Simon has 3 pets. Altogether, the 3 pets have 8 legs. Each of the pets is either a bird or a dog. How many birds and how many dogs does Simon have?

Answer:

x=121°

Step-by-step explanation:

the sum of angles in a triangle always equal 180°

that means that 22°+37°+x°=180°

so we solve the equation by isolating the variable

add 22 and 37 together

59°+x°=180°

subtract 59 from both sides

x=121°

that means that x is 121 degrees

hope this helps!

Answer:

4:13

Step-by-step explanation:

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).

8 : 26

divide each number by 2

4 : 13

We want to write the equation in the form

y = mx + b.

We need to solve for y.

4x + 2y = -6

Subtract 4x from both sides.

4x - 4x + 2y = -4x - 6

2y = -4x - 6

Divide both sides by 2.

2y/2 = (-4x - 6)/2

y = (-4x - 6)/2

y = -2x - 3

Done.

Answer:

1921.68mm^3

Step-by-step explanation:

Given data

H=17 millimeters

R=6 millimeters.

We know that the expression for the volume of cylinder is

V= πr^2h

substitute

V= 3.14*6^2*17

V= 3.14*36*17

V= 1921.68 mm^3

Hence the volume is 1921.68mm^3

Answer:

V=1582.56 cubic cm

Step-by-step explanation:

Answer:

1.25 m

Step-by-step explanation:

Given that :

Initial height of drop = 20 meters

Rebound after each drop = 1/2 of height

Height after 4th rebound = 5th term of a geometric series

An = a1 * r^(n-1)

a1 = first term = initial drop height

r = common ratio = ratio of rebound per drop = 1/2 = 0.5

A5 = 20 * 0.5^(5 - 1)

A5 = 20 * 0.5^4

A5 = 20 * 0.0625

A5 = 1.25 m

Hence height after 4 reboubd = 1.25 m

Using another method :

1st bounce height = 20 * 0.5 = 10

2nd bounce height = 10 * 0.5 = 5

3rd bounce height = 5 * 0.5 = 2.5

4th bounce height = 2.5 * 0.5 = 1.25

Answer:

Standard Form

Step-by-step explanation:

Answer:

This relation is a function

3rd answer

Answer:

[tex]c=\frac{5}{\cos35^{\circ}}[/tex]

Step-by-step explanation:

Using basic trig for right tringles ([tex]\cos\theta =\frac{\text{adj}}{\text{hyp}}[/tex]), we have the following equation:

[tex]\cos 35^{\circ}=\frac{5}{c},\\c=\boxed{\frac{5}{\cos 35^{\circ}}}[/tex].

The value of c in the right triangle ABC is 5 / cos 35°

Right triangle has one of its sides as 90 degrees. The sides of a right triangle can be found using trigonometric ratios as follows;

cos 35 = adjacent  / hypotenuse

where

adjacent side = 5 inches

c = hypotenuse

Therefore,

cos 35° = 5 / c

cross multiply

c cos 35° = 5

divide both sides by cos 35°

c = 5 / cos 35°

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Answer:

25728

Step-by-step explanation:

Amount i would have in 3 months = simple interest + amount deposited

Simple interest = principal x time x interest rate

Principal = 25600

Interest rate = 2%

Time = 3/ 12 = 0.25

25,600 x 0.02 x 0.25 = 128

Total amount = 25,600 + 128 = 25728

Answer:

1099 in.²

Step-by-step explanation:

2πr²+2πrh

2×3.14×5×5+2×3.14×5×30

157+942

1099 in.²

Answer:

1099 in. ²

Step-by-step explanation:

because of how its measured

Answer:

a≥-5/2

Step-by-step explanation:

Answer:

can you give us a link

Step-by-step explanation:

Answer:

Abackyard = (3w + 5)2

Apool = w(w + 10)

Asurround = (3w + 5)2 - w(w + 10)

A=8w2+20w+25

The expression for the area surrounding the pool after the pool is

installed is  (3w + 5)² - w(w + 10).

The total space occupied by a flat (2-D) surface or the shape of an object is defined as its area. The area of a plane figure is the space enclosed by its boundary. The number of unit squares that cover the surface of a closed form is the figure's area.

We have,

The pool needs to have a length of 10 feet more than the width.

Then, the area of pool is

= w(w + 10)

and, The backyard have sides measuring 5 feet more than 3 times the width of the pool.

Then, area of backyard

= (3w + 5)²

Now, the area surrounding the pool after the pool is

=  (3w + 5)² - w(w + 10)

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Answer:

126m

Step-by-step explanation:

7 x 6 x 3

Answer:

A

Step-by-step explanation:

a)

[tex](8(3)^{2} / 9) * 7[/tex]

8(9) / 9 = 8 x 7 = 56

b)

[tex]2(3)^{2} * 3 - 4(3)[/tex]

2(9) * 3 - 12

18 * 3 = 54 - 12 = 42

c)

[tex]4(3)^{2} - 6(3) + 12[/tex]

4(9) - 18 + 12

36 - 18 = 18 + 12 = 30

d)

[tex]7(3) + (3 * 8)[/tex]

21 + 24 = 45

Answer:

area = 396 ft²

Step-by-step explanation:

area = (12 x 19) +(19 x 6) + (9 x 6) = 396 ft²

Answer:

$1,462.50

Step-by-step explanation:

To find the percentage, multiply 1,250 by 0.0425, giving us 53.125. Multiply this by the 4 years, giving us a total of 212.5. Add 212.5 and 1,250, leaving us with his total, $1,462.50

Hope this helps!

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: Y = 1/3x - 1

:

M = y2 - y1/ x2-x1

M = 6 - (-3) / 1 - (-2)

Y = 1/3x + b

Then substitute one of the points into the equation

-2= 1/3(-3) + b

-2 + 2 + b = 1/3(-3) +b - b + 2

-b = 1/3(-3) + 2

-b = 1

b = -1

Y = 1/3x - 1

Then i plugged it into

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Answer: The interest rate can he afford to pay on his  | loan =7.5%

Step-by-step explanation:

Given: Principal amount = 375,000

Interest amount per year =  $28,125

Interest percentage = [tex]\dfrac{\text{Interest}}{\text{Principal}}\times100\%[/tex]

[tex]=\dfrac{28125}{375000}\times100\%\\\\=7.5\%[/tex]

Hence, The interest rate can he afford to pay on his  | loan =7.5%

Answer:

The last one

Step-by-step explanation:

each following number in the sequence is multiplied by -4, and the first number is -2!

Answer:

13

Step-by-step explanation:

If you were to plug the points into a graph you would have to go down 6 over 7 making it 13

Answer:sorry its c

Step-by-step explanation:

The mean value of Keisha’s data is 1.333333.

The mean is the average of a set of variables in mathematics and statistics. There are several methods for computing the mean, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations),

We have the data,

0, 1, 0, 2, 2, 1, 3, 0, 4, 0, 1, 2.

So, the mean value of data is

= (0 +1 + 0 + 2 + 2 + 1 + 3 + 0 + 4 + 0 + 1 + 2)/12

= 16/12

= 4/3

= 1.33333

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Answer:

C

Step-by-step explanation:

5 - 1 = 4

5 - 5 = 0

5 - -1 = 6

I hope this helps but the answer most likely is C

Answer:

I think it's letter C ..........

Answer:

Communitive property

Step-by-step explanation:

It's the same if we switch both numbers around

5+3=8

3+5=8

Answer:

a > 14

Step-by-step explanation:

I hope this helps!

The solution to the inequality expression a + 4/2 > 16 is a > 14

The inequality expression is given as:

a + 4/2 > 16

Divide 4 by 2

a + 2 > 16

Subtract 2 from both sides

a > 14

Hence, the solution to the inequality expression a + 4/2 > 16 is a > 14

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Answer:

dogs = 2

cats = 80

Step-by-step explanation:

Here I will assume that cats and dogs are proportional

c = y d, if you substitue, you get

10 = y 4, which rearranged, becomes

y = 10/4 = 2.5

now that we know y, we can work out x and y, the missing dogs and cats

4 = 2.5 d

here, dogs = 2

c = 2.5 * 32

2.5 * 32 = 80

here, cats = 80

Answer:

Step-by-step explanation:

5x - 3 = 2(3x - 5)

5x - 3 = 6x - 10

6x - 5x = 10 - 3

x = 7

QS = 3(7) - 5 = 16 units

PR = 5 × 7 - 3 = 32 units