In parallelogram QRST if RT=16 find RU.
R
S
U
Q
T

Answer:

take 48 degree as reference angle

use sine rule

sin48=opposite/hypotenuse

0.74=5.4/x

x0.74=5.4

x=5.4/0.74

x=7.29  m

Step-by-step explanation:

Answer:

[tex]sin 48 = \frac{5.4}{X}\\\\X = \frac{5.4}{sin 48}= 7.27m[/tex]

Answer:

need help asap

Step-by-step explanation:

Answer: Maybe a

Step-by-step explanation:

I mean it is confusing but still look over it

Answer:

The bottom one looks correct

Step-by-step explanation:

Any number from 1-infinity will make that true

Answer:

Step-by-step explanation:

P=4/28=1/7

Answer:

14.3% or 1/7

Step-by-step explanation:

4 / 28

4 students who play a sport and instrument divided by 28 total students

Answer:

ok so slope intercept for is y=mx+b, or y=slope x + y intercept. Sooo it would be y=0.5x-2 :) hope this helps

Step-by-step explanation:

Answer:

y = 1/2 x - 2

Step-by-step explanation:

Slope-intercept form:

y = mx + b

You need to solve for y.

-x + 2y = -4

2y = x - 4

y = 1/2 x - 2

Answer:

X = 1.71

or

X = 1.70951

Step-by-step explanation:

Good Luck!

The required value of x for the given equation is approximately 1.71.

When the expression of function is such that it involves the input to be present as exponent (power) of some constant, then such function is called exponential function. There usual form is specified below. They are written in several such equivalent forms.

Equation:

The given equation is [tex]10(1.5)^{3x} = 80[/tex]

Divide both sides by 10.

[tex](1.5)^{3x} = \dfrac{80}{10}\\\\(1.5)^{3x} = 8[/tex]

Taking log on both sides, we get

[tex]log (1.5)^{3x} = log 8\\\\3x log (1.5) = log 8[/tex]

Divide both sides by 3log(1.5).

x = log 8/ 3log(1.5)

x = 1.71

Therefore, the required value of x for the given equation is approximately 1.71.

Find out more about 'Equation' here:

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Answer:

y=-2x+13

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(5-3)/(4-5)

m=2/-1

m=-2

y-y1=m(x-x1)

y-3=-2(x-5)

y=-2x+10+3

y=-2x+13

Answer:

The area of the triangle is of 6 units squared.

Step-by-step explanation:

Representation of the triangle:

This triangle, in the cartesian plane, has the vertices at these following points.

(7,7)

| -> 4 units down

(7,3) --- (10,3) -> 3 units to the right.

This can be represented as a right triangle with sides 4 and 3.

Area of a right triangle:

The area of a right triangle is the multiplication of the lengths of its sides divided by 2. So

4*3/2 = 12/2 = 6.

The area of the triangle is of 6 units squared.

Answer:

the width is 15

Step-by-step explanation:

Step-by-step explanation:

x²=6²+8²

=36+64

= 100

x=√100 = 10

Answer:

[tex]\displaystyle 10 = x[/tex]

Step-by-step explanation:

[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 8^2 + 6^2 = x^2 \hookrightarrow 64 + 36 = x^2 \hookrightarrow \sqrt{100} = \sqrt{x^2} \\ \\ \boxed{10 = x}[/tex]

We only want the NON-NEGATIVE root sinse we are measuring the length of the hypotenuse.

I am joyous to assist you at any time.

Answer:

Alcohol intake

Step-by-step explanation:

The Independent variable also called the predictor variable may be described as the treatment which is given a subject or factors which is expected to induce a change in our measured variable which is called the predicted or dependent variable. During research, the test various factors which are expected to cause a change are the independent variable, whereas, the variable which is measured as a result of the changes caused due to the different independent variables is the dependent variable. In the scenario above, we wish to measure braking speed after the subjects have been given a certain ounce of alcohol, this ounce of alcohol is the treatment which is expected to cause a variation in the braking speed of the participants. Hence, alcohol intake is the independent variable while braking speed is the dependent variable.

Answer:

x=3, y=3√2

Step-by-step explanation:

This is a right isosceles triangle, so the sides of the main vertex are equal, so x=3

Using Pythagorean theorem:

y²=3²+3²=9+9=18

y=√18=3√2

Answer:

131/156 or about 84%

5/14 or about 36%

Step-by-step explanation:

P(<6 classes) = number of males and females not taking 6 out of total males and females, which is 131/156 or about 84%

P(M,5) = 74/156 x 20/74 which reduces to 5/14

Answer:

10

Step-by-step explanation:

If you look at it closely you can see its a complete circle.... on the sides its 12 then as you go to the center the first one is ten and the dot is in the center which should make it 10.

Answer:

it's basically 10, both sides are equal

Step-by-step explanation:

Answer:

Is this the full question?

Answer:

21 feet²

Step-by-step explanation:

To find the area of a composite figure, we can break the shape into pieces and solve for the area separately.

There are multiple ways to separate the figure, but for this explanation we will break it into two rectangles, 5×3 and 3×2.

The area of a rectangle can be found by multiplying the length and width of the shape. So for the left rectangle, we will multiply 5 by 3.

5 · 3 = 15

The area of our first rectangle is 15 ft².

Next, we will find the area of the right rectangle, by multiplying 3 by 2.

3 · 2 = 6

The area of the second rectangle is 6 ft².

Now we can add the areas, 15 and 6, together to find the total area.

15 + 6  = 21

The area of the figure is 21 ft².

I hope this helps ^^ Good luck ∩_∩

Answer:

x=3 because 5-2=3 meaning 3+2=5

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

x+2-2=5-2

x=3

subtract 2 from both sides of the equation

Answer:

[tex]\frac{a^2 + b^2 +c ^2}{a*b + a*c + b*c} = -2[/tex]

Step-by-step explanation:

if:

a + b + c = 0

then we can rewrite:

c = -a - b

Now we can replace this in our expression:

[tex]\frac{a^2 + b^2 + c^2}{a*b + a*c + b*c} = \frac{a^2 + b^2 + (-a - b)^2}{a*b + a*(-a - b) + b*(-a - c)}[/tex]

Now we can rewrite:

(-a - b)^2 = a^2 + 2*a*b + b^2

Then we can rewrite our expression as:

[tex]\frac{a^2 + b^2 + a^2 + b^2 + 2*a*b}{a*b - a^2 - a*b - b^2 - b*a}[/tex]

Let's keep simplifying this:

[tex]\frac{2*(a^2 + b^2 + a*b)}{-a*b - b^2 - a^2}[/tex]

Here is easy to see the simplification we need to do, as we have the same factor in the denominator as in the numerator (just a different of sign).

[tex]\frac{2*(a^2 + b^2 + a*b)}{-a*b - b^2 - a^2} = \frac{2*(a^2 + b^2 + a*b)}{-(a^2 + b^2 + a*b)} = -2[/tex]

Then the expression is equal to -2

[tex]\frac{a^2 + b^2 +c ^2}{a*b + a*c + b*c} = -2[/tex]

Answer:

By using the pythagorean theorem a^2 + b^2 = c^2

D is the correct answer Where PQ

= √15^2+√19^2

=√ 225 + √361

= √ 586

Length of PQ = √586 = 24.2074368738(ans)

Answer:

D.21,600 kilograms

Step-by-step explanation:

The volume of the tank is Length x Width x Height (6*1.5*2.4)

So the volume is 21.6 cubic meters.

Therefore, there are 21.6 cubic meters of water.

The density of water is 1,000 kg per cubic meter. So multiply 1,000 to the number of cubic meters. (1,000*21.6)

The mass of the water in the tank is 21,600 kg

Answer: No

Step-by-step explanation:

Data: x+14<20

x=9? Is what your trying to find

Step one, Isolate x by subtracting 14 on both sides

X+14-14<20-14=X=6

Reason: Since you are trying to find if x=9, you have to isolate it. The way to do that is to get rid of +14 by subtracting it by 14. However, since what you do to one side you do to the other, you subtract +20 by 14 to get 6.

Since x=6 isn't x=9, the answer is No

Answer: No

I hope this helps!

Answer:

its 504 ok...........................

504. If you multiply all the numbers together, you get all the possible combinations of such events

Answer:

your answer has to be A or B  cuz the rest fo match up with the measurements

Step-by-step explanation:

Answer:

Step-by-step explanation:

take 45 degree as reference angle

using sin rule

sin 45=opposite/hypotenuse

1/[tex]\sqrt{2}[/tex]=x/26

x=26/[tex]\sqrt{2}[/tex]

x=13[tex]\sqrt{2}[/tex]

x=18.38

x=18.4

The length of the perpendicular side of the triangle ΔGFE will be 18.38 units.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

The triangle ΔGFE is shown. And the angle ∠GFE is a right angle.

We know that the sine of an angle is the ratio of the perpendicular to the hypotenuse. Then we have

sin 45° = x / 26

x = 26 sin 45°

x = 26 × 0.707

x = 18.38 units

The length of the perpendicular side of the triangle ΔGFE will be 18.38 units.

More about the triangle link is given below.

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y = -3(x - 6)

y = -3x + 18

3x + y = 18

Answer:

Each person would receive 2.8 kilograms of peaches.