I need help asap! this lesson is hard and im trying to understand it

Mathematics

1 answer:

Nady [450]2 years ago

4 0

Answer:

29.33

Step-by-step explanation:

Recall SOH CAH TOA

SOH= Sinα=opposite/hypotonouse

CAH= cosα=adjacent/hypotonouse

TOA= tanα=opposite/adjacent

To find angle C we'll use TOA

which means we take the lenght opposite to d and adjacent to d

which means we have

tand=10/6

d=tan⁻1(10/6)

d=59

to find length z let's use SOH CAH TOA again (for the practice)

This time let's use angle z and SOH

which means we have

sin(64.5)=z/32.5

Solve for z

32.5sin(64.5)=z

z=29.33

*note* if you use a²+b² for number two you get a sligthly different answer. This is because when they rounded when they wrote 64.5**

You might be interested in

The question is, "Find the volume of the bodies given in the figures below, which have a hole along their entire length." How do

aniked [119]

Answer:

1782 cm³

Step-by-step explanation:

First, you measure the volume of the cuboid as a whole which is length x breadth x height, 9 x 12 x 18 = 1944 cm³. Then measure the volume occupied by the space, 3 x 3 x 18 since the hole runs along the entire length = 162 cm³.

Then you subtract the volume occupied by the hole from the volume of the cuboid in total, 1944 - 162 = 1782 cm³

4 0

2 years ago

Three numbers X, Y, and Z are in the ratio 2:7:8. If 12 is subtracted from Y, then three numbers form a geometric sequence (in t

Dimas [21]

A geometric sequence is a sequence in which there is a common ratio between any two consecutive terms. In this case if X:Y:Z are in the ratio of 2:7:8 the multiplying by a constant k, we have X=2k, Y= 7k and Z=8k.
Then if X, Y-12, Z form a Geometric sequence, it means X/Y-12=Y-12/Z which is the same as 2k/7k-12=7k-12/8k if we cross multply, we get
16k²= 49k²-168k +144
33k²-168k+144 =0 solving for k
k = 4 or 1.091 if we take the whole number to find the values of X,Y and z,
X= 8, Y= 28 and Z=32

3 0

3 years ago

Several years ago, 39% of parents who had children in grades K-12 were satisfied with the quality of education the students r

BaLLatris [955]

<h2>Answer with explanation:</h2>

Let p be the population proportion of parents who had children in grades K-12 were satisfied with the quality of education the students receive.

Given : Several years ago, 39% of parents who had children in grades K-12 were satisfied with the quality of education the students receive.

Set hypothesis to test :

$H_0: p=0.39\\\\H_a :p\neq0.39$