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3 years ago

Original number = 35. New number = 49. What is the percent change and state if it was an increase or decrease.

1 answer:

iogann1982 [59]3 years ago

7 0

$\begin{array}{ccc}35&-&100\%\\49&-&p\%\end{array}\qquad\text{cross multiply}\\\\35p=(49)(100)\\\\35p=4,900\qquad\text{divide both sides by 35}\\\\p=140(\%)\\\\140\%-100\%=40\%\\\\Answer:\ Increase\ 40\%.$

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Which statements about finding the area of the equilateral triangle are true? Check all that apply.

lara31 [8.8K]

Answer:

The correct options are 1, 2 and 4.

Step-by-step explanation:

The given triangle is an equilateral triangle. All the sides of an equilateral triangle are same. All interior angles are equal with measure 60 degree.

The distance from the center of an equilateral triangle to the midpoint of a side is known as apothem. In the given figure letter a represents the apothem.

Point D is the midpoint of BC,

$b=\frac{BC}{2}=\frac{8.7}{2}=4.35$

Use Pythagorean theorem in triangle COD. So, option 1 is correct.

$OC^2=OD^2+DC^2$

$5^2=a^2+(4.35)^2$

$25=a^2+18.9225$

$a=\pm 2.46526$

$a\approx\pm 2.5$

The distance can not be negative, so the length of the apothem is approximately 2.5 cm. Option 4 is correct.

The line OC bisects the angle C.

$tan(30^{\circ})=\frac{a}{b}$

$\frac{1}{\sqrt{3}=\frac{a}{4.35}$

$a\approx\pm 2.5$

Therefore option 2 is correct.

The perimeter of an equality triangle is

$P=3a=3(8.7)=26.1$

Option 3 is incorrect.

$A=\frac{\sqrt{3}}{4}a^2=\frac{\sqrt{3}}{4}(8.7)^2=32.77$

Option 5 is incorrect.

Therefore options 1, 2 and 4 are correct.

3 0

3 years ago

Read 2 more answers

Slope of 4/5, a width of 30…what is the height..?

maw [93]

$\qquad\qquad\huge\underline{{\sf Answer}}$

Here we go ~

Slope of the graph can be expressed as :

$\qquad \sf \dashrightarrow \:slope = \tan( \theta) = \dfrac{4}{5}$

$\qquad \sf \dashrightarrow \: \dfrac{x}{30} = \dfrac{4}{5}$

$\qquad \sf \dashrightarrow \: x = \dfrac{4}{5} \times 30$

$\qquad \sf \dashrightarrow \: x = {4}{} \times 6$

$\qquad \sf \dashrightarrow \: x = 24 \: units$

So, the value of x is 24 units

8 0

2 years ago

What is the range of the function f(x) = 4x + 9, given the domain D = {-4, -2, 0, 2}? please help

neonofarm [45]

Since this is a linear function, filling in the minimum and maximum of the domain is sufficient.

f(-4) = -16 + 9 = -7
f(2)= 8 + 9 = 17

So the range of the function (given the domain) :
R = {-7, 17}

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3 years ago

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