A sporting goods store brought in some new mountain bikes that cost $1,200 each and kayaks that cost $800 each. A total of 32 of these items were acquired , for $30,400 . How many new mountain bikes did the store bring in ? ASAP HELP!

Answer:

26.68 ft

Step-by-step explanation:

Let a represent the distance from Kelsea to the bird and b be the distance from Landon to the bird.

Let x = angle of the bird. Hence:

x + 45 + 20 = 180 (sum of angles in a triangle)

x + 65 = 180

x = 180 - 65

x = 115°

Using sine rule:

[tex]\frac{100\ ft}{sin(115)} =\frac{a}{sin(45)} =\frac{b}{sin(20)} \\\\\frac{100\ ft}{sin(115)} =\frac{a}{sin(45)}\\\\a=\frac{100\ ft}{sin(115)} *sin(45)\\\\a=78\ ft\\[/tex]

Let h = height of the bird to the ground. Since a right angle is formed. hence:

[tex]\frac{h}{sin(20)} =\frac{78}{sin(90)} \\\\h=\frac{78}{sin(90)}*sin(20)\\\\h=26.68\ ft[/tex]

Answer:

(1). x = 14 ; (2). 70°

Step-by-step explanation:

(1). m∠ACD = m∠A + m∠B

6x + 2 = (2x + 1) + (3x + 15)

6x - 5x = 14

x = 14

(2). m∠ABC = 180° - m∠CBD = 140°

m∠A = m∠C = 140° ÷ 2 = 70°

Answer:

there is a black photo

Step-by-step explanation:

make sure to check properly

Answer:

Yes you can, you just need to make x be times by 4.

Step-by-step explanation:

4 quarts in a gallon

Answer:

900,000

I think is the answer

Answer:

3.75

Step-by-step explanation:

14.20-2.95=11.25÷3=3.75 per burger

Answer:

7

Step-by-step explanation:

Answer:

52 7/8 pounds

Step-by-step explanation:

Find the smaller dog's weight by multiplying the larger dog's weight by 0.75:

70.5(0.75)

= 52.875 or 52 7/8 pounds

So, the smaller dog weighs 52 7/8 pounds

The required weight of the smaller dog is 52.875 pounds.

Given that,
Doug has two German Shepherds. The larger dog weighs 70 1/2 pounds. If the smaller dog weighs 75% as much as the larger dog, To find the smaller dog's weight.

In mathematics, it deals with numbers of operations according to the statements.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
Let the weight of the smaller dog be x,
The weight of the smaller dog is 75% of the larger dog
x = 75% of 70 1/2
x = 0.75 * 70.5
x = 52.875

Thus, the required weight of the smaller dog is 52.875 pounds.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

Answer:

16 coins

Step-by-step explanation:

At first: 4 coins

First hour: 4 x 2 = 8

Second hour: 8 x 2 = 16

Total coins: 16 coins

Answer: Hi, sorry if I’m late to answering but the answer is 19

Step-by-step explanation:

You divide each number in the equation by 5. So, 5x divided by 5 = 1. We cannot use 5 divided by 5 because it will equal 1 so we ignore that and go to 95 divided by 5 = 19. Therefore, 19 is your answer!!! (Hope this helped)

Answer:8

Step-by-step explanation: negative times negative =positive

and times 8/5 by 5/1  .

When multiplying fractions, simply multiply the numerators together and multiply the denominators together.

-8 * -5 = 40

5 * 1 = 5

-8/5 * -5/1 = 40/5

40/5 = 8

Answer: 264 cubic centimeters

8*8*1=64

8*5*5=200

200+64=264

Answer:

1.61

Step-by-step explanation:

Just subtract 4.7 by 3.09

Answer:

A= 113.1 (I rounded my answer)

Step-by-step explanation:

A=πr^2=π·6^2=113.09734

Answer:

113.04 [tex]m^{2}[/tex]

Step-by-step explanation:

Area of a circle is π x [tex]r^{2}[/tex].

I'm assuming that you're using 3.14 as π.

Since the radius of the circle is 6 m, all you need to do is plug it in!

Area = 3.14 × [tex](6)^{2}[/tex]

Area = 3.14 × 36

Area = 113.04 [tex]m^{2}[/tex], which is the third answer choice.

9514 1404 393

Answer:

  D.  a ║ b

Step-by-step explanation:

If we figure the other angle of each linear pair, we can directly compare angles to see if corresponding angles are the same. Where they are the same, the lines are parallel.

  Line a is parallel to line b.

Answer:

C

Step-by-step explanation: each side by 4 and you get the radius as 2 and the center at 0,0.

Answer: C

Step-by-step explanation: I got this right on Edmentum.

Answer:

option B

Step-by-step explanation:

let the height=x

base=x

Area=½bh

72=½x•x

72×2=x²

144=x²

x=√144=12

Answer:

12

Step-by-step explanation:

12 x 12= 144

144/2= 72

Answer:

y=3/4x+(-4.5)

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

6/8 is equal to 3/4.

3/4 divided by 1/4 is 3

Answer:

a)(5m+3n)^3 b)(4a-3b)^3

Step-by-step explanation:

a)125m^3+27n^3+225m^2 n+135mn^2

Use the binomial cube formula, a^3+3a^2

b+3ab^2+b^3=(a+b)^3, where a=5m and b=3n.

(5m+3n)^3

b)64a^3-144a^2 b+108ab^2-27b^3

Use the binomial cube formula, p^3-3p^2q+3pq^2-q^3=(p-q)^3, where p=4a and q=3b.

(4a-3b)^3

Answer:

x = 2[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Since the 2 legs are congruent, both 6 then the triangle is isosceles.

The line from the vertex to the base is a perpendicular bisector, dividing the base into 2 parts of 4 units.

Using Pythagoras' identity in one of the right triangles.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 4² = 6²

x² + 16 = 36 ( subtract 16 from both sides )

x² = 20 ( take the square root of both sides )

x = [tex]\sqrt{20}[/tex] = [tex]\sqrt{4(5)}[/tex] = 2[tex]\sqrt{5}[/tex]

Answer:

45 and 14 are the correct answer

Answer:

D. x² = 576 + 7²

Step-by-step explanation:

i got this correct on my homework :)