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NemiM [27]
2 years ago
11

Need help asap plsss

Mathematics
1 answer:
jekas [21]2 years ago
4 0

Answer:

x = 29°

y = 29°

z = 102°

Step-by-step explanation:

x and y both look even to the 29° angle across from them and z looks even to the 102° angle across from it.

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Calculate a vector c in the same direction of the vector a and that has the same length as the vector b
Viktor [21]

For any scalar t>0, t\vec a is a vector pointing in the same direction as a.

To force this vector to have the same length as another vector \vec b, first normalize t\vec a by dividing it by its norm,

\dfrac{t\vec a}{\|t\vec a\|}=\dfrac{t\vec a}{t\|\vec a\|}=\dfrac{\vec a}{\|\vec a\|}

then multiply this vector by the norm of \vec b, so that

\vec c=\dfrac{\|\vec b\|}{\|\vec a\|}\vec a

To confirm that \vec c has the same length as \vec b:

\|\vec c\|=\left\|\dfrac{\|\vec b\|}{\|\vec a\|}\vec a\right\|=\dfrac{\|\vec b\|}{\|\vec a\|}\|\vec a\|=\|\vec b\|

8 0
3 years ago
Espana
marysya [2.9K]
First, subtract to get the difference.
2.85 – 2.78 = 0.07

Next, divide 2.78 by 100
2.78 ÷ 100 = 0.0278
So, 0.0278 is 1%. Divide 0.07 by 0.0278 to get the answer.
0.07 ÷ 0.0278 ≈ 2.518
2.518 ≈2.5
Therefore, the percentage increase is approximately 2.5% (that's the answer).

Hope this helps!
8 0
3 years ago
An 16 16​-oz jar of peanut butter in the shape of a right circular cylinder is 7 7 in. high and 5 5 in. in diameter and sells fo
olya-2409 [2.1K]

Answer:

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant whose value is 3.14

Considering the 16 oz jar,

h = 7 inches

Diameter = 5 inches

Radius = diameter/2 = 5/2

r = 2.5 inches

Volume = 3.14 × 2.5² × 7 = 137.375 inches³

Considering the 29 oz jar,

h = 7.5 inches

Diameter = 5.25 inches

Radius = diameter/2 = 5.25/2

r = 2.625 inches

Volume = 3.14 × 2.625² × 7.5 = 162.27 inches³

1) If the cost is directly proportional to​ volume, then

If 137.375 inches³ cost $1.6

then 162.27 inches³ should cost

(162.27 × 1.6)/137.375 = $1.89

The price of the larger jar would be $1.89

2) If the cost is directly proportional to​ weight, then

If 16 oz cost $1.6, then

29 oz would cost

(29 × 1.6)/16 = $2.9

The price of the larger jar would be $2.9

7 0
2 years ago
Find the reference angle for 497°<br> A) 137°<br> B)133°<br> C) 47°<br> D) 43°
Mila [183]
Reference angle is 137
4 0
3 years ago
Read 2 more answers
What is the total amount that First Consumer Bank will receive after lending Jane $7,000 for three years at an interest rate of
nlexa [21]
<span>In 3 years, you will have $8,103.38

Formula:
</span>

<span>A = P (1 + r/n)<span> ^(nt)</span></span>

Where:

A = the future value of the investment/loan, including interest
P = the principal investment amount (the initial deposit or loan amount)
r = the annual interest rate (decimal)
n = the number of times that interest is compounded per year
t = the number of years the money is invested or borrowed for

7 0
2 years ago
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