The width of a rectangle is 7 feet and the diagonal legnth of the rectangle is 11 feet. Which measurement is closest to the length of this rectangle in feet?

Answer:

Sin 18° = cos 72° and sin 72° = cos 18°

Step-by-step explanation:

According to trigonometry identity;

sin Ф = cos(90 - Ф)

for Sin 18° = cos 72

Ф = 18°

Substitute into the expression

sin Ф = cos(90 - Ф)

sin 18 = cos(90 - 18)

Sin 18 = cos 72

Hence the statement id true

For sin 72° = cos 18

Ф = 72°

Substitute into the expression

sin Ф = cos(90 - Ф)

sin 72 = cos(90 - 72)

Sin 72 = cos 18

Hence this statement too is correct

The two correct statements are Sin 18° = cos 72° and sin 72° = cos 18°

Answer:

6)7x + 60

Step-by-step explanation:

6 x 7 = 42

Therefore 6(7x = 6 times 7x

Hope this helps

have a wonderful day

Answer:

the answer is D.

Step-by-step explanation:

Answer:

If the denominators are not the same: First, make them the same. Then add or subtract like fractions with the same denominators.

Step-by-step explanation:

the first step when multiplying fractions is to multiply the two numerators. the second step is to multiply the two denominators.  simplify the new fractions. the fractions can also be simplified before multiplying by factoring out common factors in the numerator and denominator.

to add or subtract fractions they must have the same denominator. if the denominators are already the same then it is just a matter of either adding or subtracting the numerators if the denominators are difrent then a common denominator needs to be found.

Answer:

I'd say the first one, it is most common for states to have four or fewer roller skating rinks.

Have a lovely day/night! <3

Answer:

96

Step-by-step explanation:

yeee

Answer: Number 9: x = 20, Number 10: x = 65

Step-by-step explanation:

Number 9:

3x + 10 = 90 - x

3x + x = 90 - 10

4x = 80

80 / 4

x = 20

Number 10:

2x + 15 = 145

2x + 15 - 15 = 145 - 15

2x = 130

2x / 2 = 130 / 2

x = 65

Answer:

12 23

Step-by-step explanation:

that = up to 35

Answer:

2(3x+4)

Step-by-step explanation:

Multiply the 2 by the 3x to get 6x

Multiply the 2 by the 4 to get 8

Add 6x and 8

6x+8

Answer:

B. 2(3x+4) is correct

Step-by-step explanation:

2*3x= 6x and 2*4= 8 so you have all ur terms

Answer:

-13 is less than zero in the options

Answer:

d

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m

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like

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Answer:

Difference in total payback = $5734.64

Step-by-step explanation:

Formula for the simple interest payout,

Interest = [tex]\frac{P\times r\times t}{100}[/tex]

P = Principal amount of loan

r = rate of interest (Annually)

t = Duration for the payment

Interest = [tex]\frac{18000\times 14.5\times 5}{100}[/tex]

             = $13050

Total payable amount = 18000 + 13050

                                     = $31050

Formula for the amount payable with compound interest,

Final amount = [tex]\text{Initial amount}(1+\frac{r}{n})^t[/tex]

Here, t = Duration of investment

r = rate of interest (Annual)

n = Number of compounding per year

Payable amount = [tex]18000(1+\frac{0.089}{1})^4[/tex]

                           = 18000(1.089)⁴

                           = $25315.36

Difference in total payback = $31050 - $25315.36

                                              = $5734.64

If Lucas takes the 5-year payment plan he will end up paying $31,050. If Lucas takes the 4-year payment plan he will end up playing $24,408. Hope it helps.

Answer:

f(x) = (x + 5)²

Step-by-step explanation:

f(x) = x² + 10x + 25 = (x + 5)²

y = a (x - h)² + k         vertex: (h , k)

a = 1      h = -5      k = 0

  Answer:

C

Step-by-step explanation:

Answer:

The fourth choice.

Step-by-step explanation:

An exponential function passes through (3, 5) and (4, 10).

And we want to determine which other point is also on the graph.

First, we can find the exponential function. A standard exponential function is in the form:

[tex]y=a(b)^x[/tex]

The point (3, 5) tells us that y = 5 when x = 3. Thus:

[tex]5=a(b)^3[/tex]

The point (4, 10) tells us that y = 10 when x = 4. Thus:

[tex]10=a(b)^4[/tex]

In the first equation, we can divide both sides by a:

[tex]\displaystyle \frac{5}{a}=b^3[/tex]

And we can rewrite the second equation:

[tex]\displaystyle 2(5)=a(b^4)\Rightarrow 2\Big(\frac{5}{a}\Big)=b^4[/tex]

Substitute:

[tex]2b^3=b^4[/tex]

Divide:

[tex]b=2[/tex]

Using the first equation again, substitute:

[tex]5=a(2)^3[/tex]

Simplify and solve:

[tex]5=a(8)\Rightarrow \displaystyle a=\frac{5}{8}[/tex]

So, our exponential function is:

[tex]\displaystyle y=\frac{5}{8}(2)^x[/tex]

Next, we can simply try each point and see which point is correct.

Testing the first point (remember that (2,0) means that y = 0 when x = 2):

[tex]\displaystyle 0\stackrel{?}{=}\frac{5}{8}(2)^0=\frac{5}{8}(1)=\frac{5}{8}\neq 0[/tex]

Testing the second point:

[tex]\displaystyle 1\stackrel{?}{=}\frac{5}{8}(2)^2=\frac{5}{8}(4)=\frac{5}{2}\neq 1[/tex]

The third point:

[tex]\displaystyle 15\stackrel{?}{=}\frac{5}{8}(2)^5=\frac{5}{8}(32)=5(4)=20\neq 15[/tex]

And the fourth point:

[tex]\displaystyle 20\stackrel{?}{=}\frac{5}{8}(2)^5=\frac{5}{8}(32)=5(4)=20\stackrel{\checkmark}{=}20[/tex]

Therefore, D is the correct choice.

Answer:

(2,0)

Step-by-step explanation:

The answer is (2,0) because the number line passes through that point

Answer:

56 large envelopes

Step-by-step explanation:

160/20 = 8 packages

8 x 7 = 56 large ones

Answer:

13 bottles of apple juice and 2 bottles of orange juice.

i think :))

Step-by-step explanation:

I HOPE THIS HELPS YOU OUT WITH YOUR QUESTION! PLZ LET ME KNOW IF IT DID! IT MAKES ME FEEL GOOD THAT SOMEONE APPRECIATES IT! ANYWAY, IF YOU HAVE A FEW MINUTES PLZ GOT TO MY PROFILE AND THANK MY ANSWERS (THE MORE THE MERRIER)

Answer:

A.)

the correlation between the number of hours students spent studying and the score on the science test seems to be that the people who spent more time studying got a better score than the people who didn't/ did less.

B.)

y = a - b ^x

a = 57

b = 5

because every .5 hours adds 5 points to the score

y = 57 (5) ^x

and as a function

F(x)= 57(5)

C.)

slope: 10

y / x

5 / 0.5

= 10

y-intercept: 57

x is 0 and y is 57 that is the y-intercept

it has a positive slope.

Answer:

x = 4

Step-by-step explanation:

[tex]\frac{5x -2 }{2} = 9 \\[/tex]

Cross multiply,

5x - 2 = 9*2

5x - 2 = 18   {Add 2 to both sides}

    5x = 18 +2

   5x = 20        {Divide both sides by 5}

     x = 20/5

   x = 4

Answer:

59180

Step-by-step explanation:

Reduce 118/360 to lowest terms

The simplest form of 118360 is 59180.

I hope this helps   :)

Answer:

You forgot to fully write the question

Step-by-step explanation:

(灬 º‿º 灬) ♡

Answer:

17

Step-by-step explanation:

Answer: $285

Step-by-step explanation:

Let the installation fee be represented by x.

Therefore, the equation to solve the question will be:

= x + 6w

where,

x = installation cost

w = number of weeks

x + 6w = 345

x + 6(10) = 345

x + 60 = 345

x = 345 - 60.

x = 285

Therefore, the installation fee is $285

Answer:

112 visitors

Step-by-step explanation:

Given the prediction equation :

y = 7x + 42

x = temperature

y = number of visitors (customers)

Number of visitors when temperature is 10 degree

y = 7(10) + 42

y = 70 + 42

y = 112

Hence, the model predicts that 112 customers will visit when temperature is 10 degrees

Answer:

5. m<1 = 114 degrees

   m<2 = 66 degrees

6. 2x + 3x + 4x = 9x = 180, x = 20

7. 3

8. 1/3

Hope that helps!

-scsb

Step-by-step explanation:

Answer:

66

20

3

1/3

Step-by-step explanation: Can I get brainliest? Thanks!

5. m∠2 = 180-59-55 = 66

m∠1 = 180-66 = 114

6. 2x+3x+4x=180

x(2+3+4)=180

x(9)=180

x=180/9=20

Plug back in to check:

2(20)+3(20)+4(20)=40+60+80=180

7. (3,8) to (9,24)

(9,24)/(3,8) = (3,3) so scale factor = 3

8. (12,15) to (4,5)

(4,5)/(12,15) = (1/3,1/3) so scale factor = 1/3