Answers
[tex]\boxed{x=3\sqrt{3}}[/tex]
Step-by-step explanation:A right triangle is the one that has a 90° degree side. The hypotenuse is the largest side while the legs are the other two sides. The sketch for this problem is shown in the Figure below. To compute the other side, that is x, we must use the Pythagorean Theorem as follows:
[tex]H=\sqrt{Leg_{1}^2+Leg_{2}^2} \\ \\ \therefore H^2=Leg_{1}^2+Leg_{2}^2 \\ \\ Leg_{2}=\sqrt{H^2-Leg_{1}^2} \\ \\ x=\sqrt{14^2-13^2} \\ \\ \therefore \boxed{x=3\sqrt{3}}[/tex]
Related Questions
Pythagorean Theorem in Cones. Please help
Answers
9 + height^2 = 81
height ^2 = 72
height = sqrt(72)
justin can type w words per minute. melvin can type 4 times as many words as justin. write an expression that represents the rate at which Melvin can type
Answers
w = Words per min that Melvin can type
w = m*4
Melvin's typing rate can be expressed as 4w words per minute by multiplying Justin's rate by 4.
To determine how many words Melvin can type per minute, we need to use Justin's typing rate as a reference.
Since Justin can type w words per minute, and Melvin can type 4 times as many words as Justin, we multiply Justin's rate by 4.The expression for Melvin's typing rate is 4w words per minute.For example, if Justin types 50 words per minute (w = 50), then Melvin would type 200 words per minute (4 * 50 = 200).
The surface area of the triangular prism is?
A. 540 Square Meters
B. 552 Square Meters
C. 576 Square Meters
D. 624 Square Meters
Answers
Final answer:
The area of a triangle with a base of 166 mm and height of 930.0 mm is found by converting the measurements to meters and using the formula A = 1/2 × base × height. It calculates out to be 0.07719 m² and should be reported as 0.0772 m² to match the least number of significant figures provided in the measurements.
Explanation:
To calculate the area of a triangle, you use the formula A = 1/2 × base × height. Given the base is 166 mm and the height is 930.0 mm, first, you need to convert the measurements to meters by dividing them by 1000 (since there are 1000 millimeters in a meter), which gives us 0.166 m for the base and 0.930 m for the height. Then you plug these values into the formula:
A = 1/2 × (0.166 m) × (0.930 m)
So the area of the triangle is:
A = 1/2 × 0.15438 m²
A = 0.07719 m²
This result should be reported with the proper number of significant figures. Given that the base was provided to three significant figures and the height to four, the area should also be reported to three significant figures since the number of significant figures in the answer is determined by the measurement with the fewest significant figures. Therefore:
Area = 0.0772 m²
8. Which box-and-whisker plot shows the high temperatures in Philadelphia, Pennsylvania, during the first two weeks of March: 42, 51, 54, 46, 49, 53, 52, 37, 33, 36, 50, 41, 50, 38
Answers
Step 1: Arrange the data given in ascending order, that is from least to greatest.
Given data:
[tex] 42, \; 51, \; 54, \; 46,\; 49, \; 53,\; 52, \; 37, \; 33, \; 36, \; 50, \; 41,\; 50,\; 38\\ \\ [/tex]
Data in ascending order:
[tex] 33, \; 36, \; 37, \; 38, \; 41, \; 42,\; 46, \; 49,\; 50, \; 50,\; 51,\; 52,\; 53, \; 54 [/tex]
Step 2: Find the median (Q2). The median is the value exactly in the middle of an ordered set of numbers .If there is an even number of items in the data set, then the median is found by taking the mean (average) of the two middlemost numbers.
Since in our problem we have 14 datas, we need to pick the middle most numbers and find the average of the same.
[tex] Median =\frac{46+49}{2} =\frac{95}{2} =47.5 [/tex]
The median is called Q2 and equal to 47.5
Step 3: Find the lower quartile (Q1). Considering the values to the left of the median(Q2), the median to those values is the Q1 and called as Lower quartile.
[tex] Q1=38 [/tex]
Step 4: Find the upper quartile (Q3). Considering the values to the right of the median(Q2), the median to those values is the Q3 and called as Upper quartile.
[tex] Q3=51 [/tex]
Conclusion:
Using the above details we need to plot the box and whisker plot attached with this problem.
how do you do the formula a2+b2=c2
Answers
So, to find x in this triangle:
x^2 + 8^2 = 12^2
x^2 + 64 = 144
x^2 = 80
x = 8.94
Hope this helps!
write the equation in slope intercept form 2x-3y=6
Answers
Y Intercept is -2
hope this helps
-3y = -2x + 6
-y = -2/3x + 2
y = 2/3x -2
Hope this helps!
2 common factors of 36 and 48
Answers
2 is also a common factor of 36 and 48 for the same reasons.
Hope this helps!
HELP ASAP WILL GIVE BRAINLIEST IF RIGHT
The dot plot shows the height, in feet, of a group of trees being studied.
How many trees are being studied?
Enter the answer in the box.
[______]
Answers
This is assuming that one dot = one tree.
Jordan and Roman travel the same route to work. Jordan leaves work one morning and drives at a rate,r, of 56 mph. Roman leaves the house soon after, when Jordan has already traveled 2 mo. Roman drives at a rate of 60 mph. How long after Jordan leaves home well Roman catch up to her? How many miles into the commute Will this occur
Answers
Explanation:
1) Data:
Jordan's speed: r1 = 56 mi / h
Roman's speed: r2 = 60 mi / h
Jordan's initial position: 2 miles
Roman's initial position: 0 miles
2) Formula:
Both motions are at constant speed, so rate = distance / time
Position = Initial position + distance run = initial position + rate * time
3) Solution:
Jordan's position, x1 = 2 mi + 56 mi / h * t
Roman's position, x2 = 0 mi + 60 mi/h * t = 60 mi / h
They start driving at the same time, so their times are equal.
When Roman catch up Jordan their position are equal => x1 = x2
=> 2 + 56t = 60 t
=> 60t - 56t = 2
=> 4t = 2
=> t = 2/4 = 0.5 hours
Now you can calculate the position of both in the commute:
From Jordan's rate: x1 = 2 mi + 56 mi /h * 0.5 h = 2mi + 28mi = 30 mi
From Roman's rate: x2 = 60 mi/h * 0.5 h = 30 mi
Answer: Roman will catch up Jordan after 0.5 h, and they will be 30 miles into the conmute.
Can someone plz help me with this question
Answers
A = (2r+3)*(r -4)
Use the distributive property, three times in total.
.. = 2r(r -4) +3(r -4)
.. = 2r^2 -8r +3r -12
Collect terms.
A = 2r^2 -5r -12
Rounding 9 1\3 to the nearest whole number
Answers
Have an nice day
Need help with 3 and 4.
Answers
Answer: third option 11.5
Explanation:
1) Since this is a right triangle you can use the trigonometric ratios.
2) sin (α) = opposite-leg / hypotenuse
3) α = 35°; opposite-lge = x; hypotenuse = 20.
4) substitute values
sin(35°) = x / 20
5) Solve for x
x = 20 * sin (35°) = 11.47
6) Round to the nearest tenth: 11.5
Answer: third option 11.5
B) Problem 4
Answer: first option 8.3
Explanation:
1) Since it is a right triangle you can use trigonometric ratios
2) cos (α) = adjacent - leg / hypotenuse
3) α = 41°; adjacent - leg = x; hypotenuse = 11
4) Substitute values
cos (41°) = x / 11
5) Solve for x: x = 11 * cos (41°) = 8.30
6) Round to the nearest tenth: x = 8.3
Answer: 8.3
Which equation can solve for x
Answers
And if you finished solving the x value is 2
Hope this helped you :)
Is the figure on the right congruent to the sample figure? EXPLAIN.
Answers
The corresponding sides on both rectangles have the same length.
What are the area and perimeter of a rectangle?We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.
We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both
The given rectangles are congruent to each other as the corresponding sides to the rectangle on the left have the same length as the corresponding sides of the rectangle to the right.
learn more about congruency here :
https://brainly.com/question/7888063
#SPJ3
The people who "consume" or use the travel product are called _____.
A---suppliers
B---consumers
C---intermediaries
D---distributors
IM TERRIBLE AT MATH
HELP PLEASE
Answers
Hope this helps!
Answer:
B. Consumers literally read the question?
Step-by-step explanation:
81 times a number minus 77 is equal to -77 less than the number
Answers
(3w-5)(1+w)=0
I need help pls!!
Answers
1 + w = 0 so then you subtract one to get to the other side so w = -1
the final solution is {5/3, -1}
(-5 + 3w)(1 + -1w) = 0
Multiply (-5 + 3w) * (1 + -1w)
(-5(1 + -1w) + 3w * (1 + -1w)) = 0
((1 * -5 + -1w * -5) + 3w * (1 + -1w)) = 0
((-5 + 5w) + 3w * (1 + -1w)) = 0
(-5 + 5w + (1 * 3w + -1w * 3w)) = 0
(-5 + 5w + (3w + -3w2)) = 0
Combine like terms: 5w + 3w = 8w
(-5 + 8w + -3w2) = 0
Solving
-5 + 8w + -3w2 = 0
Solving for variable 'w'.
Factor a trinomial.
(-5 + 3w)(1 + -1w) = 0
Rewrite each expression using each base only once.
(-6)^12 * (-6)^3 * (-6)^2
2^2 * 2^7 * 2^0
Simplify each expresion.
5c^4 * c^6
(-2.4n^4)(2n^-1)
(4c^4)(ac^3)(-3a^5c)
a^6b^3 * a^2b^-2
Answers
(-6)^12 * (-6)^3 * (-6)^2
(-6)^(12+3+2)
(-6)^(17)
Answer:
(-6)^(17)
2^2 * 2^7 * 2^0
(2)^(2+7+0)
(2)^(9)
Answer:
(2)^(9)
Simplify each expresion.
5c^4 * c^6
5*c^(4+6)
5*c^(10)
Answer:
5*c^10
(-2.4n^4)(2n^-1)
(-2.4*2)(n^4)(n^-1)
(-2.4*2)(n^(4+(-1))
(-4.8)(n^(4-1))
(-4.8)(n^(3))
Answer:
(-4.8)(n^(3))
(4c^4)(ac^3)(-3a^5c)
((4)*(-3))*(c^(4+3+1))*(a^(1+5))
(-12)*(c^(8))*(a^(6))
Answer:
(-12)*(c^8)*(a^6)
a^6b^3 * a^2b^-2
(a^(6+2))*(b^(3+(-2)))
(a^(8))*(b^(3-2))
(a^(8))*(b^(1))
(a^8)*(b)
Answer:
(a^8)*(b)
I neeeeed help please
Answers
.. P = 2w +2l
You are given values for P and l. Put them in the formula.
.. 6 = 2w +2*1
Solve in the usual way. First, subtract 2.
.. 4 = 2w
Then, divide by 2
.. 2 = w
You have found w, and it is 2.
_____
Personally, I like to write the perimeter formula for a rectangle as
.. P = 2(w +l)
Usng this version, we can fill in values and get
.. 6 = 2(w +1)
Dividing by 2 gives
.. 3 = w +1
Subtracting 1, we get
.. 2 = w
Data Set 1 has a mean of 54 and a MAD of 4. Data Set 2 has a mean of 60 and a MAD of 2.
What can be concluded about the two distributions?
Select each correct answer.
The distributions are somewhat similar.
The means-to-MAD ratio is 1.5.
The distributions are similar.
The means-to-MAD ratio is 3.
Answers
B.
The means-to-MAD ratio is 1.5.D.
The distributions are somewhat similar.
mark brainiest mate!
Find the volume of the bag and candle.Round to the nearest tenth
Answers
Zane weighs 50 kilograms. What is his weight in pounds? (The proportional relationship between kilograms and pounds is .)
100 pounds
22.72 pounds
110 pounds
1100 pounds
Answers
Need some help. Find the distance of the line PQ.
I tried multiplying the radius by 2 but that’s not the answer :/ simple equation but I’m blanking
Answers
distance = 5
The area of a square is 144 in². What is the length of the square in feet?
Answers
The function f(x)=square root -x is shown on the graph. Which statement is correct?
Answers
Domain:
{x ∈ R: x≤0}
This means that the domain is all non-positive real numbers.
The answer is:
d] The domain of the function is all real numbers less than or equal to 0.
Answer:
D
Step-by-step explanation:
i just did the test and got it right.
how many 1/2 cups servings of cereal are in 2 cups of cereal ?
Answers
Algebra 1
The sum of two numbers is 186. The difference between the same numbers is 32. what are the two numbers?
Answers
[tex]x + y = 186 \\ y - x = 32 \\ 2x = 186 - 32 \\ 2x = 154 \\ x = 77 \\ y = 77 + 32 = 109[/tex]
X is 77
Y is 109
Sheila works for a fishing company. She is paid $20 per day and an additional $2 for each lobster she catches. She wants to know how many lobsters she must catch in order to earn a total of at least $130 after five days of working.
Create an inequality on the number line with the tools provided which represents the number of lobsters that Sheila could catch to earn at least $130.
Answers
I NEED SOMEONE TO ANSWER A SCALE FACTOR PROBLEM AND WILL AWARD BRAINLIEST
Answers
24/10
Simplified, this is 12/5, also 240%.
Hope this helps!
Angle JKL and MKQ are complementary angles.
The measure if angle JKL is twice the measure of angke MKQ.
Write one equation to find x, the measure if angle MKQ, and then solve for x
Enter your equation and your solution in the space provided
Answers
The equation of the complementary angles can be represented as 2x + x = 90° and the measure of ∠MKQ is 30 degrees.
What are complementary angles?
Complementary angles are angles that sum up to 90 degrees. The angles complement each other.
Therefore,
∠JKL + ∠MKQ = 90°
let
∠MKQ = x
Hence,
∠JKL = 2x
Therefore,
2x + x = 90°
3x = 90
divide both sides by 3
3x / 3 = 90 / 3
x = 30
learn more on complementary angles here:https://brainly.com/question/5366669
#SPJ2