what is the angle of elevation of the sun when the shadow of a pole of 18m high is 6√3m long? ( i need step by step explanation pls I'm having a class test tmr pls help)​

Answer:

y=51, z and x= 129

Step-by-step explanation:

its complicated, but try to think of it as 51 and x/z are complementary angles, meaining they are on the same line, which means they equal 180, which makes this easier to solve meaning all you have to do is subtract 180-51=129.

Answer:

The correct polynomial is F. Calculation errors combining h terms and distributing -1.

Step-by-step explanation:

[tex]( - 4h + 3)( {h}^{2} + 9h - 1)[/tex]

[tex] - 4 {h}^{3} - 36 {h}^{2} + 4h + 3 {h}^{2} + 27h - 3[/tex]

[tex] - 4 {h}^{3} - 33 {h}^{2} + 31h - 3[/tex]

Answer:

10⁵ / 10³ = 10^(5-3)= 10²

while diving the power gets subtracted if they have same base

Answer:

900+250-100=1050

Step-by-step explanation:

computer cost plus printer cost subtracting his current amount equals the total amount left he needs to pay for both of the appliances.

Answer:

Yes

Step-by-step explanation:

The only relevant information is each side of the pentagonal pyramid is 9 years and so the perimeter of the base is 45 since 9 x 5 = 45 yards.

Answer:

137 m²

Formula's:

Explanation:

⇒ area of rec + area of rec + area of rec + area of triangle

⇒ 2 * 4 + 7 * 6 + 8 * 9 + 1/2 * 6 * 5

⇒ 8 + 42 + 72  + 15

⇒ 137 m²

Answer:

137 m²

Step-by-step explanation:

Divide the figure into a triangle and 3 rectangles (see attached diagram)

Formulae

Triangle 1

⇒ area = 1/2 x (8 + 7 + 2 - 4 - 7) x 5

            = 1/2 x 6 x 5

            = 15 m²

Rectangle 2

⇒ area = 4 x (2 + 7 + 8)

            = 4 x 17

            = 68 m²

Rectangle 3

⇒ area = 2 x (7 + 8)

            = 2 x 15

            = 30 m²

Rectangle 4

⇒ area = 3 x 8

            = 24 m²

Total area

⇒ Total area = triangle 1 + rectangle 2 + rectangle 3 + rectangle 4

                      = 15 + 68 + 30 + 24

                      = 137 m²

Answer:

I think the answer is 792

Answer:

SA = 696cm^2

Step-by-step explanation:

First we need to identify the shapes

There are 3 rectangles and 2 triangles

Now the individual surface area for each shape

20 x 10 = 200 (1 rectangle)

1/2(12 x 8) = 48 (1 triangle)

Now we add them together

(200 x 3) + (48 x 2) = 696

The central angle has a measure of radians calculated by the formula for radian measure is 1.75 radians.

The formula for radian measure to calculate the central angle is given as,

[tex]\theta=\dfrac{s}{r}[/tex]

Here, (r) is the radius of the circle and (θ) is the central angle.

In a circle having a radius of 12 cm and intercepting an arc of 21 cm. Put the value of radius and the length of the arc in the above formula as,

[tex]\theta=\dfrac{21}{12}\\\theta=1.75[/tex]

Thus, the central angle has a measure of radians calculated by the formula for radian measure is 1.75 radians.

Learn more about the radian measure formula here;

https://brainly.com/question/12939121

Answer:1.75 radians

Step-by-step explanation: edge

Answer:

Step-by-step explanation:

Log Rules

Givens

1/2 log (x)

log (x)^(1/2)

2 log(2y)

log(2y)^2

log(2^2y^2)

log(4y^2)

3 log(z)

log(z^3)

Solution

log(x)^(1/2) * log(z^3) / log(4 y^2)

Answer: log(x^1/2)*(z^3)/(4y^2)

Answer:

a=tir

a=7×3.14

a=21.98

area=21.98 square feet

Answer:

∠ BCD = 44°

Step-by-step explanation:

the secant- tangent angle BCD is half the difference of the intercepted arcs, so

∠ BCD = [tex]\frac{1}{2}[/tex] (EB - BD) = [tex]\frac{1}{2}[/tex] (171 - 83)° = [tex]\frac{1}{2}[/tex] × 88° = 44°

Answer:

Chose Cosine

Step-by-step explanation:

This is because cos = adj/hyp

Hope this helps!!!

Answer:

the fourth graph, bottom left, is the correct one

Step-by-step explanation:

the line, also known as a line of best fit is best graphed to make sure that it covers all of the points, not including outliers. You want to make sure that the line of best fit has an fairly similar amount of points on either side, but there may be one or two outliers that are way far apart; you shouldn't need to worry about them.

Answer:

7.235 cm

Step-by-step explanation:

Pythagorean theory

A^2 + B^2 = C^2

A = 4.7

B = 5.5

4.7^2 + 5.5^2 = C^2

22.09 + 30.25 = C^2

√52.34 = √C^2

7.235 cm ≈ C

Answer:

a,c,e.

Step-by-step explanation:

2x+3x+4(2) is 5x+8. C is also. 2(2x) is 4x. 2(4) is 8. Add x is 5x+8

Answer:

Step-by-step explanation:

The required area is between 9+3 = 12 feet and 9 feet radius circles.

Find the area:

Answer:

tanC = [tex]\frac{12}{5}[/tex]

Step-by-step explanation:

tanC = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{36}{15}[/tex] = [tex]\frac{12}{5}[/tex]

(.25x)+5 ≤10 or .25x ≤5 i believe both should work.

20 is how many toppings....

you need four quarters to make a dollar and honestly i just counted with my fingers even though i could have just multiplied 5 x 4

sorry for missing the inequality part at first.........

Answer:

7-720= -714

Step-by-step explanation:6x2=12 60x12=720 so thats the brackets then substract from seven to get the answer -714

Answer:

a) organized-

3,4,5,6,6,7,9,28

median is 6

68/8=8.5

the mean is 8.5

b) the median, because there is an outlier

Answer:

1/18

Step-by-step explanation:

Use the counting principle to find the total number of different sandwiches you can make.

2 breads

3 meats

3 condiments

Total number of different sandwiches = 2 × 3 × 3 = 18

There are 18 possible sandwiches.

You are intereseted in 1 specific sandwich out of the 18.

p(wheat bread, ham, mustard) = 1/18

1/18 is the probability that you will make a sandwich with wheat bread, ham, and mustard.

A number is an arithmetic value used to represent quantity.

We can use the counting principle to find the total number of ways to make different sandwiches.

2 breads, 3 meats, and 3 condiments.

Total number of sandwich varieties = 2* 3* 3 = 18

There are 18 possible sandwiches.

You're only interested in one of the 18 sandwich varieties.

i.e.   p(wheat bread, ham, mustard) = 1/18

Hence, the probability that you will make a sandwich with wheat bread, ham, and mustard is 1/18.

To learn more about number, use the link given below:

https://brainly.com/question/17429689

#SPJ2

Answer:

5/72

Step-by-step explanation:

I am pretty sure its right

Answer:

3) $12.50

Step-by-step explanation:

12.50(1) = 12.50
Hope this helps :)

The function P(x) = -65(x - 4)² + 1000 of Dairy queen is an illustration of quadratic functions

Dairy queen should price their blizzards at $4, and the estimated maximum profit is $1000

The function is given as:

P(x) = -65(x - 4)² + 1000

At zero profit, P(x) = 0

So, we have:

-65(x - 4)² + 1000 = 0

From the graph of the function (see attachment), we have:

x = 0.078 and x = 7.922

Hence, the prices that give zero profit are 0.078 and 7.922

To maximize profit, Dairy Queen should their blizzards at a price that yields maximum profit

We have:

P(x) = -65(x - 4)² + 1000

A quadratic function is represented as:

P(x) = a(x - h)² + k

Where:

Vertex = (h,k)

So, we have:

h = 4 and k = 1000

Hence, Dairy queen should price their blizzards at $4, and the estimated maximum profit is $1000

Read more about quadratic functions at:

https://brainly.com/question/4820005

Answer:

[tex]\sf -11+7\sqrt{2}[/tex]

Step-by-step explanation:

Given expression:

[tex]\sf \dfrac{3-\sqrt{32}}{1+\sqrt{2} }[/tex]

Rewrite 32 as 16 · 2:

[tex]\sf \implies \dfrac{3-\sqrt{16 \cdot 2}}{1+\sqrt{2} }[/tex]

Apply radical rule [tex]\sf \sqrt{a \cdot b}=\sqrt{a}\sqrt{b}[/tex]

[tex]\sf \implies \dfrac{3-\sqrt{16}\sqrt{2}}{1+\sqrt{2} }[/tex]

As [tex]\sf \sqrt{16}=4[/tex]:

[tex]\sf \implies \dfrac{3-4\sqrt{2}}{1+\sqrt{2} }[/tex]

Multiply by the conjugate:

[tex]\sf \implies \dfrac{3-4\sqrt{2}}{1+\sqrt{2} } \times \dfrac{1-\sqrt{2} }{1-\sqrt{2} }[/tex]

[tex]\sf \implies \dfrac{(3-4\sqrt{2})(1-\sqrt{2})}{(1+\sqrt{2})(1-\sqrt{2})}[/tex]

[tex]\sf \implies \dfrac{3-3\sqrt{2}-4\sqrt{2}+4\sqrt{2}\sqrt{2}}{1-\sqrt{2}+\sqrt{2}-\sqrt{2}\sqrt{2}}[/tex]

As [tex]\sf \sqrt{2}\sqrt{2}=\sqrt{4}=2[/tex]:

[tex]\sf \implies \dfrac{3-3\sqrt{2}-4\sqrt{2}+4 \cdot 2}{1-\sqrt{2}+\sqrt{2}-2}[/tex]

[tex]\sf \implies \dfrac{3-7\sqrt{2}+8}{1-2}[/tex]

[tex]\sf \implies \dfrac{11-7\sqrt{2}}{-1}[/tex]

[tex]\sf \implies -11+7\sqrt{2}[/tex]

Answer:

13,62$

Step-by-step explanation:

The total hours Riley worked last week: 7.5*3= 22.5 (hours)

Riley's hourly rate of pay: 306.45/ 22.5= 13.62$

Answer:

It's 4

Step-by-step explanation:

2 2/5 - 12/5 (Simplify)

2 2/5 - 2 2/5

0 (Subtract)

(1x0) + 4 (Finish Equation)

0 + 4 (Add)

4 (Done)

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$550\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ t=years\dotfill &6 \end{cases} \\\\\\ A=550e^{0.03\cdot 6}\implies A=550e^{0.18}\implies A\approx 658.47[/tex]

Answer:

$48.

Step-by-step explanation:

$480-$48

=$432

after the discount