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1 year ago

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Mathematics

1 answer:

kherson [118]1 year ago

7 0

Answer:

28cm²

Step-by-step explanation:

The area of a triangle is given as:

= 1/2 × b × h

= 1/2 × 7 × 8

= 28cm²

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The square below represents one whole.

kupik [55]

Answer:

$\text{Shaded area as fraction}=\frac{81}{100}$

$\text{Shaded area as decimal}=0.81$

$\text{Shaded area as percent of the whole}=81\%$

Step-by-step explanation:

Please consider the attached image as the given square.

We are asked to express the shaded area as a fraction, a decimal, and a percent of the whole.

We can see that in our figure there are 100 squares as there are 10 rows and each row contains 10 squares.

We can also see that there are 81 shaded squares out of 100 squares, so we can represent it as a fraction as:

$\frac{\text{Shaded squares}}{\text{Total squares}}$

$\text{Shaded area as fraction}=\frac{81}{100}$

To convert the shaded area into decimal, we need to divide 81 by 100.

$\text{Shaded area as decimal}=0.81$

To convert the shaded area into percent, we need to multiply 0.81 by 100.

$\text{Shaded area as percent of the whole}=0.81\times 100\%$

$\text{Shaded area as percent of the whole}=81\%$

7 0

3 years ago

Read 2 more answers

Evaluate the difference between 5.1 and 1.8

Crank

Step-by-step explanation:

to evaluate the difference between them so,

subtract 1.8 by 5.1

so,

5.1 - 1.8 = 3.3

so difference between them is 3.3

hope this answer helps you dear..take care and may u have a great day ahead!

5 0

2 years ago

Read 2 more answers

in 2009 a total of R36 000 was invested in two accounts. One account earned 7% annual interest and the other earned 9% .The tota

Akimi4 [234]

a = amount invested at 7%

b = amount invested at 9%

we know the amount invested was ₹36000, thus we know that whatever "a" and "b" are, a + b = 36000. We can also say that

$\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{7\% of a}}{\left( \cfrac{7}{100} \right)a}\implies 0.07a~\hfill \stackrel{\textit{9\% of b}}{\left( \cfrac{7}{100} \right)b}\implies 0.09b$

since we know the interest earned from the invested was ₹2920, then we say that 0.07a + 0.09b = 2920.

$\begin{cases} a + b = 36000\\\\ 0.07a+0.09b=2920 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{using the 1st equation}}{a + b = 36000\implies \underline{b = 36000-a}}~\hfill \stackrel{\textit{substituting on the 2nd equation}}{0.07a~~ + ~~0.09(\underline{36000-a})~~ = ~~2920} \\\\\\ 0.07a+3240-0.09a=2920\implies 3240-0.02a=2920\implies -0.02a=-320 \\\\\\ a=\cfrac{-320}{-0.02}\implies \boxed{a=16000}~\hfill \boxed{\stackrel{36000~~ - ~~16000}{20000=b}}$

5 0

2 years ago

Tai’s baby brother weighs 3,745 grams. What is his weight in kilograms?

Rus_ich [418]

Answer:

3.745 kg

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Point T is the midpoint of JH. The coordinate of T is (0, 5) and the coordinate of J is (0, 2). The coordinate of H is:

aev [14]

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points }\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&J&(~ 0 &,& 2~) 
% (c,d)
&H&(~ x &,& y~)
\end{array}\qquad
% coordinates of midpoint 
\left(\cfrac{ x_2 + x_1}{2}\quad ,\quad \cfrac{ y_2 + y_1}{2} \right)
\\\\\\
\left(\cfrac{x+0}{2}~~,~~\cfrac{y+2}{2} \right)=\stackrel{midpoint~T}{(0~,~5)}\implies 
\begin{cases}
\cfrac{x+0}{2}=0\\\\
\boxed{x=0}\\
------\\
\cfrac{y+2}{2}=5\\\\
y+2=10\\
\boxed{y=8}
\end{cases}$

6 0

3 years ago