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4 years ago

90 POINTS - Algebra Is this relationship proportional?

Mathematics

2 answers:

Leno4ka [110]4 years ago

6 0

Answer:

-2 -27 the answer is -24

1 and 12 4

4 and 57 the answer is 53

10 and 147 the answer is 157

Tanzania [10]4 years ago

5 0

Answer:

Step-by-step explanation:

Proportional relationships are defined as two quantities that directly relate to one another.

-2/-27= 0.07

10/147= 0.06

These values are different meaning that the relationship is not proportional! You can also write the values as a fraction to see if they relate.

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How do you slove sin geometry

GREYUIT [131]

Answer:

you do sin

Step-by-step explanation:

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3 years ago

How do I solve this?

Luda [366]

Answer:

<h2>Given:</h2>

A ∆ with an exterior angle :116° & two interior angles 7x+6 & 4x

The value of angle 7x+6

<h2>Solution:</h2>

we know that ,

The measure of an <em><u>exterior angle</u></em> of a triangle is <em>equal to</em> the <em>sum of</em> the measures of the <em><u>two non adjacent interior angles</u></em> of the triangle.

so,

$7x + 6 + 4x= 116 \\ 11x + 6 = 116 \\ 11x = 116 - 6 \\ 11x = 110 \\ x = 110 \div 11 \\ x = 10$

so ,the measure of green angle would be

$7x + 6 \\ placing \: the \: value \: of \: x \: as \: 10 \\ 7 \times 10 + 6 \\ = 70 + 6 \\ = 76$

<h2>Verification:</h2>

To verify our answer ,the sum of the resultant value of green angle and 4x should be 116°(the exterior opposite angle)

so,

$7x + 6 + 4x = 116 \\ 7 \times 10 + 6 + 4 \times 10 = 116 \\ 70 + 6 + 40 = 116 \\ 76 + 40= 116 \\ 116 = 116 \\ \\ hence,\: verified$

4 0

2 years ago

Read 2 more answers

Every new computer costs $454.86 from a local store. The nearby school has a policy that every 3 children must have at least 1 c

Leto [7]

Answer:

27,291.6$

Step-by-step explanation:

1=3

12/3=4computers

4×15=60

60×454.86=27,291.6$

hope you will find it helpful

3 0

3 years ago

A ball has a volume of 128 cubic inches. Find the diameter of the ball.

Natalija [7]

$\bf \textit{volume of a sphere}\\\\
V=\cfrac{4\pi r^3}{3}~~
\begin{cases}
r=radius\\
-----\\
V=128
\end{cases}\implies 128=\cfrac{4\pi r^3}{3}\implies 128(3)=4\pi r^3$

$\bf \cfrac{128(3)}{4\pi }=r^3\implies \sqrt[3]{\cfrac{128(3)}{4\pi }}=r^3\implies \sqrt[3]{\cfrac{96}{\pi }}=r\implies \sqrt[3]{\cfrac{8\cdot 12}{\pi }}=r
\\\\\\
\sqrt[3]{\cfrac{2^3\cdot 12}{\pi }}=r\implies 2\sqrt[3]{\cfrac{12}{\pi }}=r\\\\
-------------------------------\\\\
\textit{and since the diameter is \underline{twice as the radius}}\qquad d=4\sqrt[3]{\cfrac{12}{\pi }}$

7 0

4 years ago

In RST, RS = 7, RT = 10, and ST = 8. Which angle of RST has the smallest measure? A T BCANNT BE DETERMINDED C R D S

Scrat [10]

Answer:

Correct answer is option A. T

Step-by-step explanation:

Given that

In a $\triangle RST$ , RS = 7, RT = 10, and ST = 8.

To find:

Smallest angle = ?

Solution:

We can use cosine rule here to find the angle.

Formula for cosine rule:

$cos B = \dfrac{a^{2}+c^{2}-b^{2}}{2ac}$

Where

a is the side opposite to $\angle A$

b is the side opposite to $\angle B$

c is the side opposite to $\angle C$

Using the cosine rule:

$cos T = \dfrac{ST^{2}+RT^{2}-RS^{2}}{2\times ST \times RT}\\\Rightarrow cos T = \dfrac{8^{2}+10^{2}-7^{2}}{2\times 8 \times 10}\\\Rightarrow cos T = \dfrac{64+100-49}{160}\\\Rightarrow cos T = \dfrac{115}{160}\\\Rightarrow \angle T = cos^{-1}(0.71875)\\\Rightarrow \angle T = 44.05^\circ$

Now, let us use Sine rule to find other angles:

$\dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}$

$\dfrac{RS}{sinT} = \dfrac{ST}{sinR} = \dfrac{RT}{sinS}\\\Rightarrow \dfrac{7}{sin44.05} = \dfrac{8}{sinR} = \dfrac{10}{sinS}\\\Rightarrow \dfrac{7}{0.695} = \dfrac{8}{sinR} = \dfrac{10}{sinS}\\\Rightarrow sin R = \dfrac{8 \times 0.695}{7}\\\Rightarrow R = 52.58^\circ$

$\Rightarrow sin S = \dfrac{10 \times 0.695}{7}\\\Rightarrow S = 83.14^\circ$

Smallest angle is $\angle T$

Correct answer is option A. T

4 0

4 years ago