(x) y).
O 5
100 100

Answers

Weißt du Deutsch, ich kann vielleicht helfen

Which is the graph of the linear inequality 1/2x-2y>-6y

Answers

Answer: Are you high school because GOD that looks hard to do.

Step-by-step explanation:

Mike buys a $ 150 pair of shoes . He has a $ 25 stored-value card and the store gives a 15 % discount if he uses the store's credit card to pay for the shoes. Mike does not use the store credit card to pay for the shoes, but he uses the stored - value card . How much does Mike pay for the shoes ? A $1 102.50 B$106.25 C $125.00 D $127.50

Hurry

Answers

(205) 872-9311 call me so I can help you out g

What is the radius of a sphere that has a surface area of 951.1 in2?
A. 6.4 in
B. 7.7 in
C. 9.8 in
D. 8.7 in

Answers

Answer:

FORMULA FOR SURFACE AREA OF SPHERE = 4 pi r^2  

r = 6 " area = 4 pi X 6 X 6 = 144 pi " squared  

r = 12 "  

area = 4 X pi X 12 X 12 = 576 pi" squared  

ANSWER Area will be 4 times the original

Step-by-step explanation:

Answer:

The answer is D. 8.7

Step-by-step explanation:

A=4πr2

Solving fore

r=1

2A

π=1

2·951.1

π≈8.69978in

HELP HELP PLEASE!! D:
Determine the missing side length!!
PLEASE NO CAP!!

Answers

Answer:

the missing side length = 3

Step-by-step explanation:

Hello There!

This is a 30 - 60 - 90 degree special right triangle

We know this because in these types of triangle the hypotenuse is equal to twice the short leg

[tex]\sqrt{3} *2=2\sqrt{3}[/tex]

to calculate the missing side length (which is the long leg)

we multiply the short leg by [tex]\sqrt{3}[/tex]

[tex]\sqrt{3} *\sqrt{3} =3[/tex]

so the missing side length is 3

16. At a point on the ground 20 feet from the foot of a tree, the angle of
elevation to the top of the tree is 40°. Find the height of the tree. *

Answers

It should be 16.8 meters

What is the answer to:(15
15x) - (-5+4x)

Answers


I really don’t know at this point lol

What is the value of the expression below when n = 2.4 ?
4n X 2 + 43

Answers

4(2.4)(2)+43
(9.6)(2)+43
19.2+43
62.2
the value of 4n x 2 + 43, when n=2.4, is 62.2

which pair of these points defines a line with a slope 2/3? A. (2, 6) and (3, 0) B. (6, 2) and 3, 0) C. (6, 2) and (0, 0) D. (2, 6) and (0, 0)

Answers

Answer:

B. (6,2) and (3,0)

Step-by-step explanation:

To find the slope the equation is [tex]\frac{y_{2-y_{1} } }{x_{2} -x_{1} }[/tex] so for (6,2) and (3,0) the equation would look like this [tex]\frac{0-2}{3-6}[/tex] which simplies down to [tex]\frac{-2}{-3}[/tex] and a negative divided by a negative is a positive so you're slope is [tex]\frac{2}{3}[/tex] and it matches the question.

Answer:

b

Step-by-step explanation:

Ms.Carmine is making a necklace using small beads. For every red bead that she uses, she adds 6 black beads and 9 green beads. If she used 48 black beads, how many red beads and how many green beads does Ms.Carmine use?

Answers

Answer:

8 red beads, 72 green beads

Step-by-step explanation:

1  = x

6 = 48

9 = x

to get from 6 to 48 you multiply by 8 so do that for 1 and 9 to get the answer

1 · 8 = 8

9 · 8 = 72, 72+8 = 80  

Pls help im already failing and i really dont understand this

Answers

Answer:

B. 9.99 + 1.29n [tex]\leq[/tex] 50

Step-by-step explanation:

The inequality of [tex]\leq[/tex] means less than or equal to. Her limit is $50. She has already spent $9.99. Therefore if $1.29 is the cost each song, then n is the number of songs she can afford below the cost of $50.

A group of friends had dinner at a restaurant. The total bill for the dinner was $41 and they left a 15% tip. What was the total amount that they paid?

Answers

Answer:

$47.15

Step-by-step explanation:

41x15%=6.15

6.15+41=47.15

Answer: $47.15

Step-by-step explanation:

[tex]41 (1+.15)\\41 (1.15)\\= 47.15[/tex]

or you could do it in pieces

[tex]41(.15)= 6.15\\41+6.15= 47.15[/tex]

Please help with this!

Answers

Answer:

Expression is 2(l+w)

Step-by-step explanation:

l is length and w is width

This is a similar triangle please find the missing length. (?)

Answers

Answer:

10

Step-by-step explanation:

Set up as a proportion:

[tex]\frac{QR}{QP}=\frac{BA}{BC}[/tex], insert given values

[tex]\frac{?}{12}=\frac{30}{36}[/tex], cross multiple

36*?=30*12

36*?=360, divide both sides by 36 to get the missing side (?) by itself

?=10

Nadia swims at a rate of 50 meters per minute. Create a function f, where f(n) gives the number of meters Nadia swims given the number of minutes she swims, n. Write the appropriate variable and symbol to correctly complete the equation for the function.

f(n) = 50 ________ ________

Answers

The function is f(n)=50n, where f(n) gives the number of meters, Nadia swims given the number of minutes she swims.

What is a function?

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

We are given the function f, where f(n) is the number of meters Nadia swims given the number of minutes she swims, n, can be written as ;

f(n)=50n.

This function that represents a linear relationship, where the output (the number of meters Nadia swims) is directly proportional to the input (the number of minutes she swims).

Therefore if Nadia swims for 10 minutes, the function will output 500 meters;

10 minutes x 50 meters/minute = 500 meters

Thus, the required function is;

f(n)=50n.

Learn more about the function here:

brainly.com/question/12431044

#SPJ1

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