A rope with a length of 3.5 meters is tied from a stake in the ground to
the top of a tent. It forms a 17 degree angle with the ground. How tall
is the tent?

9514 1404 393

Answer:

  positive

Step-by-step explanation:

When considering the slope of a line, we usually choose "rise" and "run" so that "run" is positive, and "rise" measures the vertical change as one moves from left to right.

If we assume that "downhill" lines refers to lines that go from upper left to lower right (downhill to the right), then the rise is negative while the run is positive.

__

Additional comment

Here, we assume a line is considered to be "downhill" if it has negative slope. In the real world, "downhill" is the direction the ball rolls under the influence of gravity. That direction might be behind you, or to your left, instead of in front of you or to the right.

Definitions are important in math. "Downhill" is not a term that is widely used to describe lines, so we have to guess the intended meaning here.

[tex]\huge\bf{\color{Green}{Question:}}[/tex]

[tex]\huge\bf{\color{orange}{Solution:}}[/tex]

Volume of the solid given = Volume of the small cone + Volume of the large cone.

[tex]\sf{V(solid)=V(small)+V(large)}[/tex]

[tex]\sf{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{3}π(5)²7+\frac{1}{3}π(5)²11}[/tex]

[tex]\sf{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:=\frac{25}{3}π(7+11)}[/tex]

[tex]\sf{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:=\frac{25}{3}π(18)}[/tex]

[tex]\sf{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:=150π}[/tex]

[tex]\sf{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:≈{\color{magenta}{471.2 in³}}}[/tex]

#Hope it helps you, mate!

(*°∀°)=3

Answer:

h(2) = 7/4

h(-3) = -2

h(-2) = 11/(-8)

h(-3) - h(-2) = -(5/8)

Step-by-step explanation:

h(x) = (2x^2-x+1) / (3x-2)

h(2) = (2*2^2 - 2 + 1) / (3*2 - 2)

       = (8 - 2 + 1) / (6 - 2)

       = 7/4

h(-3) = {2*(-3)^2 - (-3) + 1} / {3*(-3) - 2}

        = (18 + 3 + 1) / (-9 - 2)

        = 22/(-11)

        = -2

h(-2) = {2*(-2)^2 - (-2) + 1} / {3*(-2) - 2}

        = (8 + 2 + 1) / (-6 - 2)

        = 11/(-8)

h(-3) - h(-2) = (-2) - {11/(-8)}

                  = -(5/8)

Hope this will help. Please give me brainliest.

[tex]h(3) - h( - 2) = - \frac{5}{ 8} \\ \\ [/tex]

[tex]\boxed{h(x) = \frac{2 {x}^{2} - x + 1}{3x - 2}}[/tex]

[tex]h(2) = \frac{2 {(2)}^{2} - (2) + 1}{3(2) - 2} [/tex]

[tex]h(2) = \frac{2 {(4)} - 2 + 1}{6 - 2} [/tex]

[tex]h(2) = \frac{ 8 - 1}{4} [/tex]

[tex]h(2) = \frac{7}{4}[/tex]

[tex]h( - 3) = \frac{2 {( - 3)}^{2} - ( - 3) + 1}{3( - 3) - 2} \\ h( - 3) = \frac{2 (9) + 3 + 1}{ - 9- 2} \\ h( - 3) = \frac{18 + 4}{ - 11} \\ h( - 3) = \frac{22}{ - 11} \\ h(-3) = -2[/tex]

[tex]h( - 2) = \frac{2 {( - 2)}^{2} - ( - 2) + 1}{3( - 2) - 2} \\ h( - 2) = \frac{2 (4) + 2+ 1}{- 6 - 2} \\ h( - 2) = \frac{8 + 3}{- 8} \\ h( - 2) = \frac{11}{- 8} [/tex]

[tex]h(3) - h( - 2) = -2 - \frac{11}{- 8} \\=-2 + \frac{11}{ 8} \\ =- \frac{5}{ 8} [/tex]

Answer:

1,94,658km

Step-by-step explanation:

If you are talking about how much distance it has to travel in 1 second then you can simply subtract 1,05,342 from 3,00,000. This process gives total of 1,94,658km remaining for it to travel.

Goodluck

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

Explanation:

The domain is the set of allowed x inputs. We can plug in any x value we want as the graph stretches on forever to the left and to the right. There aren't any division by zero errors or any issues like that to worry about, so that's why we don't kick out any x values from the domain.

The domain being all real numbers translates to the interval notation [tex](-\infty, \infty)[/tex] which is basically saying [tex]-\infty < x < \infty[/tex]

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

The range is the set of y outputs possible. The graph shows that y = 1 is the smallest y output, so y = 1 or y can be greater than this.

In short, [tex]y \ge 1[/tex] is the range which converts to the interval notation [tex][1, \infty)[/tex] which is the same as saying [tex]1 \le y < \infty[/tex]

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

Extra info:

The equation of this absolute value function is y = |x|+1

Answer:

Jonah should shade 6 parts of 10 equal parts to show 3/5.

Hope this helps! :)

Answer:

Right

Step-by-step explanation:

360/4 = 90

90° is a right angle

Answer: (a) = 110 degrees, (b) = 8

If I understand the picture correctly, (a) wants you to find the angle K. It first shows us that both J to K, and L to K are equal in length of 11, thus there is no deviation in angle 35 degrees with L (so they both equal each other). Therefore, the angle K will equal 180 degrees subtracted by the sum of J and L, which is 110 degrees.

For (b), it appears that all the angles have the same singular mark at the edges, so all sides will equal 8.

I hope this helped!

Answer:

0.83333333333

Step-by-step explanation:

One-half plus one-third equals 5/6 or 0.8333.

Given that:

Expression: 1/2 + 1/3

To add one-half (1/2) and one-third (1/3), to find a common denominator and then add the fractions together.

The least common denominator (LCD) of 2 and 3 is 6. To convert the fractions to have a common denominator of 6, multiply the numerator and denominator of 1/2 by 3, and the numerator and denominator of 1/3 by 2:

1/2 × 3/3 = 3/6

1/3 × 2/2 = 2/6

Now that the fractions have a common denominator of 6, add them:

3/6 + 2/6 = 5/6

3/6 + 2/6 = 0.8333

Therefore, one-half plus one-third equals 5/6 or 0.8333.

Learn more about Divisor here:

https://brainly.com/question/30925934

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Answer:

Step-by-step explanation:

i cant see the answer

6x + x/2

Which algebraic expression best represents this word phrase?

The sum of six times a number and the quotient of that number and two

Answer:

135º

Step-by-step explanation:

Total parts

5 + 8 + 12 + 15 = 40

Value of each part; 360º in a quadrilateral

360 / 40 = 9

Largest angle

15 * 9 = 135º

Answer:

a. 105.84 cm²

b. 136 cm²

Step-by-step explanation:

a. The prism is a cube

Surface area of the cube = 6a²

a = 4.2 cm

Plug in the value

Surface area = 6*4.2²

Surface area = 105.84 cm²

b. The prism is a triangular prism

Surface area of triangular prism = bh + L(s1 + s2 + s3)

b = 6 ft

h = 4 ft

L = 7 ft

s1 = 5 ft

s2 = 5 ft

s3 = 6 ft

Surface area = 6*4 + 7(5 + 5 + 6)

Surface area = 24 +7(16)

Surface area = 24 + 112

Surface area = 136 cm²

A rectangle has sides of 9 cm and 12 cm long. What is the perimeter of the rectangle?

Answer:-42 cm

Answer:42cm

Step-by-step explanation:

formula=2l+2w

2 (9)+2 (12)

18+24= 42cm

Answer:

bro im not going to download that pdf

Step-by-step explanation:

Answer:

I love Math anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

Move the variable to the left hand side and change its sign.

5 - 2x + 4x = -7

Collect like terms.

- 2x + 4x = - 7 - 5

2x = - 7 - 5

Calculate the difference.

2x = -12

Divide both sides.

x = -6

Answer: $1260

Step-by-step explanation:

Based on the information given, Abby's gross income for the month if her sales were $12500 will be:

= $1000 + (1% × $8000) + [4% × ($12500 - $8000)]

= $1000 + (0.01 × $8000) + (0.04 × $4500)

= $1000 + $80 + $180

= $1260

Her gross income is $1260

Answer:

3/10 30%.3

hooe its write

Answer:

b. x^4 varies directly as y.

Step-by-step explanation:

x^4 = 7×y

x^4 is proportional to y.

Answer:

A

Step-by-step explanation:

It's only slightly bigger than 90 degrees, so 110 is the only plausible conclusion

Answer:

110

Step-by-step explanation:

Answer:

30 and 60

Step-by-step explanation:

Let x represent the first angle

(x) the sum of the first angle plus twice of the second angle 2(90 - x)

x + 180 - 2x = 150

180 - 150 = 2x - x (we export like terms to the same side of the equation)

30 = x is the measure of the first angle and since the second angle is complementary to this the measure of the second angle is 90 - 30 = 60

Answer:

4

Step-by-step explanation:

21 - 4 × ❒ = 5

-4x = 5 - 21

-4x = 16 (divide both sides)

x = 4

Answer:

108

Step-by-step explanation:

3 yards equal 9 feet and 1 foot equals 12 inches so that means do 12 x 9 and you get 108

The correct option is A.

Feet ÷ 3 = 1 yards. yard is 3 feet long, so all you have to do is divide the number of feet by 3 to get the number of yards for your measurement

We know that,

1 feet is equal to 12 inches.

1 feet = 12 inches.

1 yard = 36 inches.

3 yards = 36 × 3 = 108 inches.

3 yards = 108 inches.

Therefore, 108 inches are there in 3 yards.

Learn more about yard and inches here:

https://brainly.com/question/31327558

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Answer:

D

Step-by-step explanation:

area times height dived by 3

note that the radius is 8

Answer:

D. [tex]\frac{512}{3}\pi[/tex] ≈ 535.9 m³

Step-by-step explanation:

Formula = πr²* h/3

Volume = π * 64 * 8/3

Volume = π * 512/3 = 535.89 ≈ 535.9

Answer = D. [tex]\frac{512}{3}\pi[/tex] ≈ 535.9m³

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

(18/5, 0) is the x intercept

(0,-2) is the y intercept

Step-by-step explanation:

-5x+9y = -18

Set y = 0 and solve for x to find the x intercept

-5x +0 = -18

Divide each side by -5

x = -18/-5

x = 18/5

(18/5, 0) is the x intercept

Set x = 0 and solve for y to find the y intercept

0 +9y = -18

Divide each side by 9

y = -18/9

y = -2

(0,-2) is the y intercept

Answer:

x- intercept is 18/5

y- intercept is -2

Step-by-step explanation:

See image below:)