Answers
Answer:
[tex]\boxed {\boxed {\sf x=28}}[/tex]
Step-by-step explanation:
This is a right triangle. The small square in the corner represents a 90 degree angle. We can use trigonometry. The three major ratios are:
sin(θ)=opposite/hypotenuse cos(θ)=adjacent/hypotenuse tan(θ)= opposite/adjacentThe angle, or θ, is 60 degrees. The side measuring 14 is adjacent to this angle. x is the hypotenuse because it is opposite the right angle. Since we have the adjacent side and the hypotenuse, we use cosine.
[tex]cos (\theta) = \frac {adjacent}{hypotenuse}[/tex]
[tex]cos(60)= \frac{14}{x}[/tex]
Since we are solving x, we must isolate the variable. First, cross multiply.
[tex]\frac {cos(60)}{1}= \frac{14}{x}[/tex]
Multiply the first numerator (cos60) by the second denominator (x).
Then, multiply the first denominator (1) by the second numerator (14)
[tex]cos (60)*x= 14*1[/tex]
[tex]cos(60)*x= 14[/tex]
The cosine of 60 is equal to 1/2,
[tex]\frac{1}{2} x= 14[/tex]
x is being multiplied by 1/2. The inverse of multiplication is division. Divide both sides of the equation by 1/2. Since this is a fraction, you can also multiply by the reciprocal: 2.
[tex]2* \frac{1}{2} x= 14 *2[/tex]
[tex]x=14 *2\\ x=28[/tex]
The hypotenuse, x, is equal to 28.
Related Questions
The list represents the sample space of spinning two spinners at the same time if each spinner is numbered 1 through 5 and can only land in one of the numbered sections (not on a line). How many total possible outcomes are there in the sample space?
Select one:
5
20
10
25
Answers
Answer:
5 is the required answer for your question .
hope it is helpful to you
If 3x + 10 = 10 + 2x, what is the value of x?
A) x = 4
B) x = -4
C) x = -1
D) x = 0
Answers
Answer:
x=0
Step-by-step explanation:
3x + 10 = 10 + 2x
Subtract 2x from each side
3x-2x + 10 = 10 + 2x-2x
x+10 = 10
Subtract 10 from each side
x+10-10 = 10-10
x=0
Answer:
x=0
Step-by-step explanation:
3x + 10 = 10 + 2x
Subtract 2x from each side
3x-2x + 10 = 10 + 2x-2x
x+10 = 10
Subtract 10 from each side
x+10-10 = 10-10
x=0
how many kilometers rode her bike in x minutes?
Answers
its g, yww .
5 = 0.5
10 = 1.0
15 = 1.5
20 = 2.0
25 = 2.5
Solve for x, rounding to the nearest hundredth.
6•10*=1
Answers
Answer:
ur an idiot
Step-by-step explanation:
At the grocery store you buy snacks
for $12 and a 6 pack of juices. The
total for the groceries is $15.15.
Write an equation to solve for the
cost of each juice.
Answers
Answer:
12+6x=$15.15 should be your answer :)
The table below show the approximate population of Virginia for 5 years. What is the
equation of the line of best fit?
Answers
Answer:
Y = 0.09X1 - 167.40
Step-by-step explanation:
Year (X) : 2000, 2004, 2006, 2007, 20008
Population (millions) (Y) : 7.08, 7.48, 7.64, 7.71, 7.77
Using technology, the regression model obtained is :
Y = 0.09X1 - 167.40
With a slope of 0.09 and intercept of - 167.40
Determine whether AB is tangent to the circle with center c
Answers
9514 1404 393
Answer:
yes, no, no
Step-by-step explanation:
The triangle will be a right triangle if the sum of the squares of the two short sides, less the square of the long side, is zero. (This is what the Pythagorean theorem tells you.) The angle where the radius meets the circle must be a right angle if the line is to be a tangent.
__
a) 3^2 +4^2 -5^2 = 9 + 16 -25 = 0 . . . . AB is a tangent
__
b) 9^2 +15^2 -18^2 = 81 +225 -324 = -18 . . . . AB is not a tangent
__
c) 10^2 +48^2 -52^2 = 100 +2304 -2704 = -300 . . . . AB is not a tangent
Which of the following represents the inequality for the sum of 11 and y is greater than -33? O11-y> -33 O 11+ y -33 11 + y 2-33
Answers
Answer:
11 + y > - 33
Step-by-step explanation:
To represent the expression :
Sum of 11 and y ; greater than - 33
Sum of 11 and y ; 11 + y
Greater Than - 33; > - 33
Hence ;
11 + y > - 33
If a polynomial function f(x) has roots 3 + sqrt5 and -6, what must be a factor of f(x)?
Answers
Answer:
(x - (3 - √5))Step-by-step explanation:
If there are roots:
3 + √5 and - 6, then another root should be 3 - √5So we would have factors of:
f(x) = (x - (3 - √5))(x - (3 + √5))(x + 6)Correct choice including the third factor is B
If a is a factor of f(x)
Then
(x-a)=0So if a=3+√5 and -6
The expression is
(x-(3-√5))(x-(3+√5))(x+6)=0Option B
Jake has proved that a function, f(x), is a geometric sequence. How did he prove that?
Answers
Answer:
He showed that f(n) ÷ f(n - 1) was a constant ratio.
Given that Jake has proved that a function f(x) is a geometric sequence.
GEOMETRIC SEQUENCE: A geometric sequence is a sequence of numbers where each term is found by multiplying the preceding term by a constant called the common ratio, r.
So, in Jame's proof, he showed that each term is multiplied by a constant to get the next term.
That is, if 'c' is the constant that was used in the proof, then we must have
This implies that
Therefore, he showed that f(n) ÷ f(n - 1) was a constant ratio.
Find the whole number equal to the fraction below. Enter your answer in the space provided. 21 /3
Answers
Answer:
the answer is 7
Step-by-step explanation:
divide the numerator (21) by the denominator (3) and you will get 7 as the answer hope this helped
For each of the following research scenarios, decide whether the design uses a related sample. If the design uses a related sample, identify whether it uses matched subjects or repeated measures. (Note: Researchers can match subjects by matching particular characteristics, or, in some cases, matched subjects are naturally paired, such as siblings or married couples.) Lorrin Koran has studied whether antidepressants are effective for treating kleptomania. Suppose that people with kleptomania typically score 72 on the Barratt Impulsiveness Scale. You want to see whether kleptomaniacs who are taking antidepressants score lower on the impulsiveness scale than the population average. The design described . You are interested in a potential treatment for compulsive hoarding. You treat a group of 50 compulsive hoarders and compare their scores on the Hoarding Severity Scale before and after the treatment. You want to see if the treatment will lead to lower hoarding scores.
The design described ___________.
Answers
Therefore , the solution of the given problem of unitary method comes out to be , the same group of subjects are measured both before and after the treatment .
What is an unitary method?The data from this nanosection should be compound by two in order to complete the task using the unitary method. In essence, the marked by either a set or the pigment parts of the unit method are skipped when a desired object is present. For forty pens, a variable charge of Inr ($1.01) would be required. It's possible that one country will have total influence over the approach taken to accomplish this. Almost every living creature has a distinctive quality.
Here,
Due to the absence of a comparison group or before-and-after measurements, the first study scenario does not use a related sample.
In the second study scenario, the same group of subjects are measured both before and after the treatment using a related sample and repeated measurements.
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someone help
NO LINK IM SO FR NO LINKS
Answers
Answer:
I think iit's no consistent
Step-by-step explanation:
no consistent because there is no multiplying happening and no consistent adding happening
What is the conjugate of the fraction
Answers
Answer:
-10 + [tex]\sqrt{17}[/tex]
Step-by-step explanation:
the importance of the conjugate is, when multiplied by the numerator and denominator, to remove the radical
for example, if you multiply (-10 - [tex]\sqrt{17}[/tex]) by (-10 + [tex]\sqrt{17}[/tex]) by using the foil method you get:
100 - 10[tex]\sqrt{17}[/tex] + 10[tex]\sqrt{17}[/tex] - 17
the two middle terms drop out and you are left with 83 in the denominator
A red pebble is equal to 3 yellow pebbles a blue pebble is equal to a red and 2 yellow pebbles a green is equal to 3 red pebbles. What is the value in pebbles of a green pebble and a blue pebble divided by 2 red pebbles and a yellow pebble
Answers
Answer: 2
Step-by-step explanation:
Given
Red pebble is equal to 3 yellow pebble
A blue marble is equal to a red pebble and 2 yellow pebble
A green pebble is equal to 3 red pebble
Suppose [tex]R,B,Y,G[/tex] represents red, blue, yellow, and green pebbles
[tex]\therefore R=3Y\\B=R+2Y\\G=3R[/tex]
Express Red in terms of yellow in blue pebble equation
[tex]B=3Y+2Y\\B=5Y[/tex]
Now, express Green Pebble in terms of yellow pebble
[tex]G=3R=3(3Y)\\G=9Y[/tex]
Value of
[tex]\Rightarrow \dfrac{G+B}{2R+Y}\\\\\Rightarrow \dfrac{9Y+5Y}{2\times 3Y+Y}\\\\\Rightarrow \dfrac{14Y}{7Y}=2[/tex]
Find the value of x and y
x = 45° , y = 45°
x = 117° , y = 117°
x = 27° , y = 63°
x = 63° , y = 27°
Answers
Step-by-step explanation:
X=63 and Y=27 is the correct answer.
five plus three plus five to the second power times five minus two
question off of moby max
Answers
5 + 3 = 8 + 5^2 = 33 • 5 = 165 - 2 = 163
Final answer: 163
How to find y intercept without a graph HELP
Answers
Answer:
You need to use the graph's equation and find the answer of y when x is 0 as this will give y when it is on the y axis.
To do this, substitute in 0 were x is in the equation and you will find the y intercept
The triangle and the rectangle have the same area
calculate the value of w.
Show your working
Answers
Answer:
2.5 cm
Step-by-step explanation:
6*5=30
30/2=15
That's the area of the triangle
The area of the rectangle must also equal 15
6*w=15
Divide by both sides by 6
This gives you: 2.5
The value of the width of rectangle w for which the triangle and the rectangle have the same area is, 2.5 cm
Used the formula of area of the rectangle and area of the triangle which states that,
Area of rectangle = Length × Width
And, Area of triangle = 1/2 × Base × Height
Given that,
The triangle and the rectangle have the same area.
Here, in a triangle;
Base = 5 cm
Height = 6 cm
So, the Area of the triangle is,
[tex]A = \dfrac{1}{2} \times 5 \times 6[/tex]
[tex]A = 15 \text{ square cm}[/tex]
In a rectangle;
Length = 6 cm
Width = w cm
So, the area of a rectangle,
[tex]A = 6 \times w[/tex] [tex]\text{ square cm}[/tex]
Since the triangle and the rectangle have the same area.
So, equate both the area of the triangle and rectangle,
[tex]6 \times w = 15[/tex]
Divide both sides by 6,
[tex]w = \dfrac{15}{6}[/tex]
[tex]w = 2.5 \text{ cm}[/tex]
So, the value of w is 2.5 cm
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PLEASE HELP 70 POINTS
Answers
Answer:
the pdf is bugged so your going to have to repost
Step-by-step explanation:
Paula is draining her fish tank.
When she starts draining it, the height of the water is 33 cm.
Six minutes later, the height of the water is 15 cm.
Question: If the water continues to drain
at this rate until it is empty, how many
total minutes will it take Paula to drain
her fish tank?
Answers
Answer:
If the water continues to drain at this rate, it would take 11 total minutes for Paula to drain her fish tank.
Step-by-step explanation:
In 6 minutes, she is able to drain 18 cms of her fish tank, so in 1 minute, she would be able to drain 3 cms of her fish tank. 15 divided by 3 is 5, so it would take 5 minutes to drain the rest of her fish tank. But it is asking for the total amount so 5 plus 6 is 11 total minutes.
Jossline rented a bicycle while she was on vacation. She paid a flat rental fee of $55 plus
$8.50 each day. The total cost was $123. Write and equation you can use to find the total
the number of days she rented the bicycle.
Answers
Answer: 123/8.50
Step-by-step explanation:
Find the volume of the composite solid.
Answers
Answer:
2960 ft³
Step-by-step explanation:
Rectangular prism = 12x20x10=2400
Rectangular pyramid = 1/3x12x20x7=560
2400+560=2960
OFFERING DECENT AMOUNT OF POINTS PLEASE HELP
Answers
Answer:
I think its the second and the fourth one
Step-by-step explanation:
Sorry if I am wrong i tried my best
If adult grey whales weigh an average of 50 - 55 tons, about how many pounds does an adult grey whale weigh? (A ton equals 2000 pounds.)
Answers
Answer:
100000
Step-by-step explanation:
First multiplt the given njmber with 2000 and subrat total number givem
Answer: c
Step-by-step explanation:
What is the correct answer???
Answers
We want the following inequality to be true: IMAGE BELOW!
Answers
Answer:
B. X=7
Step-by-step explanation:
Because 9 greater than 7
Simplify: [3(2a)3/2] 2
Answers
Answer:
2=18a
Step-by-step explanation:
I REALLY NEED HELP , “ a company is designing a new cylindrical water bottle. the volume of the bottle will be 207 cm *to the 3rd power* the height of the water bottle is 8.4 cm. what is the radius of the water bottle?”
Answers
Answer:
Radius, r = 2.80 cm
Step-by-step explanation:
Given the following data;
Volume of cylinder = 207 cm³
Height = 8.4 cm
Pie, π = 3.14
To find the radius of the water bottle;
Mathematically, the volume of a cylinder is given by the formula;
V = πr²h
Where;
V is the volume of a cylinder.
r represents the radius of the cylinder.
h represents the height of the cylinder.
Substituting into the formula, we have;
207 = 3.14 * r² * 8.4
207 = 26.376r²
r² = 207/26.376
r² = 7.85
r = √7.85
Radius, r = 2.80 cm
A number cube was rolled as part of an experiment. The results are displayed in the table below. Number 1 2 3 4 5 6 Frequency 4 6 5 7 3 5 What is the best explanation of how to find the experimental probability of rolling a 3? To find the experimental probability of rolling a three, write a ratio of the number of times three occurs to the total number of trials. Simplify if necessary. To find the experimental probability of rolling a three, write a ratio of the total number of trials to the frequency of the number three. Simplify if necessary. To find the experimental probability of rolling a three, write a ratio of the number three to the total number of trials. Simplify if necessary. To find the experimental probability of rolling a three, write a ratio of the total number of trials to the number three. Simplify if necessary.
Answers
Number Frequency Probability
1 4 0.13
2 6 0.20
3 5 0.17
4 7 0.23
5 3 0.10
6 5 0.17
total 30 1.00
To find the experimental probability of rolling a three, write a ratio of the number of times three occurs to the total number of trials. Simplify if necessary.
5/30 = 1/6 or 0.166 or 16.6% or 17%.