Would the mass of a mouse more likely be 150 gram or 150 kilograms

Answer:

y = -⅓x-⅓

Step-by-step explanation:

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Rule:

If cos(A) = sin(B), then A+B = 90

This can be proven through the use of drawing a right triangle with acute angles A and B. Let's say C is the 90 degree angle.

Then note how cos(A) = adjacent/hypotenuse = AC/AB while sin(B) = opposite/hypotenuse = AC/AB. We see that both evaluate to AC/AB. So this confirms cos(A) = sin(B) is true.

The condition that A+B = 90 is from from the fact that any pair of acute angles of a right triangle are complementary angles.

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Using that rule, we can say

cos(77) = sin(theta)

leads to

77+theta = 90

and that solves to

theta = 90-77 = 13

Answer:

Part A. Angle 4 is 115         Part B. angle 7 is 65        Part C angle 3 is 65

Step-by-step explanation: Part A. Is a corresponding angle of 1 and 4         Part B. alternate exterior angle of 2      Part C. corresponding angle of 7

Answer:

its like 4 yrs

Step-by-step explanation:

Answer:

265,248,000 seconds

Step-by-step explanation:

Assumptions are going to be made. No leap years so every year is 365 days, and each month is 30 days. 8x365+5x30=3070 days

24x60x60=86400 seconds in one day

Multiply those two together to get the answer.

Answer:

2

Step-by-step explanation:

Answer:

x = 2.4

Step-by-step explanation:

isolate x \/

x=12/5

12/5 = 2.4

Answer:

i dun know wut u mean by check ur solution but I'll anyways solve it

x=12/5

x=2.4

I hope it helps

Answer:

-1/2

Step-by-step explanation:

Answer:

x<-1

Step-by-step explanation:

5-4x>-x+8

adding 4x to both sides we get

5>3x+8

subtracting eight from both sides we get

-3>3x

dividing by three on both sides we get

-1>x

or x<-1

hope that helps if it does please mark my answer as brainliest.

Answer:

The dimensions of a rectangular prism are 21 in. by 20 in. by 19 in.

To find:

The volume of the rectangular prism.

Solution:

Let the length, breadth and height are 21 in, 20 in and 19 in respectively.

Volume of the rectangular prism is

[tex]V=Length\times Breadth\times Height[/tex]

[tex]V=21\times 20\times 19[/tex]

[tex]V=7980[/tex]

Therefore, the volume of the rectangular prism is 7980 cubic inches.

Answer:

Step-by-step explanation:

The blue section is a right triangle. Use the Pythagorean Theorem to find the hypotenuse.

base of right triangle = 6 cm

height of right triangle = 8 cm

hypotenuse = √(6²+8²) = √100 = 10 cm

Answer:

=1/15

Step-by-step explanation:

Answer:

-1/20

look at the pic i have sent you, this might help you!

Answer:

b=53 degrees

Step-by-step explanation:

90 degrees - 37 degrees = 53 degrees

Answer:

Step-by-step explanation:

Answer:

x²-10x+25

Step-by-step explanation:

expand the expression

(x-5)²

(x-5)(x-5) distribute

x²-5x-5x+25

combine like terms

x²-10x+25

if you get x^2-25 then you're only squaring the x and 5, you have to square the whole equation (x-5)(x-5) is doing (x-5)^2. for example, if you just had (5)^2 you would take the whole "equation" which is 5 and times that equation by itself.

Answer:

4,71cm3

Step-by-step explanation:

calculas el area del circulo. luego lo divides entre 360 que son los grados que tiene el circulo y luego lo multiplicas entre 60 k son los grados de la superficie que te pide

Answer:

B) 4.71 cm², the approximate area of the shaded sector in the circle shown below is 4.71 cm²

Answer:

false

Step-by-step explanation:

half of 60 dollars is 30

think of it as half of 6

Answer:

12

Step-by-step explanation:

Answer:

(30, 90) is a viable solution

(50, 160) is a nonviable solution

Step-by-step explanation:

Answer:

Cost of one Teacup =  $3

Cost of one Roller coaster =  $4

Cost of one Spinning Vortex = $6

Marc spent = 3x + 2y + 2z = $29

Step-by-step explanation:

Let

Cost of one Teacup = x

Cost of one Roller coaster = y

Cost of one Spinning Vortex = z

In Kristen case -

2x + 2y + z = $20

In Jorge case -

x + y + 3z = $25

In Lakesha case -

5x + 2y + z = $29

In Marc case -

3x + 2y + 2z = ?

Now, we have

2x + 2y + z = $20       ......(1)

x + y + 3z = $25         ........(2)

5x + 2y + z = $29      .........(3)

Now,

Subtract equation (1) from equation (3), we get

5x + 2y + z - ( 2x + 2y + z ) = $29 - 20

⇒5x + 2y + z - 2x - 2y - z  = $9

⇒3x = $9

⇒x = $3

Now,

Multiply be 2 in equation (2) , we get

2x + 2y + 6z = $50        ........(4)

Now,

Subtract equation (1) from equation (4), we get

2x + 2y + 6z - ( 2x + 2y + z ) = $50 - 20

⇒2x + 2y + 6z - 2x - 2y - z  = $30

⇒5z = $30

⇒z = $6

Now,

Put the values of x and z in equation (2) , we get

$3 + y + 3($6) = $25

⇒$3 + y + $18 = $25

⇒y + $21 = $25

⇒y = $25 - 21

⇒y = $4

∴ we get

Cost of one Teacup = x = $3

Cost of one Roller coaster = y = $4

Cost of one Spinning Vortex = z = $6

Marc spent = 3x + 2y + 2z = 3($3) + 2($4) + 2($6) = $9 + $8 + $12 = $29

Answer:

It would be 4(X + 3)

Step-by-step explanation:

There are 4 Xs and 12 ones, so the equation is 4X + 12 or 4(X + 3).

Answer:

20 miles.

Step-by-step explanation:

You're on the right track with your answer of 12. You added the sides you knew & multiplied by 2.

I'm picturing the park like a rectangle. So there are two sides that are 3 miles long, and 2 sides that are 2 miles long. For perimeter, we add all the sides.

3 + 3 + 2 + 2 = 10. And he walked the park twice, so 2 x 10 = 20

Answer:

2/8, 5/8

Step-by-step explanation:

[tex]\frac{1}{4}*\frac{2}{2} =\frac{2}{8} \\\\\frac{3}{8} +\frac{2}{8} =\frac{5}{8}[/tex]

Multiplying by 2/2 is like multiplying by 1, so it doesn't affect the value.

To add fractions with the same denominator just add the numerator, the denominator stays the same.

The fraction is 2/8 and the sum is 5/8.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

let the numerator be x when denominator is 8.

so, 1/4 = x /8

8 = 4x

x= 8/4

x= 2

Now, fraction resulted above is added with 3/8

2/8 + 3/8

= (2+3)/8

= 5/8

Hence, the sum is 5/8.

Learn more about fraction here:

https://brainly.com/question/10354322

#SPJ2

Answer:

2/3<9/10; I used 3/4 as a benchmark.

Step-by-step explanation:

2/3<1/2; I used 1/2 as a benchmark.

2/3 = 0.(20/3) = 0.667

1/2 = 0.(10/2) = 0.5

So this is wrong, as 0.667 > 0.5.

1/2=3/5; I used 1/4 as a benchmark.

1/2 = 0.(10/2) = 0.5

3/5 = 0.(30/5) = 0.6

0.5 != 0.6, so this is wrong.

2/3<9/10; I used 3/4 as a benchmark.

2/3 = 0.(20/3) = 0.667

9/10 = 0.(90/10) = 0.9

So this is correct, as 0.667 < 0.9

3/4<2/3; I used 1/2 as a benchmark.

3/4 = 0.(30/4) = 0.75

2/3 = 0.(20/3) = 0.667

0.75 > 0.667, so this is wrong.

Answer:

e. We are 99% confident that the difference in the population percents of all men and women who are fans of a professional football team is between 13.3% and 20.7%.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

In this question:

99% confidence interval for the difference  in the proportion of fans of a professional football team between men and women is of (0.133, 0.207)

The interpretation is that we are 99% sure that the true proportion is in this interval for the entire population, so the correct answer is given by option e.

Answer:

N = -3.36

Step-by-step explanation:

5.6 x N= 2.24

-5.6          -5.6

N= -3.36

Answer:

N= 0.4

Step-by-step explanation:

5.6 x N= 2.24

Divide both sides by 5.6

5.6 and 5.6 cancel out

2.24/5.6= 0.4

Check your work

5.6 x 0.4 =2.24

0.4 is correct

Hope this helps ^-^

Answer:

18

Step-by-step explanation:

2+3(36/6)-2 = 2+3(6)-2 = 2+18-2 = 18

Answer:

18

I don't know what that 8 is about but if you want to solve the equation here is the answer

Step-by-step explanation:

2+3(36/6)-2

2+3(6)-2

2+18-2

18

Answer: 18