Ask question

Ask question

All categories

3 years ago

13

Can someone please help me show my work for 6. And 7. I really need help and haft to show how I got the answers I’ll give the br

ainly to the brainliest :)

1 answer:

xz_007 [3.2K]3 years ago

6 0

Answer 6
4x -2y +3z^4
4(0) - 2(1) + 3(2)^4
0 - 2 + 24
Answer7

You might be interested in

Plz help me well mark brainliest if correct.......????

natka813 [3]

Answer:

D

Step-by-step explanation:

shows change over time

4 0

3 years ago

From a point on the ground that is 120 feet from the base of a vertical tree, the angle of elevation to the top of the tree is 3

andriy [413]

Answer:

$\boxed {\boxed {\sf 69.28 \ feet}}$

Step-by-step explanation:

Assuming that the tree is perpendicular with the ground, we can use trigonometric ratios to find the height of the tree.

First, let's draw a diagram. From the point on the ground to the base, it is 120 feet and forms a 30 degree angle. We want to find the height of the tree, which is labeled h. (The diagram is attached and not to scale).

Next, recall the ratios.

sin(θ)= opposite/hypotenuse
cos(θ)= adjacent/hypotenuse
tan(θ)= opposite/adjacent

We see that the height is opposite the 30 degree angle and 120 is adjacent.

opposite=h
adjacent=120

Since we are given opposite and adjacent, we must use tangent.

$tan ({\theta)=\frac{opposite}{adjacent}$

Substitute the values in.

$tan(30)=\frac{h}{120}$

We are solving for h, so we must isolate it. It is being divided by 120 and the inverse of division is multiplication. Multiply both sides by 120.

$120*tan(30)=\frac{h}{120}*120$

$120*tan(30)=h$

$120*0.5773502692=h$

$69.2820323=h$

Round to the hundredth place (2 decimal places). The 2 in the thousandth place tells us to leave the 8 in the hundredth place.

$69.28 \approx h$

The height of the tree is about <u>69.28 feet.</u>

5 0

3 years ago

A company sells confetti in boxes in the shape of a triangular pyramid. Each box contains 240 cubic centimeters of confetti. If

kvv77 [185]

Answer:

Base, 8 cm; height, 4 cm i think

Step-by-step explanation:

5 0

3 years ago

Through (2,-2) parallel to y= -1/2x+5

Rzqust [24]

The equation of line passing through (2, -2) and parallel to $y = \frac{-1}{2}x+5$ is $y = \frac{-x}{2}-1$

<em><u>Solution:</u></em>

We have to find the equation of line passing through (2, -2) and parallel to $y = \frac{-1}{2}x+5$

<em><u>The equation of line in slope intercept form is given as:</u></em>

y = mx + c ------- eqn 1

Where "m" is the slope of line and "c" is the y-intercept

On comparing the given equation of line $y = \frac{-1}{2}x+5$ with eqn 1,

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

We know that slope of a line and slope of line parallel to it is always equal

Therefore, slope of line parallel to given line is also $m = \frac{-1}{2}$

Substitute (x, y) = (2, -2) and $m = \frac{-1}{2}$ in eqn 1

$-2=\frac{-1}{2}(2)+c\\\\-2 = -1+c\\\\c = -2+1\\\\c = -1$

Substitute c = -1 and $m = \frac{-1}{2}$ in eqn 1

$y = \frac{-1}{2}x -1\\\\y = \frac{-x}{2}-1$

Thus equation of line parallel to given line is found

8 0

3 years ago

An ice cream store sells 28 flavors of ice cream. Determine the number of 4 dip sundaes.

weeeeeb [17]

Answer:

$20,475\ ways$

Step-by-step explanation:

we know that

<u><em>Combinations</em></u> are a way to calculate the total outcomes of an event where order of the outcomes does not matter.

To calculate combinations, we will use the formula

$C(n,r)=\frac{n!}{r!(n-r)!}$

where

n represents the total number of items

r represents the number of items being chosen at a time.

In this problem

$n=28\\r=4$

substitute

$C(28,4)=\frac{28!}{4!(28-4)!}\\\\C(28,4)=\frac{28!}{4!(24)!}$

simplify

$C(28,4)=\frac{(28)(27)(26)(25)(24!)}{4!(24)!}$

$C(28,4)=\frac{(28)(27)(26)(25)}{(4)(3)(2)(1)}$

$C(28,4)=20,475\ ways$

6 0

3 years ago