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3 years ago

Identity each pair of angles

Mathematics

2 answers:

ElenaW [278]3 years ago

5 0

Do you have a protractor? You’ll need one measure the angles.

daser333 [38]3 years ago

3 0

Answer:

∠x and ∠y are a pair CORRESPONDING ANGLES.

Step-by-step explanation:

Corresponding Angles: The angles formed on a same side of traversal when it passes through two parallel lines is called corresponding angles.

Corresponding angles are non- adjacent in nature

Also they are congruent to each other as they lie between the same parallel lines.

Here, ∠x and ∠y are a pair of CORRESPONDING ANGLES.

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What is the answer for 14a³ - 22a we have to Factorise it

sveta [45]

Answer: 2a (7a² - 11).

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2 years ago

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Reflection across the y-axis B(1,3), H(4,4), D(4,-1)

shtirl [24]

B wpuld be (-1,3), H would be (-4,4), and D would be (-4,-1). Hope this helps and please give Brainliest!

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2 years ago

The circumference of a sphere was measured to be 80 cm with a possible error of 0.5 cm. A) Use differentials to estimate the max

siniylev [52]

Answer:

A) The maximum error in the calculated surface area: $25cm^2$

Relative error: $0.013$

B) The maximum error in the calculated volume: $162cm^2$

Relative error: $0.019$

Step-by-step explanation:

A) The formula for the surface area is:

$A=4\pi r^2$

The measured value is the circumference which is equal to:

$C=2\pi r$

then the radius is:

$r=\frac{C}{2\pi}$

Substituting in the formula of the surface:

$A=4\pi(\frac{C}{2\pi})^2\\A=4\pi(\frac{C^2}{4\pi^2})\\A=\frac{C^2}{\pi}$

Using the formula to calculate the error:

$dy=f'(x)dx$

Where $x$ is the variable measured and $y$ is a function of $x$ ( $y=f(x)$ ).

$dA=f'(C)dC\\dA=\frac{2C^{(2-1)}}{\pi}dC\\dA=\frac{2C}{\pi}dC$

We have C=80cm and dC=0.5cm

$dA=\frac{2C}{\pi}dC\\dA=\frac{2(80)}{\pi}(0.5)\\dA=\frac{160}{\pi}(0.5)\\dA=50.9296(0.5)\\dA=25.4648\approx25cm^2$

The relative error is the maximum error divide by the total area. The total area is: $A=\frac{C^2}{\pi}=\frac{(80)^2}{\pi}=\frac{6400}{\pi}=2037.1833cm^2$

$\frac{dA}{A}=\frac{25.4648}{2037.1833} =0.0125\approx0.013$

B) The formula for the volume is:

$V=\frac{4}{3} \pi r^3$

Using $r=\frac{C}{2\pi}$

$V=\frac{4}{3} \pi r^3\\V=\frac{4}{3} \pi (\frac{C}{2\pi})^3\\V=\frac{4}{3} \pi (\frac{C^3}{8\pi^3})\\V=\frac{1}{3}(\frac{C^3}{2\pi^2})\\V=\frac{C^3}{6\pi^2}$

The maximum error is:

$dV=\frac{3C^{3-1}}{6\pi^2}dC\\dV=\frac{C^{2}}{2\pi^2}dC\\dV=\frac{(80)^{2}}{2\pi^2}(0.5)\\dV=\frac{6400}{2\pi^2}(0.5)\\dV=\frac{6400}{2\pi^2}(0.5)\\dV=(324.2278)(0.5)\\dV=162.1139\approx162cm^2$

The calculated volume is:

$V=\frac{C^3}{6\pi^2}\\V=\frac{(80)^3}{6\pi^2}\\V=\frac{512000}{6\pi^2}\\V=8646.0743$

The relative error is:

$\frac{dV}{V}=\frac{162.1139}{8646.0743}=0.0188\approx0.019$

3 0

2 years ago

Solve using substitution. <br> 7x-4y=-12<br> 9x-4y=-20

MrRissso [65]

Answer:y= -4

Step-by-step explanation:

1 Solve for xx in 7x-4y=-127x−4y=−12.

x=\frac{4(y-3)}{7}

4(y−3)

2 Substitute x=\frac{4(y-3)}{7}x=

4(y−3)

into 9x-4y=-209x−4y=−20.

\frac{36(y-3)}{7}-4y=-20

36(y−3)

−4y=−20

3 Solve for yy in \frac{36(y-3)}{7}-4y=-20

36(y−3)

−4y=−20.

y=-4

y=−4

4 Substitute y=-4y=−4 into x=\frac{4(y-3)}{7}x=

4(y−3)

x=-4

x=−4

5 Therefore,

\begin{aligned}&x=-4\\&y=-4\end{aligned}

x=−4

y=−4

3 0

2 years ago

Gus makes 48 fluid ounces of spiced cider. If he serves an equal amount to each of 7 people, will each person get more than I cu

Anni [7]

Answer:

Each person get less than 1 cup of cider.

Step-by-step explanation:

1. Calculate the amount of cider served to each person:

Total amount of cider is 48 fluid ounces

Gus serves 7 people

Let Q the amouunt of cider served to each person:

$Q=\frac{48}{7}=6.85$

Then, each person recived 6.85 fluid ounces of spiced cider.

2. Calculate the number of cups served:

Considering that 1 cup=8 fluid ounces, then:

$Q=6.85\frac{1}{8}=0.85$

That means that each person recived 0.85 cups of spiced cider.

Each person get less than 1 cup of cider.

4 0

3 years ago

Read 2 more answers