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2 years ago

Suppose the original quantity is 75 and the new quantity is 105. What is the percent change?

Mathematics

2 answers:

Leno4ka [110]2 years ago

7 0

Answer:

the percent change is 40% increase

sattari [20]2 years ago

5 0

Answer:

40%

Step-by-step explanation:

105 is a 40% increase from 75

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The bases of the trapezoid are 6 and 10. The height is 4. Find the area.

kari74 [83]

<h2>Answer:</h2>

$b. \ \boxed{32 \sq. \ units}$

<h2>Step-by-step explanation:</h2>

A trapezoid is a quadrilateral where at least one pair of opposite sides are parallel. In a trapezoid, the both parallel sides are known as the bases of the trapezoid. So we have two bases, namely, $b_{1}\,and\,b_{2}$ . Also, the height $H$ of the trapezoid is the length between these two bases that's perpendicular to both sides. So the area of a trapezoid in terms of of $b_{1},b_{2}\:and\:H$ is:

$A=\frac{(b_{1}\text{+}b_{2})h}{2}$

Since:

$b_{1}=6, \ b_{2}=10, \ and \ H=4$

The area is:

$A=\frac{(6\text{+}10)4}{2}=\boxed{32 \sq. \ units}$

6 0

3 years ago

In the diagram of circle R, m∠FGH is 50°. What is m? 130° 230° 260° 310°

omeli [17]

we know that

The measurement of the exterior angle is the semi-difference of the arcs which comprises

In this problem

∠FGH is the exterior angle

∠FGH= $50\°$

∠FGH= $\frac{1}{2}(arc\ FEH-arc\ FH)$

$50\°=\frac{1}{2}(arc\ FEH-arc\ FH)$

$100\°=(arc\ FEH-arc\ FH)$ -----> equation A

$arc\ FEH+arc\ FH=360\°$

$arc\ FH=360\°-arc\ FEH$ --------> equation B

Substitute equation B in equation A

$100\°=(arc\ FEH-[360\°-arc\ FEH])$

$100\°=2arc\ FEH-360\°$

$2arc\ FEH=360\°+100\°$

$arc\ FEH=230\°$

therefore

<u>The answer is</u>

The measure of arc FEH is equal to $230\°$

6 0

3 years ago

Read 2 more answers

Define fn : [0,1] --> R by the

sasho [114]

Answer:

The sequence of functions $\{x^{n}\}_{n\in \mathbb{N}}$ converges to the function

$f(x)=\begin{cases}0&0\leq x$ .

Step-by-step explanation:

The limit $\lim_{n\to \infty }c^{n}$ exists and converges to zero whenever $\lvert c \rvert$ . But, if $c=1$ the sequence $\{c^{n}\}$ is constant and all its terms are equal to $1$ , then converges to $1$ . Using this result, consider the sequence of functions $\{f_{n}\}$ defined on the interval $[0,1]$ by $f_{n}(x)=x^{n}$ . Then, for all $0\leq x$ we have that $\lim_{n\to \infty}x^{n}=0$ . Now, if $x=1$ , then $\lim_{n\to \infty }x^{n}=1$ . Therefore, the limit function of the sequence of functions is