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nexus9112 [7]
2 years ago
8

Hi answer for this please

Mathematics
1 answer:
miv72 [106K]2 years ago
3 0

Answer:

x+79degree + 35degree = 180 degree ( being the sum of all angle of the triangle )

or, x + 114 degree = 180 degree

or, x = 180degree - 114degree

or, x = 66degree

hence, x = 66 degree.

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the first three steps of completing the square to solve the quadratic equation X2+4X-6=0 are shown below. what re the next 3 ste
Vilka [71]

Answer:

see the explanation

Step-by-step explanation:

<u><em>The complete question is</em></u>

The first three steps of completing the square to solve the quadratic equation x2 +4x -6= 0, are shown below.

Step 1: x2 +4x= 6

Step 2: x2 +4x+4=6+4

Step 3: (x +2)^2=10

What are the next 3 steps?​

we have

step 4

Take square root both sides

\sqrt{(x+2)^2} =\sqrt{10}

step 5

Simplify

x+2=\pm\sqrt{10}

step 6

Solve for x

subtract 2 both sides

x=-2\pm\sqrt{10}

x_1=-2+\sqrt{10}

x_2=-2-\sqrt{10}

3 0
2 years ago
Divide. Write in simplest form. 10 divided by 1 2/3 ?
adell [148]

Answer: 6

Step-by-step explanation: First rewrite 10 as 10/1 and 1 and 2/3 as 5/3.

Mixed numbers can be changed to improper fractions by multiplying the denominator by the whole number and then adding the numerator. We then put out numerator over our old denominator.

So we have 10/1 ÷ 5/3 or 10/1 × 3/5.

It's important to understand that dividing by a fraction is the same as multiplying by its reciprocal. In other words, we can change the division to multiplication and flip the second fraction.

Now multiplying across the numerators and across the denominators, we have 30/5. Notice however that 30/5 is not in lowest terms so we divide the numerator and the denominator by the greatest common factor of 30 and 5 which is 6 and we end up with 6.

Therefore, 10 ÷ 1 and 2/3 = 6.

8 0
2 years ago
If a hose is filling a swimming pool at a rate of 20 liters per minute, how long will it take to fill the 3,600-gallon pool?
Cloud [144]

Answer: the correct answer is 11 hours, 21 seconds and 3738 fractions of a second.

Step-by-step explanation:

An American gallon has 3.78541 liters.

3,600 gallons are 13,627.46 liters since 3,600 gallons * 3.78541 liters per gallon= 13,627.46 liters

We will need 681.3738 minutes to fill the pool since 13,627.46 liters divided by 20 liters per minute = 681.3738 minutes

681.3738 minutes is 11 hours and 21.3738 seconds since 11*60 minutes + 21.3738 minutes = 660 minutes + 21.3738 seconds = 681.3738 or 681.3738 divided by 60 minutes ( 1 hour ) is 11 hours and 21.3738 seconds.

7 0
3 years ago
How can I find the volume of a cone 9 radius and 18 height​
Anastasy [175]

Answer:

V = 486\pi, or approx. 1,526.814

Step-by-step explanation:

V = \pi*r²*(h/3)

plug in the numbers: V = \pi * (9)² * (18/3)

simplify: V = \pi * 81 * 6

simplify: V = 486\pi, or approx. 1,526.814

6 0
3 years ago
Read 2 more answers
The quadrilateral WXYZ has vertices W(3,-5) X(1,-3) Y(-1,-5) and Z(1,-7)
dmitriy555 [2]
The preimage WXYZ is to undergo a rotation of 90° in the clockwise direction.
A 90° clockwise rotation leads to the following change in the coordinates;
(x,y) -> after rotation (y,-x)
this rule applies for all the vertices in the preimage
W - (3,-5)  --> W' (-5,-3)
X - (1,-3) ---> X' (-3,-1)
Y - (-1,-5)---> Y' (-5,1)
Z - (1,-7) ---> Z' (-7,-1)
therefore the new coordinates are W' (-5,-3), X' (-3,-1), Y' (-5,1) and Z' (-7,-1)
5 0
3 years ago
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