What is the length of the unknown leg of
the right triangle rounded to the nearest
tenth of a meter?
11 m
?
42.8 m
Answers
Answer:
The length of the unknown leg is 5.66 yards
Step-by-step explanation:
[tex]Hypotenuse^2=opposite^2-adjacent^2[/tex]
[tex]Hyp^2=opp^2+adj^2[/tex]
[tex]Hyp=\sqrt{42.8}[/tex] [tex]yards[/tex]
[tex]Opp=\sqrt{11}[/tex] [tex]yards[/tex]
[tex]Adj=?[/tex]
[tex]Adj^2=Hyp^2-opp^2[/tex]
[tex]=(\sqrt{42.8} )^2-(\sqrt{11} )^2[/tex]
[tex]=42.8-11[/tex]
[tex]=31.8[/tex] → [tex]32[/tex]
[tex]Adj^2=32[/tex]
[tex]Adj=\sqrt{32}[/tex]
= 5.66 yards
Related Questions
I would like help :)
Answers
Answer:
diameter - B
central angle - E
radius - A
tangent - D
minor arc - F
chord - C
Evaluate: (-2)5
0-10
O 10
O-32
32
Answers
Answer:
By multiplying -2 by 5 you get:
Step-by-step explanation:
- 10
If (8^2)p = 8^4, what is the value of p?
2
3
4
6
Answers
Answer:
Step-by-step explanation:
8²p=8^4
64p=4096
p=64
p could also equal 2
8^2x2=8^4
Answer: P = ^2
Step-by-step explanation:
8^4= 4096
8^2= 64
4096/64=64
(8^2)^2= 8^4
4096 = 4096
I'm good how's life!
A computer generates 50 integers from 1 to 8 at random. The results are recorded in this table.
Outcome 1 2 3 4 5 6 7 8
Number of times outcome occurred
5 8 9 7 4 6 5 6
What is the experimental probability of the computer generating a 2 or a 4?
12%
15%
22%
30%
Answers
The experimental probability of the computer generating a 2 or a 4 is 30% option fourth is correct.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have:
A computer generates 50 integers from 1 to 8 at random.
Total number of outcomes = 5+8+9+7+4+6+5+6 = 50
Computer generating a 2 = 8
Computer generating a 4 = 7
P(computer generating a 2) = 8/50
P(computer generating a 4) = 7/50
P(computer generating a 2 or a 4) = 8/50 + 7/50 = 15/50 or
= 0.3×100
= 30%
Thus, the experimental probability of the computer generating a 2 or a 4 is 30% option fourth is correct.
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2. What is the solution of matrix equation
[2 7
1 4] x=[2 5]
Answers
Answer:
(d) X = [-27, 8]
Step-by-step explanation:
The solution to the matrix equation can be found by left-multiplying both sides of the equation by the inverse of the coefficient matrix.
AX = B . . . . given
X = A⁻¹B
__
[tex]X=\left[\begin{array}{cc}2&7\\1&4\end{array}\right]^{-1}\left[\begin{array}{c}2\\5\end{array}\right] =\left[\begin{array}{cc}4&-7\\-1&2\end{array}\right]\left[\begin{array}{c}2\\5\end{array}\right] \\\\X=\left[\begin{array}{c}-27\\8\end{array}\right][/tex]
_____
Additional comment
A calculator or spreadsheet can help with this. The solution can also be found by row-reducing the augmented matrix.
Look at the following four expressions:
Expression A: (14647 + 2956) ÷ 6
Expression B: 6 x (14647 + 2956)
Expression C: (14647 + 2956) + 6
Expression D: (14647 + 2956) − 6
Which expression has the least value? (1 point)
Group of answer choices
Expression A
Expression B
Expression C
Expression D
Answers
Answer:
Expression D has the least value
How many solutions are there to the equation below?
6x +33 = 6(x+6)
Answers
Answer:
no solution
Step-by-step explanation:
6x + 33 = 6x + 36
33 ≠ 36
Answer:
no solutions
Step-by-step explanation:
6x + 33 = 6(x + 6) ← distribute parenthesis
6x + 33 = 6x + 36 ( subtract 33 from both sides )
6x = 6x + 3 ( subtract 6x from both sides )
0 = 3 ← not possible
This indicates the equation has no solution
]
General rule nth term)
6;11;16; 21; .....
Answers
Answer:
The rule is increase by 5. That means the next term would be 26.
how to find slope within two sets of points
Answers
The slope within two sets of points is calculated using the slope equation [tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
What is slope?The slope of a line or points is the rate of change of the line.
This in other words means that, the vertical change per unit horizontal change
Assume that the points are given as:
(x1, y1) and (x2, y2)
The slope (m) of the points is:
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
Hence, the equation of two sets of points is [tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
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Help please i only have 5 mins left on my test please answer this
P(Head, Diamond AND Head, Heart) = ?
Answers
Using it's concept, it is found that the desired probability is given by:
P(Head, Diamond AND Head, Heart) = 1/64.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, each outcome is equally as likely, having a 1/8 probability, and they are independent.
Then:
P(Head, Diamond AND Head, Heart) = 1/8 x 1/8 = 1/64.
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'the largest prime number that is a factor of 42'
is multiplied by
'the smallest prime number that is a factor of 28'
Answers
Answer:
14.
Step-by-step explanation:
42 = 2 8 3 * 7
Largest prime factor = 7
28 = 2 * 2 * 7
Smallest prime factor = 2
Answer = 2*7 = 14.
What is the median of this data set?
22, 37, 49, 15, 72
А. 39
В. 37
С. 47
D. 49
Answers
P+d= 19 9p+ 5.50d= 150 solve the system of equations , step by step
Answers
Answer:
d=6 & p=13
Step-by-step explanation:
1. P+d=19
×9
2. 9p +5.50d=150
×1
9p+9d=171
-
9p +5.50d=150
3.5d=21
d=6
Substituting d=6 in 1.
P+6=19
P=13
.To help him start a business, Cameron took out a $10,000 loan from a bank. The loan has an annual interest rate of 5%. What expectation should Cameron have?
Answers
Answer:
[tex]A = 10,000(1.05t)[/tex] where t is in years
Step-by-step explanation:
I'm going to assume that the expectation that Cameron has is the amount of money after t years.
We can use the simple interest formula [tex]A = P(1+rt)[/tex] where A is the final amount, P is the principal, r is the rate, and t is time.
We can plug in 10,000 for P and 0.05 for r, giving us
[tex]A = 10,000(1.05t)[/tex]
PLEASE HELP FAST, I'LL MARK YOU AS BRAINLIST
Marcus walks halfway around a square gym with an area of 90,000m². How far did he walk
Answers
Jeremy finished 3/5 of his homework what percent of homework did he finish
Answers
Answer:
60%
Step-by-step explanation:
Percent means per hundred. Change to "per hundred"
3/5 = 6/10 = 60/100
3/5 is 60%
OR
Divide 3/5 means 3÷5...
3÷5 = .6
Change decimal to percent by multiplying by 100.
.6 × 100 = 60
60%
Answer:
60%
Step-by-step explanation:
well if they only finished 3/5 it’s going to be
60/100 = 60%
Find arc QT.
Answers are:
A.71
B.23
C.46
D.142
Answers
Answer:
d)142º
Step-by-step explanation:
[tex]\widehat{AB}=2\times71\º=142\º[/tex]
I need an answer for this:
stirring a hot cup of tea causes a metal spoon to get warm which statement best explains why the spoon gets warm?
Answers
Answer:
here we go
Step-by-step explanation:
Stirring a cup of hot tea causes a metal spoon to get warm. Which statement best explains why the spoon gets warm? Heat energy transfers from the hot tea to the spoon.
Answer:
The molecules at the end of the spoon, in turn, collide with the molecules in the adjacent, cooler part, passing the kinetic energy on. This continues through the spoon until the handle molecules are also heated.Step-by-step explanation:
Stay safe, stay healthy and blessed.Have a good day !Thank youA company that makes boxes finds that 7 out of 25 boxes are damaged. What percent of the boxes are damaged
Answers
Answer:
15%
Step-by-step explanation:
see the picture for explanation
Answer:
28%.
Step-by-step explanation:
That would be 100 * 7/25
= (100/25) * 7
= 4*7
= 28.
A sphere with a 2-inch radius is packed in a cube so that all sided touch. How much empty space is left in the cube?.
Answers
The volume of the empty space is 30.49 cubic inches if the sphere with a 2-inch radius is packed in a cube so that all sided touch.
What is a cube?It is defined as three-dimensional geometry that has six square faces and eight vertices.
We have a sphere with a 2-inch radius is packed in a cube so that all sided touch.
The volume of the sphere = (4πr³)/3 = (4π(2)³)/3 = 33.51 cubic inches
The side length of the cube = 4 inches
Because diameter of the sphere is 4 inches and all sided touch to the cube face.
Volume of the cube = 4³ = 64
The volume of the empty space = 64- 33.51 = 30.49 cubic inches
Thus, the volume of the empty space is 30.49 cubic inches if the sphere with a 2-inch radius is packed in a cube so that all sided touch.
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Complete the table by giving the length and area for each
width. (The width is the side perpendicular to the building.)
width (feet) length (feet)
area (square feet)
10
30
40
W
of the play area
Answers
The values of length are 100, 60, and 40 feet respectively, area of the rectangle 1000 square feet, 1800 square feet, and 1600 square feet respectively.
What is the area of the rectangle?It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
We know the perimeter of the rectangle = 2(w+l)
The sum of w+w+l = 120 (given)
2w + l = 120
From the above equation, we can calculate the l of the rectangle:
We have w = 10 feet
l = 100 feet
Area = 10×100 = 1000 square feet
When w = 30
l = 60 feet
Area = 60×30 = 1800 square feet
When w = 40
l = 40 feet
Area = 40×40 = 1600 square feet
Thus, the values of length are 100, 60, and 40 feet respectively, area of the rectangle 1000 square feet, 1800 square feet, and 1600 square feet respectively.
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Angles 1 and 2 are supplementary
Angle 1 = 30°
Answers
Answer:
Angle 2 = 150°
Step-by-step explanation:
▪︎ Measures of supplementary angles add up to 180°.
Therefore,
Angle 1 + Angle 2 = 180°
Angle 1 = 30°
30° + Angle 2 = 180°
Angle 2 = 180° - 30° = 150°
Find the center and radius of the circle represented by the equation below.
Answers
Centre = (-h,-k)=(3,10)
And radius , r^2 = 121 => r=11
Hope this helps you :)
Have a good day :)
Find the length of the third side. If necessary, round to the nearest tenth.
Answers
It’s a Pythagorean theorem problem, so you add together the squares of each leg to get the square of the hypotenuse. In this case you have to do it backwards by subtracting one leg squared from the hypotenuse squared
How do I find the radius/x of a shaded region with it's area and/or angle measurement?
Answers
Answer:
[tex]x \approx 9.823\ ft[/tex]
Step-by-step explanation:
Remember that the area of a sector is defined as:
[tex]A = \frac{\theta}{360^\circ}\times \pi r^2[/tex]
In this problem, we are given the area [tex]A[/tex], and the angle [tex]\theta[/tex]. We can set up an equation to solve for the radius, which is x:
[tex]A = \frac{\theta}{360^\circ}\times \pi r^2\\128 = \frac{152}{360}\times \pi r^2\\128 \times \frac{360}{152} = \pi r^2\\\frac{5760}{19} = \pi r^2\\r = \sqrt{\frac{5760}{19 \pi}}\\r \approx 9.823[/tex]
Answer:
r ≈ 9.8 feet
Step-by-step explanation:
Formula of A Sector
Area (Sector) = πr² × θ/360°Substitute the given values in the formula to find r.
128 = 3.14 × r² × 152/36040.76 = r² × 19/45r² = 1834.2/19r² = 96.54r ≈ 9.8 feetWrite an expression to represent:
"5 times the sum of 12
and a number"
Answers
5 (12 + x)
Step-by-step explanation:
Answer:
5(12+X)
Step-by-step explanation:
What is the length of BC if AC is x+9. And AB is 2x-8
Answers
Answer:
BC = 17 - x
Step-by-step explanation:
Let AC be the line segment and B be some point on it,
AB + BC = AC
( 2x - 8 ) + BC = x + 9 ...............(1)
BC = x + 9 - ( 2x - 8 )
BC = 17 - x
How far does the unicycle move if the wheel turns once?
Pierre enters a 100m unicycle race. How many times must the wheel rotate completely in order for Pierre to travel 100m?
Answers
The unicycle would move 2.512 meters if the wheel turns once
The wheel needs to rotate completely 40 times in order for Pierre to travel 100m
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
a) The circumference of the wheel = π * diameter = 3.14 * 80 cm = 251.2 cm = 2.512 m
The unicycle would move 2.512 meters if the wheel turns once
b) For a 100m race:
Number of wheel rotation = 100 m / 2.512 m = 39.8
The wheel needs to rotate completely 40 times in order for Pierre to travel 100m
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What is the circumference of this circle, in millimeters? use startfraction 22 over 7 endfraction for pi. a circle with radius 49 millimeters. 154 308 484 968
Answers
The circumference of the circle with a radius of 49mm is 308mm
How to find the circumference of a circle?The circumference of the circle is also known as its perimeter. The formula is expressed as:
C = 2pi r
r is the radius = 49mm
pi = 22/7
Substitute
C = 2 * 22/7 * 49
C = 2 * 22 * 7
C = 308mm
Hence the circumference of the circle with a radius of 49mm is 308mm
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Answer:
B
Step-by-step explanation:
what is the absolute value of 62
Answers
Answer:
62, since positive doesn't change to negative.