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larisa [96]
3 years ago
5

Simplify: 1(-3.86 + 6.82)| + |(4.02 - 12.45)||

Mathematics
1 answer:
Yuki888 [10]3 years ago
6 0

Answer:

11.39

Step-by-step explanation:

-3.86+6.82=2.96

abs(2.96)=2.96

----------------------

4.02-12.45=-8.43

abs(-8.43)=8.43

-----------------------

1(2.96)+8.43=2.96+8.43=11.39

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A certain jet can reach an altitude of 8000 ft while flying 16000 ft through the air. what is the angle of the elevation that th
irina1246 [14]

Answer:

27 degrees

Step-by-step explanation:

First, we can draw this out. Since the altitude is 8000, we can make that the height, and it goes 16000 feet through the air, that can be the length. I have drawn this out, as shown in the image. Note that when drawing, because the airplane is going up and forward, that path should represent the hypotenuse. The angle of elevation is the angle connecting the length and the path, as shown by the angle x in the picture.

We know than tan(x) = opposite/adjacent, so tan(x) here = 8000/16000 = 1/2. Then, arctan(1/2) =x = 27 degrees

4 0
3 years ago
How many sides does a quadrillateral have
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Answer: 4

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3 0
2 years ago
Orthogonalizing vectors. Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, a
jeka57 [31]

Answer:

\\ \gamma= \frac{a\cdot b}{b\cdot b}

Step-by-step explanation:

The question to be solved is the following :

Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, and that γ is unique if b \neq 0. Recall that given two vectors a,b  a⊥ b if and only if a\cdot b =0 where \cdot is the dot product defined in \mathbb{R}^n. Suposse that b\neq 0. We want to find γ such that (a-\gamma b)\cdot b=0. Given that the dot product can be distributed and that it is linear, the following equation is obtained

(a-\gamma b)\cdot b = 0 = a\cdot b - (\gamma b)\cdot b= a\cdot b - \gamma b\cdot b

Recall that a\cdot b, b\cdot b are both real numbers, so by solving the value of γ, we get that

\gamma= \frac{a\cdot b}{b\cdot b}

By construction, this γ is unique if b\neq 0, since if there was a \gamma_2 such that (a-\gamma_2b)\cdot b = 0, then

\gamma_2 = \frac{a\cdot b}{b\cdot b}= \gamma

6 0
3 years ago
Shown here is a frequency distribution for the rise in tides at 30 selected locations in the U.S.Find the variance and standard
SSSSS [86.1K]
It’s is going to be 15 since 30/2 equals 15
8 0
2 years ago
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The Russian soccer goalie has saved 17 out of the last 20 shots but the Italian soccer goalie has saved 12 out of the last 14 sh
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Answer:

The italian goalie: 85.7%

Step-by-step explanation:

17 / 20 = 85% (Russian)

12 / 14 = 85.7% (Italian)

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2 years ago
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