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JulijaS [17]
2 years ago
15

What is the area of this face?

Mathematics
2 answers:
BARSIC [14]2 years ago
8 0

Answer:

10*4-6*2=28

Step-by-step explanation:

Alex787 [66]2 years ago
5 0
I think it’s none of those
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A garden is designed in the shape of a rhombus formed from 4 identical 30°-60°-90° triangles. The shorter distance across the mi
EleoNora [17]

Answer:

c) 120 ft

Step-by-step explanation:

Let's consider the rhombus has 4 sides, A, B, C, and D.

To find the length of each side, let's first find the length AE.

From the diagram, AE is half of AC and AC = 30 ft.

Therefore,

AE = ½ * 30

AE = 15 ft

Let's find the length AD, since we are looking for the distance around the perimeter.

AD = \frac{15}{sin30} = \frac{15}{0.5} = 30 ft

We are told the rhombus is formed by four identical triangles.

Therefore the distance around the perimeter would be: AD+AD+AD+AD=

30 ft + 30 ft + 30 ft + 30 ft

= 120 ft

The distance around the perimeter of the garden is 120 ft

8 0
3 years ago
Read 2 more answers
The equation of the line with slope −4 that goes through the point (8,−3)
Korolek [52]

Answer:

y = -4x + 29

Step-by-step explanation:

-3 = -4(8) + b

-3 = -32+b

29=b

7 0
3 years ago
Help please with question 5-8, show the solution
ludmilkaskok [199]

For each of these problems, remember SOH-CAH-TOA.

Sine = opposite/hypotenuse

Cosine = adjacent/hypotenuse

Tangent = opposite/adjacent

5) Here we are looking for the cosine of the 30 degree angle. Cosine uses the adjacent side to the angle over the hypotenuse. Therefore, cos(30) = 43/50.

6) We have an unknown side length, of which is adjacent to 22 degrees, and the length of the hypotenuse. Since we know the adjacent side and the hypotenuse, we should use Cosine. Therefore, our equation to find the missing side length is cos(22) = x / 15.

7) When finding an angle, we always use the inverse of the trigonometry function we originally used. Therefore, if sin(A) = 12/15, then the inverse of that would be sin^-1 (12/15) = A.

8) We are again using an inverse trigonometry function here. We know the hypotenuse, as well as the side adjacent to the angle. Therefore, we should use the inverse cosine function. Using the inverse cosine function gives us cos^-1 (9/13) = 46 degrees.

Hope this helps!

8 0
3 years ago
Which could be the first step in simplifying this expression? Check all that apply. (x cubed x Superscript negative 6 Baseline)
PtichkaEL [24]

Answer:

(x^{-3} )^{2}

x^6 x^{-12}

Step-by-step explanation:

(x^{3} x^{-6} )^{2} is the expression given to be solved.

First of all let us have a look at <u>3 formulas</u>:

1.\ p^a \times p^b = p^{(a+b)}\\2.\ (p^a \times q^b)^c = (p^{a})^c \times (q^{b})^c\\3.\ (p^a)^b = p^{a\times b}

Both the formula can be applied to the expression((x^{3} x^{-6} )^{2}) during the first step while solving it.

<u>Applying formula (1):</u>

(x^{3} x^{-6} )^{2}

Comparing the terms of (x^{3} x^{-6} ) with p^a \times p^b

p=x, a =3, b=-6

\Rightarrow x^{3+(-6)}\\\Rightarrow x^{3-6}\\\Rightarrow x^{-3}

So, (x^{3} x^{-6} )^{2} is reduced to (x^{-3} )^{2}

<u>Applying formula (2):</u>

Comparing the terms of (x^{3} x^{-6} )^{2} with (p^a \times q^b)^c

p=q=x, a =3, b=-6, c=2

\Rightarrow (x^{3})^2\times (x^{-6})^2\\\text{Applying Formula (3)}\\x^6 x^{-12}

So, (x^{3} x^{-6} )^{2} is reduced to x^6 x^{-12}.

So, the answers can be:

(x^{-3} )^{2}

x^6 x^{-12}

8 0
3 years ago
Estimate the number of times an average person's heart beats in a lifetime. assume the average heart rate is 69 beats/min and a
rusak2 [61]
It would be approximately <span>2,719,980,000 beats in their entire lifetime.</span>
4 0
3 years ago
Read 2 more answers
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