All categories

3 years ago

Alvin is 15 years younger than Elga. The sum of their ages is 25. What is Elga’s age

Mathematics

1 answer:

Fynjy0 [20]3 years ago

4 0

Elga is 20 years old and Alvin would be 5. Hope this helped.

You might be interested in

The heights of a group of boys and girls at a local middle school are shown on the dot plots below. 2 dot plots with number line

atroni [7]

Answer:sushi love sushi sushi is life and life is sushi

Step-by-step explanation:

8 0

3 years ago

A. 25,600π in3 B. 10,240π in3 C. 1280π in3 D. 640π in3

NeX [460]

Answer: The correct answer is B; 10,240π in³

Step-by-step explanation: To calculate the volume of a cylinder, the given formular is

Volume = π r² h, where

radius (r) = 16

height (h) = 40

Pi (π) = 3.14

It is important to take note that in questions like these, the value of pi is usually given as 3.14 or 22/7. However, for this particular question, the answer should be expressed in terms of pi, (that is, the answer must include pi). For that reason we shall leave pi as it is, and we shall not use it's value when applying the formular.

Therefore, inserting the values of radius, height and pi into our formular, we now have;

Volume = π r² h

Volume = π x 16² x 40

Volume = π x 256 x 40

Volume = π x 10,240

Therefore the exact volume of the cylinder = 10,240π in³

5 0

4 years ago

What is the area of the figure?

sergij07 [2.7K]

Answer:

69.75

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Maria drew two parallel lines kl and mn intersected by a transversal pq, as shown below: two parallel lines kl and mn with pq as

hjlf

${\text{Here, two parallel lines }}kl\,{\text{and }}mn\,{\text{are intersected by a}} \hfill \\ {\text{transversal }}pq\,{\text{at points }}r\,{\text{and }}s\,{\text{respectively}}{\text{. }} \hfill \\ {\text{Here, two angles }}krq\,{\text{and}}\,msq\,{\text{formed}}\,{\text{by the transversal }}pq\,{\text{with respect to the lines}} \hfill \\kl\,{\text{and }}mn\,{\text{such that}} \hfill \\ m\left( {\angle \;krq} \right)\, = \,m\left( {\angle \;msq} \right) \hfill \\text{as these two angles are corresponding angles which are always of equal measure,}} \hfill \\ {\text{i}}{\text{.e}}{\text{., corresponding angles are always congruent to each other}}{\text{.}} \hfill \\$

4 0

3 years ago

Read 2 more answers

How does the graph of y = sec(x + 3) – 7 compare with the graph of y = sec(x)?

Dmitry_Shevchenko [17]

$\bf ~~~~~~~~~~~~\textit{function transformations}
\\\\\\
% function transformations for trigonometric functions
% templates
f(x)=Asin(Bx+C)+D
\\\\
f(x)=Acos(Bx+C)+D\\\\
f(x)=Atan(Bx+C)+D
\\\\
-------------------$

$\bf \bullet \textit{ stretches or shrinks}\\
~~~~~~\textit{horizontally by amplitude } A\cdot B\\\\
\bullet \textit{ flips it upside-down if }A\textit{ is negative}\\
~~~~~~\textit{reflection over the x-axis}
\\\\
\bullet \textit{ flips it sideways if }B\textit{ is negative}$

$\bf ~~~~~~\textit{reflection over the y-axis}
\\\\
\bullet \textit{ horizontal shift by }\frac{C}{B}\\
~~~~~~if\ \frac{C}{B}\textit{ is negative, to the right}\\\\
~~~~~~if\ \frac{C}{B}\textit{ is positive, to the left}\\\\
\bullet \textit{vertical shift by }D\\
~~~~~~if\ D\textit{ is negative, downwards}\\\\
~~~~~~if\ D\textit{ is positive, upwards}$

$\bf \bullet \textit{function period or frequency}\\
~~~~~~\frac{2\pi }{B}\ for\ cos(\theta),\ sin(\theta),\ sec(\theta),\ csc(\theta)\\\\
~~~~~~\frac{\pi }{B}\ for\ tan(\theta),\ cot(\theta)$

with that template in mind,

$\bf y=sec(\stackrel{B}{1}x+\frac{C}{3})\stackrel{D}{-7}$

the derived function has a horizontal shift of C/B or +3/1 or +3, namely 3 units to the left.

and has a vertical shift D = -7, of 7 units downwards.

4 0

3 years ago