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Marina86 [1]
3 years ago
9

Find the value of x, given cos 0 = 0.4 PLEASE HELP!!!!!! And explain if possible

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
8 0

Answer:

x=30

Step-by-step explanation:

For each right-angled triangle:

\cos\theta=\frac{cathetus \ adjacent \ \theta}{hypotenuse}

Because \cos \theta=0.4, \ \ cathetus\ adjacent \ \theta \ = \ 12, \ \ \ hypotenuse=x

we have an equation

0.4=\frac{12}x

multiplying both sides by x, we get 0.4x=12

dividing both sides by 0.4 and x=\frac{12}{0.4}

using calculator, we divide 12 by 0.4

and finally x=30


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Prove: Quadrilateral ABCD is a parallelogram.
Brilliant_brown [7]

Answer:

Step 3.

m∠ AEB = m∠ CED .........By  Vertical Angles Theorem.

Step-by-step explanation:

Vertical Angles Theorem:

Vertical angle theorem states that vertical angles, angles that are opposite each other and formed by two intersecting lines,are congruent.

If two lines intersect each other we have two pair of vertical opposite angles. As shown in the figure.

Here,

∠ 1 and ∠ 2 are vertical opposite angles and also they are equal.

∠ 3 and ∠ 4 are also vertical opposite angles and also they are equal.

For,

step 3. m∠ AEB = m∠ CED

Therefore, the reason for step 3 of this proof is Vertical Angles Theorem.

6 0
3 years ago
jake spends 2 hours on each homework assignment and he had 3 assignments each day.orlando spend 2 hiurs on each homework assignm
Andrej [43]
Ok so u have to multiply for this one

Work *Jake*:

So he spends 2 hours on each assignment. He has 3 assignments so u have to do :
2*3=6
 
He spend 6 hours a day doing home work so now u have to multiply that by 30:
6*30=180

Work *Orlando*:

So he spends 2 hours on each homework. He has 2 sheets each do so u have to multiply 2 and 2: 
2*2=4

He spends 4 hours a day doing homwork so u  have to multiply it by 30: 
4*30=120


Answer:
 

So Jake spends 130 hours
Orlando spends 120 hours 

Add both together:
120+130=250

They spend 250 hours together on work in 30 days/
4 0
3 years ago
Read 2 more answers
Solve the following system of equations and show all work. <br><br> y = -x^2 + 4<br> y = 2x + 1
Pavel [41]
-x^2 + 4 = 2x + 1
-x^2 - 2x + 4 - 1 = 0
-x^2 - 2x + 3 = 0
(x + 3)(-x + 1)= 0

x + 3 = 0           -x + 1 = 0
x = -3                -x = -1
                          x = 1

so x = -3 and x = 1
8 0
3 years ago
Which of the following is not a correct way to represent the ratio 5 to 2 a)2/5 c)5:2 b)5/2 d) 10:4
lianna [129]

Answer:

A

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Suppose 6 of 15 students in a grade-school class develop influenza where 20 percent of grade-school students nationwide develope
Snowcat [4.5K]
I am not sure what the question is here. I can tell you how to find the percent of kids that developed influenza in that class. We can compare it to the 20% of students nationwide. There could many different questions that stem from the piece of information you gave.

To find the percent of kids that developed influenza in that class do 6÷15 which gives you
.4 and written as a percent would be 40%.

Please message me if you have any questions! Hope this helps!
6 0
3 years ago
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