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2 years ago

2/4 % × 70 = _____

Mathematics

1 answer:

FinnZ [79.3K]2 years ago

3 0

Answer:

3.5

Step-by-step explanation:

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AC=4, AE=7, AD=10, what is the length of AB? <br> A: 1 3/7 <br> B: 2 1/2<br> C: 5 5/7<br> D: 17 1/2

11Alexandr11 [23.1K]

Answer:

C. $AB = 5\frac{5}{7}$

Step-by-step explanation:

When two polygons are considered similar, the ratio of their corresponding sides would also be equal.

Since ∆ABC and ∆ADE are similar, $\frac{AE}{AC} = \frac{AD}{AB}$

$\frac{7}{4} = \frac{10}{AB}$

Cross multiply

$7*AB = 10*4$

$7*AB = 40$

Divide both sides by 7 to find AB

$\frac{7*AB}{7} = \frac{40}{7}$

$AB = \frac{40}{7}$

$AB = 5\frac{5}{7}$

6 0

2 years ago

Approximate the area under the

taurus [48]

Split up the interval [0, 3] into 3 equally spaced subintervals of length $\Delta x = \frac{3-0}3 = 1$ . So we have the partition

[0, 1] U [1, 2] U [2, 3]

The left endpoint of the $i$ -th subinterval is

$\ell_i = i - 1$

where $i\in\{1,2,3\}$ .

Then the area is given by the definite integral and approximated by the left-hand Riemann sum

$\displaystyle \int_0^3 f(x) \, dx \approx \sum_{i=1}^3 f(\ell_i) \Delta x \\\\ ~~~~~~~~~~ = \sum_{i=1}^3 (i-1)^3 \\\\ ~~~~~~~~~~ = \sum_{i=0}^2 i^3 \\\\ ~~~~~~~~~~ = 0^3 + 1^3 + 2^3 = \boxed{9}$

4 0

2 years ago

7x + (9x + 8) = (7x + 9x) + 8 is what property

bonufazy [111]

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6 0

3 years ago

Kylie buys a ceramic case priced at $75. Shipping and handling are an additional 9 2/5% of the price. How much shopping and hand

salantis [7]

$\bf \begin{array}{ccllll}
amount&\%\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
75&100\\
x&9\frac{2}{5}
\end{array}\implies \cfrac{75}{x}=\cfrac{100}{9\frac{2}{5}}\implies \cfrac{75}{x}=\cfrac{100}{\frac{9\cdot 5+2}{5}}$

$\bf \cfrac{75}{x}=\cfrac{\frac{100}{1}}{\frac{47}{5}}\implies \cfrac{75}{x}=\cfrac{100}{1}\cdot \cfrac{5}{47}\implies \cfrac{75}{x}=\cfrac{500}{47}\implies 75\cdot 47=500\cdot x
\\\\\\
\cfrac{3525}{500}=x\implies \cfrac{141}{20}=x\implies 7.05=x$

7 0

3 years ago

What is the equation of the line that passes through the points (1,5) and (0,3)?

Pavlova-9 [17]

Answer:

y=2x+3

Step-by-step explanation:

first use the y2-y1/x2-x1 then use y=mx+b after

plug in 3 for y2 and 5 for y1

then plug in 0 for x2 and 1 for x1

$\frac{3-5}{0-1}$ = $\frac{-2}{-1} =2$ and 2 is ur slope

___________________

now use y=mx+b

i usually use the first point but u can u anyone u want

plug in 1 for x

plug in 5 for y

and plug in 2 for m

5=2(1)+b

5=2+b

subtract 2 on both sides

5-2=3

3=b and b is ur y-intercept

y=2x+3

hope this helps

4 0

3 years ago