Jacob won 62 super bouncy balls playing

How are the two angles below related? Drawing not to scale. Drawing is not to scale.

Phoenix [80]

we know that

Two angles are supplementary if their sum is equal to $180$ degrees

in this problem we have

$Angle\ 1=45\°$

$Angle\ 2=135\°$

so

$Angle\ 1+Angle\ 2=180\°$

therefore

the answer is

The two angles are supplementary

5 0

3 years ago

Read 2 more answers

What is the range of this graph

Arlecino [84]

Answer:

[0,12]

Step-by-step explanation:

7 0

3 years ago

Your principal surprises you by buying your class a turtle. He brings the turtle to your class along with a sheet from the pet s

Nitella [24]

The height of the tank must be at least 1 foot, or 12 inches. We know the floor area (which is length x width) must be at least 400 inches. Therefore these minimum dimensions already tell us that the minimum volume is 400 x 12 = 4800 cubic inches. Since we have a maximum of 5000 cubic inches, the volume must be within the range of 4800 - 5000 cubic inches.

We can set the height at exactly 1 ft (or 12 inches). Then we can select length and width that multiply to 400 square inches, for example, L = 40 inches and W = 10 in. This gives us a tank of dimensions 40 x 10 x 12 = 4800 cubic inches, which fits all the criteria.

7 0

3 years ago

PLEASE HELP WILL GIVE BRAINLIEST!!!!

IrinaVladis [17]

Answer:

The height of the tree is 19.81 m

Step-by-step explanation:

Trigonometric Ratios

The ratios between the sides of a right triangle are called trigonometric ratios.

If any of the acute angles is chosen as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides and the hypotenuse.

The image shows a right triangle with a tree and the ground forming a right angle and an elevation angle of 33°.

This angle of 33° has a side of 30.5 m as its adjacent leg and the height of the tree X as the opposite side.

The trigonometric ratio that relates both legs is the tangent:

$\displaystyle \tan 33^\circ=\frac{X}{30.5}$

Solving for X

$X=30.5\cdot \tan 33^\circ$

Using a calculator:

X = 19.81 m

The height of the tree is 19.81 m

7 0

3 years ago

(Annuity number of periods) You've just bought a new flat-screen TV for $3,400 and the store you bought it from offers to le

AleksAgata [21]

9514 1404 393

Answer:

2.5 years

$736 in interest

Step-by-step explanation:

The relationship between the values in an amortization is ...

A = P(r/12)/(1 -(1 +r/12)^(-12t))

Here, we have A = 140, P = 3400, r = 0.16 and we want to find t

140 = 3400(0.16/12)/(1 -(1 +0.16/12)^(-12t))

1 -(1 +0.16/12)^(-12t) = 1/3.0882353

(1 +0.16/12)^(-12t) = 0.67619048

Taking logarithms gives ...

-12t·log(1 +0.16/12) = log(0.67619048)

t = log(0.67619048)/(-12·log(1+0.16/12)) ≈ 2.46177

It will take about 2.5 years to pay off the loan.

__

The total of payments is ...

(2.46177)(12)($140) = $4135.77

so, the interest paid is ...

$4135.77 -3400 = $735.77

You will pay about $736 in interest over the life of the loan.

_____

Additional comment

The number of payments is calculated to be about 29.54. You would probably make 30 payments, with the last payment being a different amount than $140. The actual amount will depend on when the payment is made, and the amount of it that is finance charge. We believe the remaining balance after 29 payments will be $75. After a full month, the finance charge due on that amount is $1.00, bringing the total amount of interest paid to $736.

If the loan is paid off in the middle of the month, the interest due is reduced. Above, we have calculated interest based on a last payment made part way through the month. We rounded up, partly because of the ambiguity in the final payment.

4 0

3 years ago