What is the value of x. Enter your answer in the box.
A triangle with 3 sides that's a right triangle the longest one is 24 then 7 then x. What is x
X=___
Answers
[tex]a^{2} + b^{2} = c^{2}[/tex]
We already know two sides, so plug those into the equation. The longest side will be c:
[tex]a = 7, c = 24[/tex]
[tex]7^{2} + b^{2} = 24^{2}[/tex]
[tex]49 + b^{2} = 576[/tex]
Subtract 49 from both sides.
[tex]b^{2} = 527[/tex]
Square root both sides to get b by itself:
[tex] \sqrt{527} = 22.9564[/tex]
[tex]b = 22.9564[/tex]
The value of x is 22.9564.
a and b are the legs, c is the hypotenuse.
Refer to the picture :) I just drew a standard right triangle, *not to scale*.
The hypotenuse is always the longest side of a right triangle, so I plugged in 24 for c. I plugged in x and 7 for a and b.
x² + 7² = 24²
Square 7 and 24.
x² + 49 = 576
Subtract 49 from both sides.
x² = 527
Square root both sides to isolate and find x.
x = 23
Related Questions
A simulated game of chess is programmed between two computers. The game is supposed to be biased in favor of player B winning 4 out of 5 times. Which is the most suspicious set of outcomes of 30 games played between the two computers?
AABABBBABBBBBBBBABBBABBBBBBBBA
ABBABBAABBBBBABBBBBBBBBBBBBABB
ABBABABABABBABABABABABABABABAA
ABBABBBABBBBBBBBABBBABBBBBBBBB
Answers
Answer:
ABBABABABABBABABABABABABABABAA
Step-by-step explanation:
Player B is supposed to be winning 4 out of 5 times. This means that Player A is supposed to win 1 out of 5 times.
This means out of 30 games, player A should win roughly 1/5(30) = 6 times.
In the first list, player A wins 7.
In the second list, player A wins 6.
In the third list, player A wins 15. This is much different.
In the fourth list, player A wins 5.
Over the period of one month 159 dogs visited the dog park. Suppose the same number of dogs visited each month for 1 year. How is this total different from the year before 95 dogs visited the dog park every 3 months for the year? Show your work and explain how you got your answer. WILL MARK BRAINLEST!!!!!!
Answers
Final answer:
The total number of dogs visiting the park in the current year, assuming 159 dogs visit each month, is 1,908 dogs/year. The previous year, with 95 dogs visiting every 3 months, saw 380 dogs/year. Hence, there are 1,528 more dogs visiting the park in the current year.
Explanation:
Calculating the Total Annual Number of Dogs Visiting the Dog Park
To calculate the total number of dogs visiting the dog park over the course of a year for the current period, we simply multiply the number of dogs that visit each month by the total number of months in a year. For the previous year, we will add up the number of dogs visiting every three months and then determine the difference between the two annual totals.
Current Period Calculation:
Number of dogs visiting each month: 159 dogsNumber of months in a year: 12 monthsTotal dogs visiting in the current year = 159 dogs/month * 12 months/year = 1,908 dogs/yearPrevious Year Calculation:
Number of dogs visiting every 3 months: 95 dogsNumber of 3-month periods in a year: 4Total dogs visiting in the previous year = 95 dogs/3 months * 4 (3-month periods) = 380 dogs/yearNow, we find the difference between the two annual totals:
Difference = Current year total - Previous year totalDifference = 1,908 dogs/year - 380 dogs/yearDifference = 1,528 dogs/yearThe total number of dogs visiting the park in the current year is 1,528 dogs more than the previous year.
A simple random sample of 90 is drawn from a normally distributed population, and the mean is found to be 138, with a standard deviation of 34. What is the 90% confidence interval for the population mean? Use the table below to help you answer the question.
Confidence Level
90%
95%
99%
z*-score
1.645
1.96
2.58
Remember, the margin of error, ME, can be determined using the formula mc021-1.jpg.
128.75 to 147.25
130.98 to 145.02
132.10 to 143.90
137.38 to 138.62
Answers
Using the z-distribution, it is found that the 90% confidence interval for the population mean is: 132.10 to 143.90.
What is a z-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.In this problem, we have a 90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.
The other parameters are given as follows:
[tex]\mu = 138, \sigma = 34, n = 90[/tex]
Hence, the bounds of the interval are given by:
[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 138 - 1.645\frac{34}{\sqrt{90}} = 132.1[/tex]
[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 138 + 1.645\frac{34}{\sqrt{90}} = 143.9[/tex]
The 90% confidence interval for the population mean is: 132.10 to 143.90.
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Find two square roots of 36.
Answers
The vanishing point of the picture is represented by point B.
A) The measure of angle ABD is is 6.2 times greater than the measure of angle CBD. Find the measure of angle CBD.
B) Angle FBE and angle EBD are congruent. Find the measure of angle FBE.
Answers
∠ABD + ∠CBD = 180°
6.2(∠CBD) + ∠CBD = 180°
7.2(∠CBD) = 180°
∠CBD = 180°/7.2
∠CBD = 25°
B) Angles EBD and CBD are complementary, so you have ...
∠FBE = ∠EBD = 90° - ∠CBD
∠FBE = 90° - 25°
∠FBE = 65°
To solve this, we use the fact that angles around a point add up to 360 degrees and angles on a straight line add up to 180 degrees. This allows us to find angle CBD to be 50 degrees and angle FBE to be 130 degrees.
Explanation:The subject of this question is geometry, specifically it deals with the properties of angles around a point. In the first part of the question, we are told that angle ABD is 6.2 times greater than angle CBD and we are asked to find the measure of angle CBD. As the total angle around a point is 360 degrees, we can set up the equation ABD + CBD = 360. Given that ABD = 6.2 * CBD, we can replace ABD in our equation, resulting in 6.2* CBD + CBD = 360, solving this gives us CBD = 360/7.2 = 50 degrees.
In the second part of the question, we're told that angle FBE and angle EBD are congruent. This means they have the same measure. Since angle EBD is adjacent to angle CBD and they form a straight line together, their measures add to 180 degrees. Since we already found angle CBD to be 50 degrees, thus angle EBD (or FBE) is 180 - 50 = 130 degrees.
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how to graph (-3,4) ;m=6
Answers
We have the point (-3; -4) in the coordinate system.
From this point we go 1 unit to the right and 6 units to the up.
We get the second point.
Draw a straight line.
Look at the picture.
Solve 120000/1+48e^0.015t=24e^0.055t
Answers
Help I don’t know the answer to this question
Answers
y intercept, same thing, where x is equal to 0 and it's on the y axis
like the x-intercept would be: (-7,0)
y-intercept: (0,2)
susan surveys 20 people in her math class to find out the most popular movie. 5 students say star wars if the are 200 students in the total 7th grade using a proportion find out how many students susan would expect to like Star Wars
Answers
x= # of people in 7th gr who like Star Wars
5 out of 20= x out of 200
5/20= x/200
cross multiply
(5*200)= (20*x)
1000= 20x
divide both sides by 20
50= x
ANSWER: 50 people in the 7th grade should like Star Wars.
Hope this helps! :)
Answer:
50 people
Step-by-step explanation:
please rate and thank
Nora created a flag that was shaped by the triangle below.
'\
' \
5in. ' \
' \
'-----------
12in
What is the measure of the third side of the triangle?
A.13in
B.14in
C.17in
D.16in
Answers
A small refrigerator is a cube with a side length of 14 inches. Use the formula S = 6s2 to find the surface area of the cube.
Answers
Surface area = 6 (14)² = 1176 in²
Answer: 1176 in²
Eric goes for a walk every night after work. A map of the route has a scale of 1:20,000, in cm.
If Eric walked 1.2 kilometers on Monday night, how many cm is the route on the map?
Answers
1.2 km = 120 000 cm.
If the map is made on a scale of 1: 20,000, in cm
So we have to divide 120,000 / 20,000 to know how many centimeters that distance on the map is represented.
Finally the answer is 6 centimeters. That is, 1.2 km equals 6 centimeters on the map
I need help trying to find the vertex y=2x^2 + 12x +26
Answers
So you would multiply 12 by -1 and get -12, then multiply 2 by 2 (a) and you should get 4.
In order to get the A.O.S, divide -12 by 4 = -3
Finally, plug in x (or the A.O.S)
Your equations should now look like this;
y = 2 (-3) ^2 + 12 (-3) +26
Solve each part separately and then add it up:
-3^2 = 9 * 2 = 18
12 * -3 = -36
and just 26
18 - 36 + 36
Vertex (or y) = 18
(-3,8)
Write an inequality involving the variable x that describes the set of numbers graphed.
Answers
From 9:00 AM to 12:00 PM, Linda's stock portfolio increased in value from $2,500 to $6,400. If Linda's portfolio continues to grow at this rate, how much will it be worth at 2:30 PM?
Answers
$6,400-$2,500=$3,900
$3,900/3= $1,300 per hour
12:00pm - 2:30pm = 2.5 hours
$1,300 x 2.5= $3,250
$6,400 + $3250 = $9,650
How to solve these kind of questions.
Answers
hope this helped
how many 1 cup servings can be poured from 1 gallon of milk?
Answers
A ladder is leaning against a building and makes 42° angle with the ground. The top of the ladder reaches 30 feet up on the building. What is the length of the ladder?
Answers
sin 42 deg = opp / hyp, or hyp*sin 42 deg = 30 ft. Then hyp = (30 ft)(sin 42), which in turn equals hyp = (30 ft) / (0.669) = 44.8 feet (answer)
The length of the ladder will be 44.8 feet.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
A ladder is leaning against a building and makes a 42° angle with the ground.
The top of the ladder reaches 30 feet up on the building.
Let the length of the ladder be L.
Then the length of the ladder is given by the sine of angle 42°.
sin 42° = 30 / L
L = 30 / sin 42°
L = 30 / 0.699
L = 44.8 feet
The length of the ladder will be 44.8 feet.
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On a map with a scale of 2 cm = 1km, the distance from Beau's house to the beach is 4.6 centimeters. What is the actual distance?
Answers
GIVEN: 2 cm = 1 km
4.6/2 = 2.3 km
2.3
since 2 cm=1k you divide by 2
Can you find the measure of angle PVQ for 30 points?
Answers
12x + 3x = 90
15x = 90
x = 6
Plug in x into ∠PVQ, which is 12x.
12(6) = 72
m∠PVQ = 72°
⇒ 12x + 3x = 90
12x + 3x = 90
Combine like terms:
15x = 90
Divide both sides by 15:
x = 6
Find ∠PVQ :
∠PVQ = 12x = 12 x 6 = 72°
Answer: ∠PVQ = 72°
What is the true solution on 2 in e ^in 5x=2 in 15
Answers
In(e^x)=x
2(ln5x)=2ln15
In 5x=In 15
5x= 15
x= 3
genius
Cereal companies often advertise with statements like "collect all 8 dinosaurs" or "one in each specially marked box." Assume that the company sells an equal number of boxes with each type of dinosaur. If you wanted to collect all eight dinosaurs, does this mean that you will only have to purchase eight boxes of cereal? This investigation will help you better understand how theoretical probability compares to experimental probability.
Here are your goals: Use a simulation to determine the experimental probability of a problem. Compare and contrast the theoretical probability with the experimental probability.
Answers
You have a 1/8 chance of getting the dinosaur you want from a box. That means obviously you are significantly more likely to get another less dinosaur. Which it likely won't have lasers and stuff. Which is always sad.
The theoretical probability is far less likely to actually happen than the experimental probability.
Find the greatest common factor of 8a 3 b 2 and 12ab 4.
Answers
If it is like this..
The GCF is 4ab²
Answer:
4ab²
Step-by-step explanation:
The two expressions are given as 8a³b² and 12ab⁴
Now factors of 8a³b² = 2 × 2 × 2 × a × a × a × b × b
and factors of 12ab⁴ = 2 × 2 × 3 × a × b × b × b × b
Now greatest common factor will be 2 × 2 × a × b × b
= 4ab²
What fraction is equivalent to the repeating decimal 0.18
Answers
Therefore the answer is 2/11!!
Hope this helps!!! :)
P.S. You can check it if you wish by dividing 2 by 11!
x=0.18181818...
The next step is a bit of a trick where we multiply by a power of 10 such that what remains to the right of the decimal is the repeating fraction itself, i.e.
100x=18.1818181818...=18+0.18181818...
which can be re-written
100x=18+x
taking x to the left-hand side we get
99x=18
and finally
x=18/99=2/11
Hope this helps!
What is the volume of a cube with an edge length of 3.2 meters?
Enter your answer as a decimal
___ cm^3
Answers
S = 3.2 meters
Volume = 3.2^3
Volume = 32.768 cubic meters (cm^3)
You may need to round the answer.. The problem doesn't say how many decimal places are needed.
To find the volume of a cube you use the equation
[tex]V = a^{3} [/tex]
a is side length
Put in the values you know
[tex]V = 3.2^{3} [/tex]
Cube the number
V = 32.768
The answer is 32.768 cubic centimeters
Hope this helps!
The equation above can be used to calculate the volume V, of a pyramid with a height h and base with length l and width w. If the volume of a pyramid is 81inches^3, and l=w=3h, what is the length of the base of the pyramid in inches?
Answers
You know
V=81
l=3h
w=3h
h=3
l=9
w=9
So length is 9 inches
The formula for a pyramid = (1/3) L * W * h The base in this case is square.
Givens
L = W
W =W
L = 3H
H = L/3 = (1/3L)
V = 81 in^3
Solve
V = 1/3 L * W * H
V = 1/3 L * L * 1/3 L
81 = 1/9 L^3 Multiply through by 9
81 * 9 = L^3
729 = L^3 Take the cube root of both sides.
cube root (L^3) = cube root (729)
L = 9 in
NEED HELP!!!
Jamie was surveying students about their use of the new computer lab in a school. Which question in the survey is a STATISTICAL QUESTION?
A.) How qualified is the trainer at the computer lab?
B.) Where is the computer lab located in the school?
C.) What is the number of learning stations at the computer lab?
D.) How many class projects did you complete using the computer lab?
Answers
Answer with explanation:
To know the use of Computer Lab in the School
A Survey has been done.Out of the four Question asked,
The education of the trainer in the computer Lab does not come into consideration,to know the use of computer lab in the school, the use of computer lab can be known only by whether students are getting well versed with Computer and it's applications or not.
Number of Learning Stations in the computer lab, also can't tell the use of computer Lab in the school, because we have to check knowledge of the students about computers to know the better use of the Lab.
So, number of Class projects, or in my own words A test on computer awareness and It's software tools will be a better survey Question.
Option D is the question in the survey is a STATISTICAL QUESTION.
(D) How many class projects did you complete using the computer lab?
if d=2, what is the value of 8/(4-d)
Answers
The value of the expression 8/(4-d) when d = 2 is 4.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
We have the expression,
8/(4-d)
And here, d = 2.
Substituting the value of d to the expression,
8/(4-d),
= 8/(4-2)
= 8/(2) {using simple division}
= 4
Therefore, 4 is the value of the expression.
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Name the algebraic property that is being shown in the example: 4(x+3) = 4x + 12
Answers
A company's profit is described by the equation P(x)=-5x^2+300x+15,000
Where x is the price in dollars that the company charges for its product. What should the company charge for the product to generate the maximum profit?
A)$20
B)$30
C$50
D$60
Answers
The formula x = -b / (2a) will produce that x-coordinate:
-(300)
x = ------------ = 30
2(-5)
When x=30 units, y = profit = -5(30)^2 + 300(30) + 15000 = $19500 (answer)
The company charge for the product to generate a maximum profit is $30. Then the correct option is B.
What is differentiation?The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.
A company's profit is described by the equation
[tex]\rm P(x)=-5x^2+300x+15000[/tex]
Where x is the price in dollars that the company charges for its product.
Differentiate the equation with respect to x.
[tex]\rm \dfrac{dP(x)}{dx}=-10x+300[/tex]
For the maximum price
[tex]\rm \dfrac{dP(x)}{dx} = 0\\[/tex]
Then we have
[tex]\begin{aligned} \rm -10x+300 &= 0\\\\\rm 10x &= 300\\\\\rm x &= 30 \end{aligned}[/tex]
Then the company charge for the product to generate the maximum profit is 30 dollars for each.
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