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Leona [35]
1 year ago
5

You have proveGraph the image of rectangle RSTU after a translation 4 units down.

Mathematics
1 answer:
rodikova [14]1 year ago
4 0

After the translation 4 units down

The rule of translation is (x, y) to (x , y-4)

The graph will be as following

============================================================================

For the graph of the triangle:

D = ( 4 , 0) , B = (6 , -2) and C = ( 10 , -2)

it is required to graph after translation 7 units left and 8 units up

So, for each point add ( -7 , 8 )

So,

D' = ( -3 , 8) , B' = (-1 , 6 ) and C' = ( 3 , 6)

the graph will be as following:

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The equation that models the current water temperature t of the swimming pool is t -6=78 which best describes the error made whe
Serga [27]
78! is the answer to this question! trust! -6
3 0
1 year ago
9.4 the tangent ratio<br> please help on #27 and 28
Ilya [14]

Answer/Step-by-step explanation:

27.

✔️Sin 23 = opp/hyp

Sin 23 = t/34

34*sin 23 = t

t = 13.3

✔️Cos 23 = adj/hyp

Cos 23 = s/34

s = 34*cos 23

s = 31.3

28.

✔️Sin 36 = opp/hyp

Sin 36 = s/5

s = 5*sin 36

s = 2.9

✔️Cos 36 = adj/hyp

Cos 36 = r/5

r = 5*cos 36

r = 4.0

29.

✔️Sin 70 = opp/hyp

Sin 70 = w/10

w = 10*sin 70

w = 9.4

✔️Cos 70 = adj/hyp

Cos 70 = v/10

v = 10*cos 70

v = 3.4

6 0
2 years ago
Last year, Susan had 10,000 to invest. She invested some of it in an account that paid 6%
katrin2010 [14]

Answer:

In the account that paid 6% Susan invest \$6,000

In the account that paid 5% Susan invest \$4,000

Step-by-step explanation:

we know that

The simple interest formula is equal to

I=P(rt)

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

Part a) account that paid 6% simple interest per year

in this problem we have

t=1\ years\\ P=\$x\\r=0.06

substitute in the formula above

I1=x(0.06*1)

I1=0.06x

Part b) account that paid 5% simple interest per year

in this problem we have

t=1\ years\\ P=\$10,000-\$x\\r=0.05

substitute in the formula above

I2=(10,000-x)(0.05*1)

I2=500-0.05x

we know that

I1+I2=\$560

substitute and solve for x

0.06x+500-0.05x=560

0.01x=560-500

0.01x=60

x=\$6.000

therefore

In the account that paid 6% Susan invest \$6,000

In the account that paid 5% Susan invest \$4,000

6 0
3 years ago
Help me please explain
Vera_Pavlovna [14]

Answer:

x=6,-4

Step-by-step explanation:

Ok so we know the 2 angles are congruent so you need to set them equal to each other. x^2+5x=7x+24. Then get the x's together so you subtract by 7x to get x^2-2x=24. You would then get 24 on the other side so subtract by 24 to get x^2-2x-24. You then would need to factor the equation out. The factored form would be (x-6)(x+4). Then set it equal to 0 to get 6 and -4.

7 0
2 years ago
A shop has a sale that offers 20% off all prices.On the final day reduce all the sale prices by 25%.Linz buys a radio on the fin
Mrac [35]

Answer:

40%

Step-by-step explanation:

Original price = x

Sale = 20% off

20% / 100 = 0.2 to convert from a percent to a decimal

Sale = x - 20% of x = x - 0.2x = 0.8x

Sale price = y = 0.8x

Reduction of sale prices = 25% = 0.25

Reduction = y - 25% of y = y - 0.25y = 0.75y

End price in terms of original price (x):

0.75y = 0.75(0.8)x

          = 0.6x

End price = 0.6 or 60% of original price, coming out to a 100-60 = 40% overall percentage reduction

5 0
2 years ago
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