Find the measure of x in each figure.

Answers

Answer 1

Answer:

Step-by-step explanation:

Because 2x and 40° are complementary angles.

$\therefore \: (2x) \degree + 40 \degree = 90 \degree \n \n \therefore \: (2x) \degree = 90 \degree - 40 \degree \n \n \therefore \: (2x) \degree = 50 \degree \n \n \therefore \: 2x = 50 \n \n \therefore \: x = (50)/(2) \n \n \huge \red{ \boxed{ \therefore \: x = 25}}$

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Explain how to graph information from the table

Answers

The table gives you x and y coordinates. The graph has an x and y axis. Your x coordinates are paired with your y coordinates. Remember to always start at the origin, when plotting your points. For example, if the table gave you 2 for x and 3 for y. You would go 2 units across and 3 units up. Then, plot that point. Continue plotting the points and then if it's a linear graph, make a line with a ruler going through the points.

Answer:

Plot the ordered pairs (2, 5) and (4, 10). Start at (4, 10). Move right 2 and up 5, and then plot a point. Use the same rate to plot other points. You could also draw a line through the origin and the two given points. Any point on the line represents an equivalent ratio.

Step-by-step explanation:

Can you walk me through the steps: 3t+2+2t-4t=3+5

Answers

to find t? yes.

First, you combine like terms so 3t and 2t and 4t. Add 3 and 2 and then subtract the 4. you will end up with 1t (just t) +2. you cannot add the 2 because it does not have the variable t. on the other side, you will also combine like terms. so 3+5=8. now your equation is t+2=8. this is the part where you will try to get t by itself. subtract the 2 from the left side. but in order for the equation to stay equal to itself, you have to subtract 2 from the right side as well. this will leave you with your final answer of t=6.

Question three is that what you have the answer please help me as soon as possible

Answers

☻ ~~~~~~~~~~~~ Hello! ~~~~~~~~~~~~~~~ ☻

➴ The correct answer is D. -9, -2, 0, 4, 7

You can look at the number line starting from the negative side and work your way up to order from least to greatest. You also know that the higher number that negative numbers are, the lesser value it has. So the highest numbered negative number, is always the least.

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ ♡

Find the exact values of sin θ/2 and cos θ/2 for sin θ = 3/4 on the interval 0° ≤ θ ≤ 90°

Answers

Answer:

Step-by-step explanation:

If our interval is between 0 and 90 degrees, that means that our angles are first quadrant angles. Since the formulas for the half angles of sin and cos consider both the positive and negative roots, knowing that we are in QI leaves us using only the principle, or positive, root.

Also, if we know that the sin of angle is 3/4, we can set up a right triangle in QI and find the missing side of that triangle using Pythagorean's Theorem. Sin of an angle is the ratio opposite side/hypotenuse. That means that, according to Pythagorean's Theorem,

$4^2=3^2+b^2$ and

$16-9=b^2$ and

$b=√(7)$

Now for the forula for the sin of a half-angle:

$sin((\theta)/(2))=\sqrt{(1-cos\theta)/(2) }$

Referring to the right triangle we created and found the missing side for, we see that the cosine of that same triangle is $(√(7) )/(4)$

Filling in the formula then:

$sin((\theta)/(2))=\sqrt{(1-(√(7) )/(4) )/(2) }$

Get a common denominator on the upper fraction:

$sin((\theta)/(2))=\sqrt{((4-√(7) )/(4) )/(2) }$

Bring up the 2 as 1/2 to multiply and get:

$sin((\theta)/(2))=\sqrt{(4-√(7) )/(8) }$

When you do the exact same thing to find the cos of the half angle, you are using a + sign instead of a - sign under the radical. That gives you as your exact value:

$cos((\theta)/(2))=\sqrt{(4+√(7) )/(8) }$

Can you tell the number of digits that will be in the quotient for 627 ÷ 9 by only looking at the problem? Explain

Answers

9 can't go into 6 but 9 can go into 62 so the number of digits will be 2 in the tens place. If you're looking for the answer, it is 69.6666666667 but this will have a remainder.

69R2 but if that's wrong try it in long division

What radius of a circle is required to inscribe a regular hexagon with an area of 210.44 cm2 and an apothem of 7.794 cm

Answers

we know that

[area of a regular hexagon]=6*[area of one equilateral triangle]
210.44=6*[area of one equilateral triangle]
[area of one equilateral triangle]=210.44/6-----> 35.07 cm²

[area of one equilateral triangle]=b*h/2
h=7.794 cm
b=2*area/h------> b=2*35.07/7.794------>b= 9 cm

the length side of a regular hexagon is 9 cm
applying the Pythagorean theorem
r²=h²+(b/2)²------>r²=7.794²+(4.5)²------> r²=81--------> r=9 cm

this last step was not necessary because the radius is equal to the hexagon side------> (remember the equilateral triangles)

the answer is
the radius is 9 cm

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