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3 years ago

Instructions: Find the measure of the indicated angle to the nearest

Mathematics

1 answer:

Alexandra [31]3 years ago

5 0

Answer:

x = 23

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp /adj

tan ? = 3/7

Taking the inverse tan of each side

tan ^-1 ( tan ?) = tan ^-1 (3/7)

?=23.19859

To the nearest degree

x = 23

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Find a vector equation and parametric equations for the line. (Use the parameter t.) The line through the point (0, 11, −8) and

NNADVOKAT [17]

Answer:

The vector equation of the line is $\overrightarrow {r}=(11j-8k)+t(4i-4j+6k)$ and parametric equations for the line are $x=4t$ , $y=11-4t$ , $z=-8+6t$ .

Step-by-step explanation:

It is given that the line passes through the point (0,11,-8) and parallel to the line

$x=-1+4t$

$y=6-4t$

$z=3+6t$

The parametric equation are defined as

$x=x_1+at,y=y_1+bt,z=z_1+ct$

Where, (x₁,y₁,z₁) is point from which line passes through and <a,b,c> is cosine of parallel vector.

From the given parametric equation it is clear that the line passes through the point (-1,6,3) and parallel vector is <4,-4,6>.

The required line is passes through the point (0,11,-8) and parallel vector is <4,-4,6>. So, the parametric equations for the line are

$x=4t$

$y=11-4t$

$z=-8+6t$

Vector equation of a line is

$\overrightarrow {r}=\overrightarrow {r_0}+t\overrightarrow {v}$

where, $\overrightarrow {r_0}$ is a position vector and $\overrightarrow {v}$ is cosine of parallel vector.

$\overrightarrow {r}=(11j-8k)+t(4i-4j+6k)$

Therefore the vector equation of the line is $\overrightarrow {r}=(11j-8k)+t(4i-4j+6k)$ and parametric equations for the line are $x=4t$ , $y=11-4t$ , $z=-8+6t$ .

3 0

3 years ago

Which of the following is a perfect square<br> A. 13<br> B. 100<br> C. 127<br> D. 102

KiRa [710]

The answer is B. 100

8 0

3 years ago

HI everyone, this questions last part is hard, I promise to give BRAINLIEST to the first correct answer, and I always keep up my

sertanlavr [38]

$\huge\underline{Answer ☘}$

a) students that travel to school by car = 14

students that do not travel to school by car = 11

total number of students = 14 + 11 = 25

percentage of students that do not travel by car =

$\frac{11}{\cancel{25}} \times \cancel{100} \\ \\ = > 11 \times 4 \\ = > 44\% \\$

b) 3 since we've 4 such cars in which 2 students travel , which gives us 8 students. then we've 1 car in which 3 students travel . adding them up , we get 8 + 3 = 11 students.

we've to find the number of cars that carry just 1 student.

this can be found by ,

14 - 11 = 3 cars

$mean \: = \: \frac{sum \: of \: observations}{total \: number \: of \: observations} \\ \\ mean \: = \frac{8}{6} => \frac{4}{3} \\ \\ = > 1.33$

hope helpful ~

8 0

2 years ago

The radius of a sphere is 6 units.Which expression represents the volume of the sphere, in cubic units?

klasskru [66]

Answer:

V=(4/3)πr^3

Step-by-step explanation:

This is the equation to find the volume of a sphere

V=(4/3)πr^3

than plug in 6 for x, and solve

6 0

3 years ago

Read 2 more answers

What is the rate of change?? please i need asap

Mariana [72]

Answer: Rate of change is used to mathematically describe the percentage change in value over a defined period of time, and it represents the momentum of a variable. ... Subtract one and multiply the resulting number by 100 to give it a percentage representation.

Step-by-step explanation:

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3 years ago