3 √ 7 + √ 7 can someone elaborate this for me

Step-by-step explanation:

tan B = AC/BC

tan 35°= AC / 160

0.700 = AC /160

=> AC = 160 × 0.700

AC = 112.00

so, the distance from A to C is 112.00 feet

From the triangle given in the figure,

Since, adjacent side BC of the right triangle ACB is given and we have to find the opposite side AC of angle ABC,

Trigonometric ratio to be used → [tex]\text{tan}\theta = \frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

By substituting these values in the expression,

[tex]\text{tan}(35^{\circ}) = \frac{AC}{160}[/tex]

AC = 160[tan(35)°]

AC = 112.03 feet

               Therefore, distance between A and C is 112.03 feet.

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Answer:

The volume of 1 bucket is 2.4 liters.

Step-by-step explanation:

We know that the volume of 12 buckets is the same as the volume of 9 bottles:

[tex] 12B = 9b [/tex]  

[tex] B = \frac{9}{12}b = \frac{3}{4}b [/tex]   (1)

Where B is for buckets and b is for bottles.

Also, that the total volume of 3 bottles and 5 buckets is 21.6 liters:

[tex] 5B + 3b = 21.6 [/tex]   (2)

We can calculate the volume of 1 bucket by entering equation (1) into (2):

[tex] 5(\frac{3}{4}b) + 3b = 21.6 [/tex]

By solving for "b" we have:

[tex] b = \frac{21.6*4}{27} = 3.2 [/tex]

Now, the volume of 1 bucket is:

[tex] B = \frac{3}{4}b = \frac{3*3.2}{4} = 2.4 [/tex]

Therefore, the volume of 1 bucket is 2.4 liters.

I hope it helps you!

Answer:

m<A = 40°

m<C = 113°

Step-by-step explanation:

Problem 1:

m<A = ½(arc BC) (Inscribed angle theorem)

Substitute

m<A = ½(80°)

m<A = 40°

Problem 2:

Given that m<A = 67°

Recall: angels that are opposite each other in any given inscribed quadrilateral are supplements of each other.

Thus, it implies that:

m<A + m<C = 180°

Substitute

67° + m<C = 180°

Subtract 67° from each side

m<C = 180° - 67°

m<C = 113°

Answer:

y= 3/5x+5

Step-by-step explanation:

The y intercept is 5 and the graph is going upwards so it is a postive slope. If you look at at the graph from the y intercept point to point B you can see it goes up by 3 and right by 5 so the slope is 3/5. This makes the equation y=3/5x+5

Answer:

6/10

Step-by-step explanation:

i think sorry if incorrect

Answer:

The correct answer is [tex]\frac{1}{12}[/tex]

Step-by-step explanation:

I know everyone says this but I just took the test and I got it right :)

Answer:

is it a right angle?

if yes then do u gotta find the hypotenuse or the leg?

Answer: 4 X's on 2 1/2, 3 X's on 3, 2 X's on 3 1/2, 1 X on 4

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

If there are 9 apartnments for everyletter 9 times the four letters is 36

9 * 4 = 36

The total number of apartments if The apartments in Greg's building are named using the letters A, B, C, and D, and the digits 1 through 9, are 36.

A combination is a choice of items from a group of different items, where the order of the choices is irrelevant.

Given:

The apartments in Greg's building are named using the letters A, B, C, and D and the digits 1 through 9,

Calculate the total number of apartments as shown below,

The number of apartments = total number of digits × total number of letters,

The number of apartments = (1, 2, 3, 4, 5, 6, 7, 8, 9) × (A, B, C, D)

The number of apartments = 9 × 4

The number of apartments = 36

Thus, The total number of apartments is 36.

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Answer:

9/25

Step-by-step explanation:

Answer: Use tiger alegbra, or math-way

Answer:

[tex]\displaystyle A = \int\limits^{1.5}_0 {(x + 1)} \, dx + \int\limits^4_{1.5} {(4 - x)} \, dx[/tex]

General Formulas and Concepts:

Algebra I

Calculus

Integrals - Area under the curve

Step-by-step explanation:

Step 1: Define

Identify

y = x + 1

y = 4 - x

y = 0

x = 0

Step 2: Identify Info

Graph the functions - See Attachment

Bounds of Integration: [0, 4]

Point of Intersection: x = 1.5

Step 3: Find Area

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Integration - Area under the curve

Book: College Calculus 10e

Answer:

B) 264 units²

Step-by-step explanation:

Figure 1:

A = 1/2BH

A = 1/2 12(4)

A = 1/2 48

A = 24

Figure 2:

24 - 4 = 20

20 x 12 = 240

Total area:

240 + 24 = 264

Answer:

C and E

Step-by-step explanation:

Answer:

I believe that the answer is

C and E

Answer:

1/3

Step-by-step explanation:

1/3

Step-by-step explanation:

1/6 ÷ 1/2

Copy dot flip

1/6 * 2/1

Multiply

2/6

Reduce

1/3

Answer:

$337.50

Step-by-step explanation:

Given that

The amount is $11,250

And, the sales terms are 5/10, 3/15, n/30

5/10 means if the payment is done within 10 days so 5% discount is given

3/15 means if the payment is done within 15 days so 3% discount is given

And, n/30 means the credit days for payment allowed is 30

Now the cash discount if the invoice is paid on June 20 is

= $11,250 × 3%

= $337.50

Answer:

A conversion factor is a number used to change one set of units to another, by multiplying or dividing. When a conversion is necessary, the appropriate conversion factor to an equal value must be used. For example, to convert inches to feet, the appropriate conversion value is 12 inches equal 1 foot.

Step-by-step explanation:

Answer:

x = 12 , x = 7

Step-by-step explanation:

x-2 = 10

x= 10+2 = 12

x+6 = 13

x=13-6

x=7

Answer:

x = 9.5

If they were separate equations,

x - 2 = 10 ⇒ x = 12

x + 6 = 13 ⇒ x = 7

Step-by-step explanation:

x - 2 + x + 6= 10 + 13

2x + 4 = 23

2x + 4 - 4 = 23 - 4

2x = 19

2x ÷ 2 = 19 ÷ 2

x = 9.5

If they were separate,

x - 2 = 10

x - 2 + 2 = 10 + 2

x = 12

x + 6 = 13

x + 6 - 6 = 13 - 6

x = 7

Answer:

151 students must be selected.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

The population standard deviation is known to be $25.

This means that [tex]\sigma = 25[/tex]

How many students must be randomly selected to estimate the mean weekly earnings of students at one college? Sample mean within $4 of the population mean

This is n for which M = 4. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]4 = 1.96\frac{25}{\sqrt{n}}[/tex]

[tex]4\sqrt{n} = 1.96*25[/tex]

[tex]\sqrt{n} = \frac{1.96*25}{4}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*25}{4})^2[/tex]

[tex]n = 150.1[/tex]

Rounding up:

151 students must be selected.

Answer:

m<E = 60 deg

Step-by-step explanation:

The sum of the measures of the angles of a triangle is 180 deg.

m<E + m<F + m<G = 180

m<E + 75 + 45 = 180

m<E + 120 = 180

m<E = 60

Answer:

60 is the ans

Step-by-step explanation:

let angle E be x

then add all sides of triangle and subtract it from 180 you will get 60 degree as ans

Answer:

उत्तर:

गोलाको आयतन :4851 cm³

⁴/3 πr³=4851

r³=4851×3×7/(22*4)

r³=1157.625

r=[tex] \sqrt[3]{1157.625} [/tex]

r=10.5

अब

गोलाको व्यास=2×r=10.5*2=21cm.

Answer:

43 is answer

Step-by-step explanation:

65+x+2+70=180

137+x=180

x=43

Answer:

A

Step-by-step explanation:

Because x has the degree one and it’s figure at the numerator

9514 1404 393

Answer:

  87.96 in³

Step-by-step explanation:

The volume is given by the formula ...

  V = πr²h

Using the given numbers, we find the volume to be ...

  V = π(2 in)²(7 in) = 28π in³ ≈ 87.96 in³

Answer:

Yes

Step-by-step explanation:

For three side lengths to make a triangle, the two smaller lengths have to add up to be greater or equal to the largest side length.

since 7+8=15, and 15>14, the answer is yes.

Answer:

i think it's 0.66666666666 or 1.5

Answer:

The quotient is 1.5.

Step-by-step explanation:

Answer:

7/24

Step-by-step explanation:

tan = opp/adj

opp = 7

adj = 24

hyp =25

Answer:

62°

Step-by-step explanation: