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astra-53 [7]
3 years ago
5

Which lines have slope -4/5 and contain point (0,1)?

Mathematics
1 answer:
Oksanka [162]3 years ago
6 0
I believe it was BC, to find that answer, you simply find the point (0,1) where 0 is x and y is 1. There were two lines which made me not think twice but since it is negative, the lines should be going to the left side rather than the right. So the slope which is y over x of -4/5, to find that, you count up 4 and over 5
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In ΔSTU, the measure of ∠U=90°, ST = 9.7 feet, and US = 4 feet. Find the measure of ∠T to the nearest degree.
pogonyaev

We have been given that in ΔSTU, the measure of ∠U=90°, ST = 9.7 feet, and US = 4 feet. We are asked to find the measure of ∠T to the nearest degree.

First of all, we will draw a right triangle using our given information.

We can see that US is opposite to angle T and ST is hypotenuse of right triangle.

We know that sine relates opposite side of right triangle to hypotenuse.

\sin=\frac{\text{Opposite}}{\text{Hypotenuse}}

\sin(\angle T)=\frac{US}{ST}

\sin(\angle T)=\frac{4}{9.7}

Now we will use arcsin to solve for measure of angle T as:

\angle T=\sin^{-1}(\frac{4}{9.7})

\angle T=24.353873017978^{\circ}

Upon rounding to nearest degree, we will get:

\angle T\approx 24^{\circ}

Therefore, the measure of angle T is approximately 24 degrees.

4 0
3 years ago
PLEASE HELPPP !!!
baherus [9]

Answer:

<em>1) 6%</em>

<em>2) $1,689.35</em>

Step-by-step explanation:

1) Given the following

Sales tax = $64.80

Price of the computer = $1080

Required

rate of sales tax

Using the expression

x% of 1080 = 64.80

x/100 * 1080 = 64.80

10.80x = 64.80

x = 64.80/10.80

x = 6%

<em>Hence the rate of sales tax is 6%</em>

<em></em>

2) Given the following

Price of the car = $25,990

Tax rate = 6.5%

Sales tax charged = 6.5% of $25,990

Sales tax charged = 6.5/100 * 25,990

Sales tax charged = 6.5 * 259.9

Sales tax charged = $1,689.35

<em>hence the sales tax being charged is $1,689.35</em>

7 0
3 years ago
In the figure, assume that angles that appear to be right angles are right angles.
Kaylis [27]

Answer:

45

Step-by-step explanation:

split the shape in three parts, 3*5 + 6*4 + 3*4/2

4 0
2 years ago
What do all simple machines have in common?
Arisa [49]

Answer:

D: All of the above.

Step-by-step explanation:

A. All simple machines are useful in some way, weather that be making it easier to lift heavy objects, activating other machines, or something else.

B. Any simple machine must be, well, simple. i. e. have few moving parts.

Take the lever, for example. It has only one moving part, yet it is still very useful.  

C. They can be used to do work. Simple machines can be put together to make something that can do work.

Imagine a windmill that generates power, which then is taken by a motor attached to an Archimedes screw. All of these machines are simple, yet they are still used to do work.

7 0
3 years ago
What is 92/100 simplified to lowest terms
nataly862011 [7]
Well you have to find the GCF. The GCF in this problem would be 4. So divide 92 and 100 by 4. 92/4 is 23 and 100/4 is 25. So 92/100  is 23/25 in lowest terms.
7 0
4 years ago
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