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3 years ago

A) Work out the size of angle x.

Mathematics

1 answer:

Andru [333]3 years ago

7 0

Answer:

100°= angle b(VERTICAL OPPOSITE ANGLE)

100°+x°=180°[co interior angle]

x=180°-100°

x=80°

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Subtract using the number line.

Stella [2.4K]

The answer would be 1 1/3 plotted over the 1 to 1 1/3

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2 years ago

Read 2 more answers

Find the surface area of the figure. Round to the nearest tenth if possible.

Cloud [144]

Area of square base:
13 x 13 = 169
Area of triangular sides:
B x H/2
13 x 16/2 = 104
104 x 4 = because there are 4 triangular sides of the figure = 416
416 + 169 = 585in^2
590in^2

6 0

2 years ago

According to a survey conducted by an environmental organization, the probability that an eligible voter cares strongly about en

Alina [70]

Answer:

The probability that the person cares strongly about environmental issues but does not vote regularly is P=0.33.

Step-by-step explanation:

We have:

Probability that the voter cares for the environment P(E)=0.63

Probability that the voter votes regularly P(R)=0.51

Probability that the voter votes regularly and cares for the environment P(R,E)=0.30

We have to calculate the probability that the voter cares for the environment but does not vote regularly P(not R, E).

We know that the probability that the voter cares for the environment is 0.63, and is divided between the ones that vote regularly and the ones that don't:

P(E)=P(R,E)+P(not R,E)=0.63

We also know that the probability that the voter votes regularly and cares for the environment is P(R,E)=0.30. Then:

P(E)=0.30+P(not R,E)=0.63

P(not R,E)=0.63-0.30=0.33

The probability that the person cares strongly about environmental issues but does not vote regularly is P=0.33.

6 0

3 years ago

verified A package of 6 pairs of insulated socks costs 47.34 .what is the unit price of the pairs of sock

Galina-37 [17]

If your wondering how much each pair costs individually then its 7.89 per pair

7 0

3 years ago

Read 2 more answers

manuel deposits $10000 for 12 yr in an account paying 4% compounded annually.He then puts this total amount on deposit in anothe

Naddik [55]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$10000\\
r=rate\to 4\%\to \frac{4}{100}\to &0.04\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &12
\end{cases}
\\\\\\
A=10000\left(1+\frac{0.04}{1}\right)^{1\cdot 12}\implies A=1000(1.04)^{12}\\\\\\ A\approx 16010.32$

he then turns around and grabs that money and sticks it for another 9 years,

$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
~~
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$16010.32\\
r=rate\to 5\%\to \frac{5}{100}\to &0.05\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{semi-annually, thus twice}
\end{array}\to &2\\
t=years\to &9
\end{cases}
\\\\\\
A=16010.32\left(1+\frac{0.05}{2}\right)^{2\cdot 9}\implies A=16010.32(1.025)^{18}
\\\\\\
A\approx 24970.64$

add both amounts, and that's how much is for the whole 21 years.

6 0

4 years ago