Dominic wants to find the distance between his house on one side of the park and his school on the other side. He marks off a third point forming a right triangle, as shown in the diagram. The distances in the diagram are measured in yards. Use the Pythagorean Theorem to find the distance from Dominic’s house to the school.

Answer:

8

Step-by-step explanation:

if one tree equals 700 bags, then you would divide the amount of bags that were used, 5600, by 700 to get answer. 5600 divided by 700 = 8

Answer:

5 : 1

Step-by-step explanation:

25 m = 25 x 100 = 2500 cm

500 cm

Find ratio :

[tex]\frac{2500}{500} = \frac{25}{5} = \frac{5}{1}\\\\5 : 1[/tex]

Answer:

There is no sufficient evidence

Step-by-step explanation:

The hypothesis :

H0 : μ = 436

H1 : μ < 436

Xbar = 433

s = 23

Sample size, n = 28

The test statistic :

(xbar - μ) ÷ (s/√(n))

(433 - 436) ÷ (23/√(28))

-3 ÷ 4.3465914

Test statistic = - 0.690

The Pvalue, calculated from test statistic value, df = n - 1 = 28 - 1 = 27

Pvalue = 0.248

Pvalue > α ; Hence, we fail to reject the null and conclude that there is no sufficient evidence to support the claim that the bags are underfilled

Answer:

21

Step-by-step explanation:

Answer:

x = 13.9

Step-by-step explanation:

Sin = Opposite over Hypotenuse

Sin(69) = 13/x

Multiply both sides by x

xsin(69) = 13

Divide both sides by sin(69)

x = 13/sin(69)

Simplify

x = 13.9 ( rounded to the nearest tenth )

Answer:

answer for this solution is 10 degrees

Step-by-step explanation:

sin x + cos x = 90

5x + 3x +10 = 90

x = 10

Answer:

c = 81.7 m

Step-by-step explanation:

a = πr²

530.93 = πr²

r² = 530.93/π

r² = 169

r = 13

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

c = 2πr

c = 2π(13)

c = 81.7

Answer: 81.7

Step-by-step explanation:

Answer:

The smallest integer is 11.

Step-by-step explanation:

Let the first integer be x.

Then the second will be (x + 1) and the third will be (x + 2).

The sum is 36. Hence:

[tex]x+(x+1)+(x+2)=36[/tex]

Solve for x:

[tex]3x+3=36[/tex]

So:

[tex]3x=33[/tex]

Hence:

[tex]x=11[/tex]

Our sequence is 11, 12, 13.

So, the smallest integer is 11.

Answer:

40 Dollars!

Step-by-step explanation:

$8 x 5 people = 40!

Answer:

Ali serves 24 customers an hour

Alyssa severs 60 customer an hour

Alyssa severs more customers in one hour

Step-by-step explanation:

Answer

80 m^2

Step-by-step explanation:

basically 10 x 8 plus the value

Answer:what’s the question?

Step-by-step explanation:

Answer:

What grade math is this??

Step-by-step explanation:

Answer:92.1

Step-by-step explanation:

A=78+4.5

A=92.137166941154

A=92.1

Answer:

Translate 2 unit(s) to the right and then reflect over the x-axis

Step-by-step explanation:

You have to move the coordinates of P, Q, and R to the right by 2 so just add 2 to the x coordinate in order to to the first part of the transformation.

After that flip it so that y coordinate of the points are negative to the position they were after translating to the right.

After translating two units to the right, reflect over the x-axis.

A transformation known as a translation involves shifting each point in a figure by the same amount and in the same direction. For instance, this transformation shifts the parallelogram 3 units upward and 5 units to the right. The formula is (x, y) →(x + 5, y + 3).

Given

Simply add 2 to the x coordinate to complete the first phase of the transformation since you must move the coordinates of P, Q, and R to the right by 2.

Then reverse it so that the points' y coordinates are opposite to where they were before being translated to the right.

To learn more about translation refer to:

https://brainly.com/question/1046778

#SPJ2

Answer:

The third option (9+[tex]3\sqrt{7}[/tex]-[tex]3\sqrt{7}[/tex]-[tex]\sqrt{49}[/tex])

Step-by-step explanation:

With FOIL, this can be expanded. (a+b)(a-b) is equal to a²+ab-ab-b² or a²-b².

In this case, all the answers have 4 terms, so we want the first option. This makes the equation 3²+(3×[tex]\sqrt{7}[/tex])-(3×[tex]\sqrt{7}[/tex])-([tex]\sqrt{7}[/tex])².

Solving these gives 9+[tex]3\sqrt{7}[/tex]-[tex]3\sqrt{7}[/tex]-7. This is the same as  9+[tex]3\sqrt{7}[/tex]-[tex]3\sqrt{7}[/tex]-[tex]\sqrt{49}[/tex].

**This content involves multiplying with surds and expanding perfect squares, which you may wish to revise. I'm always happy to help!

The equivalent expression is (c) [tex]9 - 3\sqrt 7 + 3\sqrt 7 - \sqrt {49}[/tex]

The difference of squares equation is given as:

[tex](a + b)(a - b) = a^2 -b^2[/tex]

And the radical expression is given as:

[tex] (3+ \sqrt 7)(3- \sqrt7)[/tex]

By comparing the above expression to [tex](a + b)(a - b) = a^2 -b^2[/tex], we have:

[tex]a =3[/tex]

[tex]b = \sqrt 7[/tex]

Substitute these values in [tex](a + b)(a - b) = a^2 -b^2[/tex]

[tex] (3+ \sqrt 7)(3- \sqrt7) = 3^2 - (\sqrt 7)^2[/tex]

This gives

[tex] (3+ \sqrt 7)(3- \sqrt7) = 9 - \sqrt {49}[/tex]

By complete expansion, we have:

[tex] (3+ \sqrt 7)(3- \sqrt7) = 9 - 3\sqrt 7 + 3\sqrt 7 - \sqrt {49}[/tex]

Hence, the equivalent expression is (c)

Read more about difference of two squares at:

https://brainly.com/question/3189867

Answer:

4x+12+mx+3m

You use the FOIL method.

Answer:

(4+m)(x+3)

Step-by-step explanation:

x+3 is a common factor, so you can convert this to put the other 2 parts in a bracket. This results in (4+m)(x+3).

An example of how this works is if you made m=1 and x=2. This would make the original expression 4(2+3)+1(2+3), or 4×5+1×5, which is 5×5 or 25. (1+4)(2+3) also equals to 5×5.

**You may want to revise factorising algebraic equations. I'm always happy to help!

Answer:

Step-by-step explanation:

according to the Pythagoras theorem ,

SohCahToa

Soh - sine is opposite , hypotenuse

Cah -cos is adjacent , hypotenuse

Toa - tan is opposite, adjacent

from the diagram above , the tan is 8/15.

Hope this is helpful ,

have a nice day :-)

Answer:

yes

Step-by-step explanation:

f(x) = y = 4 - 7x/4

7x/4 + y = 4

7x/4 = 4 - y

7x = 4(4-y)

x = 4(4-y)/7 = 16/7 - 4y/7

renaming to regular function convention (with x as input variable and y as function result) :

inverse function f(x) = y = -4x/7 + 16/7 = g(x)

so, yes, they are inverses of each other.

Answer:

x = -2

Step-by-step explanation:

y + 2x = -1

y = 1/2 x + 4​

y + 2x= -1

(1/2x + 4) + 2x = -1

1/2x + 2x + 4 = -1

5/2x + 4 = -1

5/2x = -5

x = -2

Answer:

x = -2

Step-by-step explanation:

First, we need to represent y in terms of x by using the first equation. If we do this we will get the following...

y + 2x = -1

y = -1 - 2x

Now we substitute the "y" in the second equation with an equal value in terms of "x" that we got in the last equation, and we will get the follolowing equation...

[tex]y = \frac{1}{2} x + 4\\- 1 - 2x = \frac{1}{2} x + 4\\-2 -4x = x + 8\\-4x - x = 8 + 2\\- 5x = 10\\5x = -10\\x = 10 /5\\x = 2[/tex]

Answer:

u & v = 8

Step-by-step explanation:

This triangle is a special 45-45-90 triangle!

In a 45-45-90 triangle, to solve for the hypotenuse use the formula

[tex]h=(sidelength)*\sqrt{2}[/tex]

Here we see that 8 is being multiplied by radical 2!

We can prove that 8 is the side length by using the Pythagorean Theorem!

Answer:

Step-by-step explanation:

Total surface area of a cone is given by the expression,

SA = πrl + B

Here, r = Radius of the circular base

l = slant height

B = Surface area of the base

Surface area of the circular base = πr²

                                                       = π(5)²

                                                       = 25π cm²

Slant height 'AC' = [tex]\sqrt{AB^2+BC^2}[/tex]

                            = [tex]\sqrt{h^2+r^2}[/tex]

                            = [tex]\sqrt{5^2+(12)^2}[/tex]

                            =  13 cm

Substitute the values in the expression of surface area,

SA = π(5)(13) + 25π

     = 65π + 25π

     = 90π cm²

Therefore, SA = 90π cm² will be the answer.

Answer:

to do this we have to find what percent of 2500 1625 is so we have to divide 1625 by 2500

which is 0.65 which when then multiply by 100 to get

65%

Answer:

4/7

Step-by-step explanation:

Pr = Expected outcome/Total outcome

Since Total movies = 15

Total outcome = 15

If there are 9 actions movies

Pr(selecting the first action movie) = 9/15

Since the total remaining movies will be 14 (no replacement)

If the second movie is taken, Pr(second action movie) = 8/14 = 4/7

p²-q²

p²-q²= (p+q)(p-q)

[by formula: (A+B)(A-B) = A²-B²]

Proof of the formula

Proof of the formula (A+B) • (A-B)

Proof of the formula (A+B) • (A-B) = A2 - AB + BA - B2

Proof of the formula (A+B) • (A-B) = A2 - AB + BA - B2 = A2 - AB + AB - B2

Proof of the formula (A+B) • (A-B) = A2 - AB + BA - B2 = A2 - AB + AB - B2 = A2 - B2

Answer:

13 quarters and 24 dimes

Step-by-step explanation:

13*.25=3.25

24*.1=2.4

3.25+2.4=5.65

Answer:

2x^2-9x+15

It is prime/unfactorable

Step-by-step explanation:

Answer:

the answers  is =-0

Step-by-step explanation:

is -0