What is tan 63°? Round your answer to the nearest hundredth.
O A. 0.17
B. 1.96
O C. 0.45
D. 0.89

Answer:

Step-by-step explanation:

a. Y intercept is where the line crosses the y axis, so for l1 it’s (0,4). Answer is 4.

b. Y intercept for l2 is point (0,2). Answer is 2.

c. l1 gradient is -1/2. Rise/run

So l1 equation is y = -1/2x + 4

l2 gradient is 1.

Equation is y = x + 2

e. x+2= -1/2x + 4

1.5x = 2

x = 1.333...

y = plug into one of the equations value of x. So y = 3.333...

f. 1.33+ 2 = 3.33

-1/2 times 1.33 + 4 = 3.33 (rounded)

Answer:

12.52

Step-by-step explanation:

Answer:

24.5

Step-by-step explanation:

7/1 = 7

3.5 x 7 = 24.5

If i'm wrong, I can do it again.

Answer:

300km

[tex]80km \times 3.75hrs = 300km[/tex]

300km

80km \times 3.75hrs = 300km80km×3.75hrs=300km

Answer:

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Step-by-step explanation:

Have a Great Day!!!

Answer:

1:2

Step-by-step explanation:

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Answer:

The pvalue of the test is 0.0083 < 0.1, which means that there is enough evidence to conclude that residents of Legacy Ranch use less water on average

Step-by-step explanation:

The American Water Works Association reports that the per capita water use in a single-family home is 69 gallons per day. Test that the residents use less water.

At the null hypothesis, we test that the mean is 69, that is:

[tex]H_0: \mu = 69[/tex]

At the alternate hypothesis, we test that the mean is less than 69, that is:

[tex]H_a: \mu < 69[/tex]

The test statistic is:

As we have the standard deviation for the sample, we use the t-statistic.

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

69 is tested at the null hypothesis:

This means that [tex]\mu = 69[/tex]

Thirty-six owners responded, and the sample mean water use per day was 64 gallons with a standard deviation of 8.8 gallons per day.

This means that [tex]n = 36, X = 64, s = 8.8[/tex]

Value of the test statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{64 - 69}{\frac{8.8}{\sqrt{36}}}[/tex]

[tex]t = -3.41[/tex]

Pvalue of the test and decision:

The pvalue of the test is the probability of finding a mean less than 64, which is the pvalue of t = -3.41, found on the t-table with 36 - 1 = 35 degrees of freedom on a one-tailed test.

With calculator help, the pvalue is 0.0083.

The pvalue of the test is 0.0083 < 0.1, which means that there is enough evidence to conclude that residents of Legacy Ranch use less water on average

Answer:

Option B and D

Step-by-step explanation:

The complete question is attached

Solution

All f(x) values are not negative hence, option A is incorrect

All g(x) values are the greatest among the three f(x), g(x) and h (x), hence option B is correct

The range of all three functions is different. Hence, option C is incorrect

All h (x) values are negative. Hence, Option D is correct

Answer:

m - 3.2

Step-by-step explanation:

Answer:

y-int:(0,-2)

slope: 5/2

Step-by-step explanation:

slope is rise over run, so you just need to find 2 points (0,-2) and (2,3) and calculate (3-(-2))/(2-0) and get 5/2. y intercept is just the point located at X=0

Answer:

The y-intercept is (0, -2) and the slope is 5/2

Step-by-step explanation:

Answer:

[tex]3)\ x = 8[/tex]

[tex]4)\ x = 12[/tex]

Step-by-step explanation:

Given

The similar triangles

Required

Solve for x

TUV to TLM implies that, the corresponding sides are:

[tex]TU \to TL[/tex]

[tex]TV \to TM[/tex]

[tex]UV \to LM[/tex]

To solve for x, we use the following equivalent ratios

[tex]TV : TM =TU:TL[/tex]

This gives:

[tex]24 : x + 8=36 : 24[/tex]

Express as fraction

[tex]\frac{24 }{ x + 8} =\frac{36 }{ 24}[/tex]

Cross Multiply

[tex]36(x + 8) =576[/tex]

Divide both sides by 36

[tex]x + 8 =16[/tex]

Subtract 8 from both sides

[tex]x = 8[/tex]

FGH to WVU implies that, the corresponding sides are:

[tex]FG \to WV[/tex]

[tex]FH \to WU[/tex]

[tex]GH \to VU[/tex]

To solve for x, we use the following equivalent ratios

[tex]FH : WU =FG:WV[/tex]

This gives:

[tex]x + 3 : 5 = 27 : 9[/tex]

Express as fraction

[tex]\frac{x + 3 }{ 5 }= \frac{27 }{ 9}[/tex]

[tex]\frac{x + 3 }{ 5 }= 3[/tex]

Cross Multiply

[tex]x + 3 = 3 * 5[/tex]

[tex]x + 3 = 15[/tex]

Subtract 3 from both sides

[tex]x = 12[/tex]

Answer:

D

pls mark me as Brainiest  :}

Step-by-step explanation:

Answer:

r = 11 makes 2r - 7 = 15 true.

Step-by-step explanation:

2r - 7 = 15

Add 7 to both sides.

2r = 22

Divide by 2.

r = 11

Proof:

2r - 7 = 15

2(11) - 7 = 15

22 - 7 = 15

15 = 15

b = number of beetles

r = number of birds

s = number of spiders

"She has an equal number of beetles, birds and spiders". That means b = r = s. They all stand in for the same number, and that number being some positive whole number.

One spider has 8 legs, so s of them have 8s legs. One beetle has 6 legs, so b of them have 6b legs. One bird has 2 legs, so r birds have 2r legs.

In total, all of the animals have 6b+2r+8s legs. We'll replace r and s with b, since earlier we were given that b = r = s.

So we end up with:

6b+2r+8s

6b+2b+8b

(6+2+8)b

16b

The number of legs of all the animals is equal to 16 times the number of beetles. Set this equal to 270 and isolate b

16b = 270

b = 270/16

b = 16.875

We run into a problem. It's not possible to have the variable b equal to a non-whole decimal number like this. It's possible your teacher made a typo somewhere. I would ask them for clarification.

Answer:

0.1333 = 13.33% probability that bridge B was used.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Arrives home by 6 pm

Event B: Bridge B used.

Probability of arriving home by 6 pm:

75% of 1/3(Bridge A)

60% of 1/6(Bridge B)

80% of 1/2(Bridge C)

So

[tex]P(A) = 0.75*\frac{1}{3} + 0.6*\frac{1}{6} + 0.8*\frac{1}{2} = 0.75[/tex]

Probability of arriving home by 6 pm using Bridge B:

60% of 1/6. So

[tex]P(A \cap B) = 0.6*\frac{1}{6} = 0.1[/tex]

Find the probability that bridge B was used.

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1}{0.75} = 0.1333[/tex]

0.1333 = 13.33% probability that bridge B was used.

Answer: I think its 1

Step-by-step explanation:

Answe

5

Step-by-step explanation:

Answer:

rsgsadfg

Step-by-step explanation:

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Answer:

C. 60 among 200 students would like Tulip (Assuming pie chart - 15 among 50 students like Tulip)

Step-by-step explanation:

Percent students liking tulip = (Tulip liking students / Total students) x 100

= (15 / 50) x 100 = 30%

Expected students to like Tulip among 200 students =  30% of 200

( 30 / 100 ) x 200

= 60 students

Answer:

it's 353.77

Step-by-step explanation:

V=πr2h

3=π·6.52·8

3≈353.95277

For 11 :

Now , We'll find the Base :

Area of Triangle = 1/2 × b × h :

30.2 = 1/2 × b × 7.2

30.2 = 3.6 × b

30.2 / 3.6 = b

8.3 in = b

Now , we can say that the base is 8.3 in .

For 12 :

Area of Triangle = 1/2 × b × h :

25.5 = 1/2 × 11.1 × h

25.5 = 5.5 × h

25.5 / 5.5 = h

4.6 cm = h

Now , we can say that the height is 4.6 cm .

Answer:

y=-3/4x+5

Step-by-step explanation:

3x+4y>20

4y>-3x+20

y>-3/4x+5

Answer:

d. c = 100; (x – 10)²

Step-by-step explanation:

Note that (x+a)²=x²+2ax+a².

In our case, 2a=-20, so 'a' must be -10.

Since c=a², and a=-10, c=(-10²)=100.

Since a=-10, the perfect square is (x – 10)²