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Nina [5.8K]
1 year ago
7

A spinner has four equally sized sectors that are numbered 2, 4, 4, and 5. The spinner is spun twice and the product of the outc

omes is found.
A fair decision is to be made about which one of four bushes will be planted.


The bush options are forsythia, lilac, hydrangea or dogwood.


Which description accurately explains how a fair decision can be made in this situation?

If the product of the spins is 8, a forsythia bush will be planted. If the product is 10, a lilac bush will be planted. If the product is 20, a hydrangea bush will be planted. If the product is 4, 16 or 25, a dogwood bush will be planted.

If the product of the spins is 8, a forsythia bush will be planted. If the product is 16, a lilac bush will be planted. If the product is 20, a hydrangea bush will be planted. If the product is 4, 10 or 25, a dogwood bush will be planted.

If the product of the spins is 8, a forsythia bush will be planted. If the product is 16, a lilac bush will be planted. If the product is 25, a hydrangea bush will be planted. If the product is 4, 10 or 20, a dogwood bush will be planted.

If the product of the spins is 8, a forsythia bush will be planted. If the product is 16, a lilac bush will be planted. If the product is 4 or 20, a hydrangea bush will be planted. If the product is 10 or 25, a dogwood bush will be planted.
Mathematics
1 answer:
JulsSmile [24]1 year ago
8 0

Answer:

Umm whats the question

Step-by-step explanation:

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The ratio of Dina's bathing suit to yana is 4:1, if Dina has 24 more bathing suits than yana, how many bathing suits does yana h
Thepotemich [5.8K]
I'd say Yana has 6...

30\ 6 is 5

the ratio range is a group inside 5..

so Dina has 30 swim suits...which is 5 times 6 of yana.

so since Dina has 24 "more" than yana... Dina is 4 : Yana is 1....4:1

5 0
1 year ago
Rhianna is buying a car for $14,390. She has a $1000 trade-in allowance and will make a $1500 down payment. She will finance the
antoniya [11.8K]

Answer:

(a)

Original price for the Car Rhianna buy = $14,390.

Trade in allowance she has =$1000

So, the reduced price= $14,390-$1,000=$13,390.

Now, she make a $1500 down payment initially, so the remaining amount she pay using Auto-Loan is,    $13,390-$1500=$11,890

Therefore, $11,890 money will she borrow in an auto loan.

(b)

To find the monthly(M) auto payment be:

Since the monthly auto payment in 4 year with 2.6% APR(Annual percentage rate)

Now, Monthly Auto payment(M) be :

P=$11,890, Monthly Car payment per $1000 borrowed at 2.6% for 48 months = $21.958

∴ M=$11,890\cdot \frac{21.958}{1000}

On solving we get,  M=$261.082

Therefore, $261.082 will be her monthly auto payment.

(c)

Total amount of interest(A) she will pay ,

A=total payment in 4 years-total loan amount=(\$261.082\cdot 48)-11,890

=$12,531.936-$11,890=$641.936

So, the total amount of interest she will pay is, $641.936

(d)

Rhianna total payment for the car = total payment in 4 years+Down payment=(261.082\cdot 48)+$1500=$12531.936+$1500=$14,031.936

(e)

∵ Rhianna is 22 years female :

From the given Data in the picture:

Rating factor= 1.2  

Liability insurance 50/100/25 , Bodily injury 50/100

Premium= $310 and Property damage 25 : Premium $175  

Collision insurance=$500 deductible:  Premium $148  

Comprehensive insurance= $500 deductible : Premium $85  

Her total annual premium= 1.2\cdot (\$310+\$175+\$148+\$85) = \$861.60

8 0
1 year ago
A flower vendor sells roses for 50 cents each. How much does she pay per flower is she makes $6.00 on every twenty dollars worth
Lelu [443]

One rose is 50 cents, so 2 roses cost $1 ( 50 cents x 2).

2 roses per dollar x 20 dollars = 40 total roses sold.


When they sell $20 dollars they make $6, so that means they pay 20-6 = $14 dollars for the 40 roses.


$14 / 40 roses = 0.35 per rose.

She pays 35 cents per rose.

3 0
1 year ago
A construction worker needs to put in a rectangular window in the side of a building. He knows from measuring that the top and b
maksim [4K]

Answer:

13

Step-by-step explanation:

The diagonals of a rectangle are congruent.

7 0
1 year ago
Which statements are true regarding the relationships between central, inscribed, and circumscribed angles of a circle? Check al
mamaluj [8]

Answer:

# A circumscribed angle is created by two intersecting tangent segments ⇒ true (1st answer)

# The measure of a central angle will be twice the measure of an inscribed angle that intercepts the same arc ⇒ true (3rd answer)

# The measure of a central angle will be equal to the measure of an inscribed angle when the arc intercepted by the inscribed angle is twice as large as the arc intercepted by the central angle ⇒ true (6th answer)

Step-by-step explanation:

* Lets revise the types of angles in a circle

- A circumscribed angle is the angle made by two intersecting

 tangent lines to a circle (it's out side the circle)

- Its measure is half the difference of the measures of the two

 intercepted arcs

- Ex:

∵ AB and AC are tangent to circle M at B and C

∴ ∠A is a circumscribed angle

∴ m∠A = 1/2(m major arc BC - m minor arc BC)

- An inscribed angle is an angle formed by two chords in a circle

  which have a common endpoint, this common endpoint is the

  vertex of it

- Its measure is half the measure of the intercepted arc

Ex:

∵ XY and XZ are two chords in circle M

∴ ∠YXZ is an inscribed angle subtended by arc YZ

∴ m∠YXZ = 1/2 (m arc YZ)

- A central angle is an angle with endpoints located on the

 circumference of the circle and its vertex is the center of the circle

- Its measure is the measure of the intercepted arc

- Ex:

∵ MA and MB are two radii of circle M

∴ ∠AMB is a central angle subtended by the opposite arc AB

∴ m∠AMB = m of arc AB

- The measure of an inscribed angle is half the measure of the

  central angle which subtended by the same arc

- Ex:

∵ ∠ABC is an inscribed angle in circle M subtended by arc AC

∵ ∠AMC is a central angle subtended by arc AC

∴ m∠ABC = 1/2 m∠AMC

∴ m∠AMC = 2 m∠ABC

* Lets solve the problem

- From the facts above:

# A circumscribed angle is created by two intersecting tangent

  segments ⇒ true

# The measure of a central angle will be twice the measure of an

   inscribed angle that intercepts the same arc ⇒ true

- Lets prove the last statement

∵ AMC is a central angle of circle M subtended by arc AC

∴ m∠AMC = m of arc AC ⇒ (1)

∵ XYZ is an inscribed angle of circle M subtended by arc XZ

∴ m∠XYZ = 1/2 m of arc XZ

∵ m of arc XZ is twice m of arc AC

∴ m∠XYZ = m of arc AC ⇒ (2)

- From (1) and (2)

∴ m∠AMC = m∠XYZ

∴ The statement down is true

# The measure of a central angle will be equal to the measure of

   an inscribed angle when the arc intercepted by the inscribed

   angle is twice as large as the arc intercepted by the central

   angle ⇒ true

8 0
1 year ago
Read 2 more answers
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