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Mrrafil [7]
3 years ago
12

One fifth of the sum of two angles is 24 and half their difference is 14.Calculate the two angles

Mathematics
1 answer:
Brums [2.3K]3 years ago
4 0
Let, the angles = a, b
It is given that, a+b /5 = 24
a + b = 120   --- equation (1)

a-b/2 = 14
a - b = 28  ---- equation (2)
a = 28 + b

Now, substitute this value of b in equation (1), 
28 + b + b = 120
2b = 120 - 28
b = 92/2
b = 46
Now, a = 28 + b = 28 + 46 = 74

In short, Your Angles are 74 and 46

Hope this helps!
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lisov135 [29]

Given:

The expression is

\dfrac{12\pi}{10\pi}\times \dfrac{5\pi}{6\pi}

To find:

The value of the given expression closest to the whole number.

Solution:

We have,

\dfrac{12\pi}{10\pi}\times \dfrac{5\pi}{6\pi}

Cancel out the common factors from each fraction.

=\dfrac{6}{5}\times \dfrac{5}{6}

=\dfrac{6\times 5}{5\times 6}

=\dfrac{30}{30}

=1

Therefore, the value of the given expression is 1.

6 0
2 years ago
What is the annual compound interest rate for an investment account modeled by the function y=12⋅1.18t ?
NikAS [45]

Answer:

The interest rate for the given investment is 18%.

Step-by-step explanation:

We are given that,

The function representing the investment model is, y=12(1.18)^t.

It is required to find the interest rate for the investment.

Since, the function can be re-written as,

y=12(1.18)^t

i.e. y=12(1+0.18)^t

So, on comparing with the formula for compound interest i.e. A=P(1+r)^t, where 'r' is the interest rate.

We have that,

The interest rate for the given investment is 0.18 i.e. 18%.

7 0
2 years ago
PLZ HELP ?
ollegr [7]
I think it’s seventy five
5 0
3 years ago
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Under a certain transformation T, AA'BC' is the image of AABC. The perimeter of AA'B'C' is twice the perimeter of ABC. What kind
Anika [276]

The dimensions of the image are twice the dimensions of the preimage,

which indicates that the transformation is a dilation.

  • The transformation <em>T</em> is; <u>a dilation transformation with a scale factor of 2, D₂</u>

Reasons:

The transformation applied to ΔABC = T

The image of ΔABC following the transformation, T = ΔA'B'C'

The perimeter of ΔA'B'C' = Twice the perimeter of ΔABC

Therefore, we have;

A'B' + B'C' + A'C' = 2 × (AB + BC + AC)

Which gives

A'B' + B'C' + A'C' = 2·AB + 2·BC + 2·AC

By similar triangles, we have the ratio of corresponding sides as follows;

\displaystyle \frac{AB}{A'B'}  = \frac{BC}{B'C'} = \mathbf{ \frac{AC}{A'C'}}

Which gives;

\displaystyle \frac{AB}{A'B'}  = \frac{AB}{2 \cdot AB} = \frac{1}{2}

A'B' = 2·AB

Therefore;

  • Triangle ΔA'B'C' is twice the dimension of triangle ΔABC, and <em>T</em> is <u>a dilation transformation with a scale factor of 2, D₂</u>

Learn more about dilation transformation here:

brainly.com/question/2458912

3 0
2 years ago
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Sladkaya [172]

Answer:

c

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3 is a prime number, it cannot be factored into other prime factors

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