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NeTakaya
3 years ago
7

A triangle has an angle that measures 50 degrees. the other two angles are in a ratio of 3:10. What are the measures of those tw

o angles
Mathematics
1 answer:
andrezito [222]3 years ago
8 0

Answer:

100 degrees, 30 degrees

Step-by-step explanation:

Write an expression for the measures of the other two angles:

one angle = 3x

other angle = 10x

These are in the ratio 3:10, but you don't know the value of x YET!

Fact: all 3 angles sum to 180 degrees.

50 + 3x + 10x = 180

50 + 13x = 180

13x = 130

x = 10

Now plug this value into the two expressions for the angle measures.

one angle = 3(10) = 30 degrees

other angle = 10(10) = 100 degrees

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Find the product and write in lowest term. Give me an integer or simplified fraction.<br> 7/54×27/35
wariber [46]

The product of given expression is \frac{1}{15} \text{ or } 0.0667

<em><u>Solution:</u></em>

Given that we have to find the product and write it in lowest term

Given expression is:

\frac{7}{54} \times \frac{27}{35}

Let us first find common factors of numerator and denominator so, thet simplification becomes easier

54 = 27 \times 3\\\\35 = 7 \times 5

Substituting these in above expression, we get

\rightarrow \frac{7}{27 \times 3} \times \frac{27}{7 \times 5}

Cancel the common factors in numerator and denominator

\rightarrow \frac{1}{15}

In decimal form, we get

\rightarrow \frac{1}{15} = 0.0667

Thus the product of given expression is \frac{1}{15} \text{ or } 0.0667

4 0
4 years ago
Find the area of the figure. Round to the nearest tenth if necessary.
baherus [9]

Hello!


First of all, let's find the triangle. As we can see, it is eight units long and four units tall. We can use the triangle formula and half the product.


4(8)=32

32/2=16


Now we need to find the area of the semicircle. We can use circle formulas and half our final answer. We will find the area using A=\pir².


We know that the diameter of this circle is eight. Therefore our radius is 4.


A=4\pi²

A=16\pi


Now we multiply.


16\pi≈50.27


Now we add our triangle.


50.27+16=66.27


The nearest answer to this is B)66.2. It may have been a bit over as we used \pi, not 3.14.


I hope this helps!



3 0
4 years ago
3x2 - 4x + 2
Oksana_A [137]

Answer:

c

Step-by-step explanation:

A quadratic trinomial has the form of ax² + bx + c

e.g. 3x² + 4x + 2

A quadratic binomial has the form of ax² + bx

e.g. 3x² + 4x

A cubic binomial has the form : ax³ + bx

3x³ + 4x

6 0
3 years ago
What is the equation, in standard form, of a parabola that models the values in the table?
love history [14]

Answer:

<u>Y=4x^2+3x-6</u>

Step-by-step explanation:

For the standard form equation to model the values in the table, each value of x in the table should give the matching the y value when substituted into the equation. We will test each equation:

<u>Y=3x^2+4x-6 for (-2,4)</u>

Y=3(-2)^2+4(-2)-6=3(4)+-8-6=12+-8-6=-2\\

This does not give 4 as the answer and is not a solution.

<u>Y=4x^2+3x-6 for (-2,4)</u>

Y=4(-2)^2+3(-2)-6=4(4)+-6-6=16+-6-6=-4\\

This does give 4 as the answer and is a possible solution.

<u>Y=4x^2-3x-6 for (-2,4)</u>

Y=4(-2)^2-3(-2)-6=4(4)+6-6=16+6-6=16\\

This does not give 4 as the answer and is not a solution.

<u>Y=-4x^2-3x-6 for (-2,4)</u>

Y=-4(-2)^2-3(-2)-6=-4(4)+6-6=-16+6-6=-16\\

This does not give 4 as the answer and is not a solution.

The only possible solution is <u>Y=4x^2+3x-6</u>

3 0
4 years ago
Heidi has an average score of 78 for her first six chemistry tests. If Heidi"s scores for the first four tests were 82,78,87, an
elixir [45]

Answer:

(A)74

Explanation:

Let her average score on the last two tests = x.

The six scores will now be: 82,78,87,73, x and x.

Since the average score for her first six chemistry tests = 78

\frac{82+78+87+73+x+x}{6}=78

We then solve for x.

\begin{gathered} 320+2x=78\times6 \\ 320+2x=468 \\ 2x=468-320 \\ 2x=148 \\ x=\frac{148}{2} \\ x=74 \end{gathered}

Her average score for the last two tests is 74.

3 0
1 year ago
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