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Alenkasestr [34]
2 years ago
14

5.(MC)

Mathematics
1 answer:
Ivanshal [37]2 years ago
6 0

Answer:

2

Step-by-step explanation:

The area of a triangle is equivalent to its length multiplied by its width.

In this example, one way we can look at this is to make everything in terms of two. First, we know that

2^{4} = 16\\\sqrt[5]{2^{4}} = \sqrt[5]{16} \\2^{4 (1/5)} = \sqrt[5]{2^{4}}

We can establish that last line because x^((y)^(z)) = x^(y*z), as is stated in exponent rules. Therefore, our area is

2^{4/5} * 2^{1/5} = 2^{4/5 + 1/5} = 2^{5/5} = 2^{1} =2

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What is the total surface area
Stels [109]

We have two right triangles and three different rectangles.

The formula of an area of a right triangle:

A_T=\dfrac{1}{2}l_1l_2

l₁, l₂ - legs

We have l₁ = 20cm and l₂ = 21cm. Substitute:

A_T=\dfrac{1}{2}(20)(21)=(10)(21)=210\ cm^2

The formula of an area of a rectangle:

A_R=lw

l - length

w - width

We have:

rectangle #1: l = 22cm, w = 29cm

A_{R1}=(22)(29)=638\ cm^2

rectangle #2: l = 22cm, w = 21cm

A_{R2}=(22)(21)=462\ cm^2

rectangle #3: l = 22cm, w = 20cm

A_{R3}=(22)(20)=440\ cm^2

The total Surface Area of the triangular prism:

S.A.=2A_T+A_{R1}+A_{R2}+A_{R3}\\\\S.A.=2\cdot210+638+462+440=1960\ cm^2

3 0
2 years ago
Please I need help on this test
vovangra [49]

Answer:

y =  \frac{3}{2} x

y = 3

y - intercept =  - 3

slope =  - 1

Step-by-step explanation:

Hope this helps!

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6 0
2 years ago
If A ABC ~ ARST and m 2 A = 42°, m 2 C = 60°,<br> find the measure of &lt; S.
Free_Kalibri [48]

Answer:

78

Step-by-step explanation:

∠A + ∠B + ∠C = 180   { Angle sum property of triangle}

42 + ∠B + 60 = 180

∠B + 102 = 180

∠B = 180 - 102 = 78

In similar triangles, corresponding angles are congruent.

∠S ≅ ∠B

∠S = 78°

7 0
2 years ago
A radioactive substance decays according to the formula A=A0e^kt
Sholpan [36]
Without needing fancy formulas, we can conclude that after 10 years, half of the substance will be left.  So, we can make our own formula:
amount remaining = 1 / 2^(years/10)
So, after 5 years
amount remaining = 1 / 2^(5/10)
amount remaining = 1 / 2^(.5)
amount remaining = 1 / <span> <span> <span> 1.414213562 </span>
</span></span><span>amount remaining = 0.70711 * 20 grams
</span><span><span><span><span>amount remaining = </span>14.1421356237 grams

</span></span></span>


4 0
3 years ago
Question is in the image​
storchak [24]

Answer:

4.

Step-by-step explanation:

y = -2x + 3

-1 = -2(2) + 3

-1 = -4 + 3

-1 = -1

y = x - 3

-1 = 2 - 3

-1 = -1

8 0
3 years ago
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