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Ber [7]
2 years ago
14

Garret makes a ramp for his skateboard in the shape of a right triangle with a hypotenuse of 2 ft, and a leg of 1 ft. He wants t

o use a trigonometric ratio to describe the relationship between these two sides. Select all of the expressions that he could use.
A. sin 30°
B. cos 45°
C. tan 30°
D. sin 45°
E. cos 60°
F. tan 45°
Mathematics
1 answer:
N76 [4]2 years ago
3 0
A.
Explanation.........
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Todor was trying to factor 10x^2-5x+15. He found that the greatest common factor of these terms was 5 and made an area model: Wh
jenyasd209 [6]

Answer:

The width of the area model is equal to

(2x^2-x+3)\ units

Step-by-step explanation:

we know that

The area of a rectangular model is given by the formula

A=LW ----> equation A

where

L is the length

W is the width

we have

A=10x^2-5x+15

Factor the expression

A=5(2x^2-x+3)

substitute the value of the Area in the equation A

5(2x^2-x+3)=LW

In this problem

The greatest common factor of these terms is the length (L=5 units)

so

we can say that the width is equal to (2x^2-x+3)

therefore

The width of the area model is equal to

(2x^2-x+3)\ units

4 0
2 years ago
A 63 liter mixture contains milk and water in a ratio of 4:5. then x liters of milk and y liters of water are added to the mixtu
KatRina [158]

Answer:

X+y=237Litres

Step-by-step explanation:

Let a be mixture of milk and water.

Let x =milk

Let y= water

z = x+y

Final volume of mixture =63litres + z

5/12(3+z))+60=8/15(63-z)

z =x+y= 237litres

4 0
2 years ago
Margaret and Bethany have a lemonade stand for one week each summer.
Monica [59]

Answer:

6.00

Step-by-step explanation:

5 0
2 years ago
If AD = 2/3 AB , what is the ratio of the length of arc BC to the length of arc DE
uysha [10]

You have :

--------------

DE arc = ( pi ) ( AD ) ( 2.36 radians / 2 pi radians ) = ( 2/3 ) ( AB ) ( 2.36 radians / 2 )

DE arc = ( 2/3 ( AB ) ( 1.18 radians )

BC arc = ( pi ) ( AB ) ( 1.18 radians / 2 pi radians )

BC arc = ( AB ) ( 0.59 radians )

BC arc / DE arc = ( AB ) ( 0.59 radians ) / ( 2/3 ) ( AB ) ( 1.18 radians )

BC arc / DE arc = ( AB ) ( 0.59 rad ) / ( 2/3 ) ( AB ) ( 1.18 rad )

BC arc / DE arc = ( 3/2 ) ( .59 rad / 1.18 rad ) = 3/4 <-------

6 0
2 years ago
Read 2 more answers
Susan and ronald dugan agreed upon the price of 256,000 for their new home. They plan to make 30 percent down payment and financ
Eduardwww [97]

Answer:

The total amount to be paid for new home is $838,014.72  

Step-by-step explanation:

Given as :

The price of the new house = $256,000

The down payment amount = 30% of house price

So, The down payment price =  30% of $256,000

i.e The down payment price =  \dfrac{30}{100} × 256000

Or, The down payment price = $76,800

Now, rest amount is finance

So, The finance Amount = p = $256000 - $76800 = $179,200

The rate of interest applied = r = 7.5%

The time period of finance = t = 20 years

Let The Amount after 20 years of finance = $A

Let The total amount to be paid for new home = $B

<u>Now, From Compound Interest </u>

Amount = Principal × (1+\dfrac{\textrm rate}{100})^{\textrm time}

Or, A = p × (1+\dfrac{\textrm r}{100})^{\textrm t}

Or, A = $179,200 × (1+\dfrac{\textrm 7.5}{100})^{\textrm 20}

Or, A = $179,200 × (1.075)^{\textrm 20}

Or, A = $179,200 × 4.24785

∴  A = $761,214.72

So,The Amount after 20 years of finance = A = $761,214.72

<u>Now, Again</u>

The total amount to be paid for new home = Down payment amount + The Amount after 20 years of finance

Or, B = $76,800 + A

Or, B = $76,800 + $761,214.72

Or, B = $838,014.72

So, The total amount to be paid for new home = B = $838,014.72

Hence, The total amount to be paid for new home is $838,014.72  Answer

7 0
2 years ago
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