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2 years ago

PLEASE ANSWER THE PIC BELOW

Mathematics

1 answer:

jok3333 [9.3K]2 years ago

7 0

Answer: 11

Step-by-step explanation:

Since the equation of circumference is 2(r)pi

if 22pi=2(r)pi

then 22=2r

22=2r

r=11

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Can someone plz help me answer the hole question

stiks02 [169]

Answer:

He needs one more quart

Step-by-step explanation:

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2 years ago

An investment of $1,500 is earning 7% simple interest each year. How much will the investment be worth after one year?

djverab [1.8K]

Answer:

Step-by-step explanation:

1500 * 0.07 = 105

105 + 1500 = 1605

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2 years ago

Question 15 (5 points)<br> Find the angle between u = <7, -2> and v= (-1,2>.

Tema [17]

Answer:

Approximately $2.3127$ radians, which is approximately $132.51^{\circ}$ .

Step-by-step explanation:

Dot product between the two vectors:

$\begin{aligned}& u\cdot v \\ =\; & 7 \times (-1) + (-2) \times 2 \\ =\; & (-11) \end{aligned}$ .

Magnitude of the two vectors:

$\begin{aligned} \| u \| &= \sqrt{{7}^{2} + {(-2)}^{2}} \\ &= \sqrt{53} \end{aligned}$ .

$\begin{aligned} \| v \| &= \sqrt{{(-1)}^{2} + {2}^{2}} \\ &= \sqrt{5} \end{aligned}$ .

Let $\theta$ denote the angle between these two vectors. By the property of dot products:

$\begin{aligned} \cos(\theta) &= \frac{u \cdot v}{\|u\| \, \| v \|} \\ &= \frac{(-11)}{(\sqrt{53})\, (\sqrt{5})} \\ &= \frac{(-11)}{\sqrt{265}}\end{aligned}$ .

Apply the inverse cosine function ${\rm arccos}$ to find the value of this angle:

$\begin{aligned} \theta &= \arccos\left(\frac{u \cdot v}{\| u \| \, \| v \|}\right) \\ &= \arccos\left(\frac{(-11)}{\sqrt{265}}\right) \\ & \approx \text{$2.3127$ radians} \\ &= 2.3127 \times \frac{180^{\circ}}{\pi} \\ &\approx 132.51^{\circ}\end{aligned}$ .

8 0

1 year ago

Angelique Calculated the slope of a line that passed through points (-5,4) and (2,-3) her work is shown below. identify her erro

SOVA2 [1]

Answer:

see explanation

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 5, 4 ) and (x₂, y₂ ) = (2, - 3 )

m = $\frac{-3-4}{2-(-5)}$

Her error was subtracting 5 from 2 instead of - 5 from 2

m = $\frac{-7}{2+5}$ = $\frac{-7}{7}$ = - 1 ← corrected solution

8 0

1 year ago

The formula A=P(1+r)^2 gives the amount A in dollars that P dollars will grow to in 2 years at interest rate R (where r is given

Likurg_2 [28]

P=presne amount=5000
A=furutre amount which you want to be 5304.50

solve for r

5304.50=5000(1+r)^2
divide both sides by 5000
1.0609=(1+r)^2
sqrt both sides (remember to get positive and negative roots)
+/-1.03=1+r
minus 1 both sides
+/-1.03-1=r

+1.03-1=r=0.03=3%
-1.03-1=r=-2.03=false, no negative percents

answer is 3%

8 0

2 years ago