Answers
Answer:
D. 24
Step-by-step explanation:
The area of a triangle is [tex]\frac{1}{2} (bh)[/tex].
The height is already given: 8
But we need to find the base and since the hypotenuse is given and it's a right triangle, we can use the pythagorean theorem. (Hypotenuse is longest, slanted side of a right triangle)
The pythagoren theorem is [tex]a^2+b^2=c^2[/tex] where a and b are the sides, and c is the hypotenuse.
Plugging in the given values => [tex]8^2+b^2=10^2[/tex]
We have to solve for b. So, squaring 8 and 10 we get [tex]64+b^2=100[/tex].
Next, subtract 64 from both sides to get b by itself: [tex]b^2=36[/tex]
Square root both sides to get [tex]b=6[/tex].
Now that we have our base we can plug it in to the area of triangle formula: [tex]1/2(6*8)[/tex].
Multiply inside the parenthesis: 1/2(48) => 24
Related Questions
Which perfect squares are nearest the square root of 11?
Answers
The perfect squares which are nearest to the square root of 11 as in the task content are; 1 and 4.
Which perfect squares are nearest the square root of 11?It follows from the task content that the perfect squares which are nearest to the square root of 11 are to be determined.
Hence, one must first determine what the square root of 11 is as follows.
The square root of 11 as given in the task content is; √11 = 3.32.
Hence, the numbers which are perfect squares and closest to the number 3.32 are; 1 and 4.
Consequently, it follows that the perfect squares as required are; 1 and 4.
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f(x) = 3x + 5
g(x) = 4x² - 2
h(x) = x²-3x+1
Find f(x) + g(x) - h(x).
O 3x² + 6x + 2
-O 3x²+2
O 6x2² +6x-1
O 5x² +4
Answers
After solving the expression we get 3x² ₊ 6x ₊ 2 .
Given f(x) = 3x₊5
g(x) = 4x² ₋ 2
h(x) = x² ₋ 3x ₊ 1
f(x) ₊ g(x) ₋ h(x)
substitute the values.
3x ₊ 5 ₊ 4x² ₋ 2 ₋ (x² ₋ 3x ₊ 1)
4x² ₊ 3x ₊ 3 ₋ x² ₊ 3x ₋ 1
3x² ₊ 6x ₊ 2
hence we get 3x² ₊ 6x ₊ 2 .
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Which is an equivalent expression for 4 times d raised to the negative fifth power all over quantity 18 times d raised to the ninth power end quantity?
0.2d14
negative 2 over quantity 9 times d raised to the fourth power end quantity
72 over d raised to the fourteenth power
2 over quantity 9 times d raised to the fourteenth power end quantity
Answers
The equivalent expression using laws of exponents gives us; 2 over quantity 9 times d raised to the negative fourteenth power end quantity
How to use laws of exponents?
We want to write an equivalent expression for 4 times d raised to the negative fifth power all over quantity 18 times d raised to the ninth power end quantity. This can be expressed as;
4d⁻⁵/18d⁹
Now, according to laws of exponents, we know that;
x²/x³ = x²⁻³ = x⁻¹
Applying that law to our question gives us;
4d⁻⁵/18d⁹ = (4/18)(d⁻⁵⁻⁹)
= (4/18)(d⁻¹⁴)
Now, the expression 4/18 can be broken down to 2/9. Thus, our final expression is; ²/₉d⁻¹⁴
Writing that in words gives;
2 over quantity 9 times d raised to the negative fourteenth power end quantity
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Answer: 2/9d^14 or 2 over 9 times d to the 14th power
Step-by-step explanation: AFOKE88 gave the same answer. this answer is correct you just have to understand how to write this equation in word form to understand them. they also gave a great explanation for those who need it.
A square pyramid has a volume of 4320 cubic inches. What is the volume of this pyramid in cubic feet?
Answers
The volume of the given square pyramid in cubic feet is 2.5 cubic feet.
Given that, a square pyramid has a volume of 4320 cubic inches.
We need to find the volume of this pyramid in cubic feet.
What is the volume of a square pyramid?The volume of a square pyramid is one-third of the product of the area of the base and the height of the pyramid. Thus, volume = (1/3) × (Base Area) × (Height).
To convert from cubic inches to cubic feet, divide your cubic inches figure by 1728.
Now, 4320/1728 = 2.5 cubic feet
Therefore, the volume of the given square pyramid in cubic feet is 2.5 cubic feet.
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Plsssss helppp 20 points HELPP
Answers
Previous 40 Question 1 Find and interpret the mean absolute deviation of the data. 24, 26, 28, 28, 30, 30, 32, 32, 34,36
Answers
The mean absolute deviation of the data is 0
The mean absolute deviation of given data is 0.Given that
The data from question:24, 26, 28, 28, 30, 30, 32, 32, 34,36
To find
the mean absolute deviation of the data.So, according to the question
We have,
The data from question:24, 26, 28, 28, 30, 30, 32, 32, 34,36
The mean of that data[tex]mean = \frac{sum\;of\;data}{number\;of\;data}[/tex]
= [tex]\frac{24+26+ 28+ 28+ 30+30+ 32+ 32+ 34+36}{10}[/tex]
= [tex]\frac{300}{10}[/tex]
mean of data = 30
For mean absolute deviation of the data, first we have to find the difference of each data value from mean of data.
So,
24 - 30 = -6
26 - 30 = -4
28 - 30 = -2
28 - 30 = -2
30 - 30 = 0
30 - 30 = 0
32 - 30 = 2
32 - 30 = 2
34 - 30 = 4
36 - 30 = 6
The sum of data after subtracting it's mean∑D = | (-6-4-2-2+0+0+2+2+4+6) |
∑D = 0
The mean absolute deviation of the data,MAD = [tex]\frac{The \;sum \; of \; data \;after \; subtracting \;it's \;mean }{number \;of \;data}[/tex]
MAD = [tex]\frac{\sum D}{10}[/tex]
MAD = [tex]\frac{0}{10}[/tex] = 0
the mean absolute deviation of the data = 0.
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What is −10 + |−4| − |−12|?
−6
−12
−18
−22
Answers
Answer:
24
Step-by-step explanation:
a stick is broken into 3 pieces, by randomly choosing two points along its unit length, and cutting it. what is the expected length of the middle part?
Answers
The expected length of the middle part of the stick is 1/3
We know that the Symmetry Principal,
When n points are drooped on a unit segment, the distributions of lengths of the so obtained n + 1 pieces are all the same.
Let the two points have coordinates x and y. Then the expected value of the middle segment is:
[tex]\int\limits^1_0 \int\limits^1_0 {x-y} \, dx~ dy = \frac{1}{3}[/tex]
Let L be the expected value of the length of the middle part of a stick. Since, according to the Symmetry Principle, the lengths of all three segments have the same distribution, their lengths have the same expected value, viz., L.
But in any experiment, the lengths of the three pieces add up to 1.
⇒ 3L= 1
⇒ L = 1/3
Therefore, the expected length of the middle part of the stick is 1/3
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90% is 60 of what number
Answers
Answer:
Step-by-step explanation:
150 90x 100/60
Quadrilateral ABCD - quadrilateral WXYZ, AB = 14 cm, BC = 28 cm, CD = 21 cm, and the scale factor of ABCD to WXYZ is 3/7. Find XY.
Answers
The length of the side of the quadrilateral is 12 cm.
A closed quadrilateral has a total of four sides, four angles and four vertices.
It is a form of polygon. In order to create it, four are joined(not colinear ). Quadrilaterals always have a total internal angle of 360 degrees.Typically, quadrilaterals will have four-sided standard shapes like rectangles, squares, trapezoids, and kites or they may be irregular and undefined.Following is another approach to group different kinds of quadrilaterals: Quadrilaterals that are convex have two diagonals that are entirely enclosed within the figure.Concave Quadrilaterals: At least one diagonal extends partially or completely beyond the boundaries of the figure.Quadrilaterals that intersect: Quadrilaterals that intersect don't just have two non-adjacent sides cross each other.Quadrilaterals of this type are referred to as self-intersecting .from the scale factor properties of quadrilaterals we know that:
Scale factor = BC ÷ XY
Now we substitute the values to find the length of XY.
[tex]or, \frac{3}{7} =\frac{BC}{XY} \\\\or, \frac{3}{7} =\frac{28}{XY}\\\\or, XY = 65.33..\\\\or, XY\approx65.33[/tex]
Hence the length of XY is 65.33 cm.
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A collector has a box of 32 figurines. The value of each figurine increased by $2.32 over the past year. The box of figurines is now worth $114.24. What was the original cost, x, of one figurine? The original cost of one figurine was . Convince Me! Can the equation 32x + 2.32 = 114.24 be used to find the original cost of each figurine in the problem above? Explain.
Answers
Answer:
Step-by-step explanation:
$1.94.Step-by-step explanation:Initial box of figurine = 32Price increase = 2.32Current worth = $144.24Let x be the initial cost of boxes of figurine. (32 * x) * 2.32 = $144.24.74.24x = $144.24.x = $144.24/74.24= $1.94.Therefore the original cost of the box of figurine is $1.94.
Pls pls help whoever gets it right gets a crown
Answers
15/56 a^2
Answer:
[tex]\frac{15}{56} a^2[/tex]
Step-by-step explanation:
In the following diagram MATH is a rectangle with an inscribed circle. The circle has a diameter of 8 centimeters and the rectangle has a height of 12 centimeters
Answers
which is the factor of 6z² - 3z -2 + 4?
Answers
Answer: 5732
Step-by-step explanation:
Answer: 6z^2-3z-2
Step-by-step explanation: hope this helps a little !!!!
12 1/2 divided by 5 1/2
Answers
Answer:
25/11
Step-by-step explanation:
Convert to improper fractions
25/2 ÷ 11/2
take reciprocal of divisor and multiply
25/2 x 2/11
50/22
25/11
please help!!!
i need to find the area of a rectangle with length of three inches and width of 8 inches.
Answers
Answer:
24 inches square
Step-by-step explanation:
Area = length x width
A = 3 x 8 = 24
Rewrite the expression in an equivalent form where the radicand is a positive integer
with no perfect square factors.
√-12
Answers
The equivalent expression of √-12 is 2√-3
How to rewrite the expression?The expression is given as
√-12
Express 12 as 3 * 4
So, we have
√-12 = √(-3 * 4)
Expand the expression
So, we have
√-12 = √-3 * √4
Take the square root of 4
√-12 = √-3 * 2
Evaluate
√-12 = 2√-3
Hence, the equivalent expression of √-12 is 2√-3
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What power of 7 is 40 353 607?
Answers
Answer:
[tex] {} {7}^{x} = 40353607[/tex]
[tex]x = log_{7}(40353607) [/tex]
[tex]x = 9[/tex]
Which of the following is the inverse of F(x)= 3-x/5
A. F-1(x)= 3 - x/5
B. F-1(x)= 5+x/3
C. F-1(x)= 5x - 3
D. F-1(x)= 3-5x
Answers
Answer:
Step-by-step explanation:
B
3/8 × 11=
3/4 × 2 =
.
Answers
[tex]{ \bold{(i)}} \: { \blue{ \tt{4.125}}}[/tex]
[tex]{ \bold{(ii)}} \: { \blue{ \tt{1.50}}}[/tex]
Step-by-step explanation:
[tex]{ \bold{(i)}} \: { \green{ \bold{ \frac{3}{8}}}} \times { \green{ \bold{11}}}[/tex]
[tex] = { \green{ \bold{0.375}}} \: \times \: { \green{ \bold{11}}}[/tex]
[tex] = { \red{ \tt{4.125}}}[/tex]
[tex]{ \bold{(ii)}} \: { \green{ \bold{ \frac{3}{4}}}} \: \times \: { \green{ \bold{2}}}[/tex]
[tex] = { \green{ \bold{0.75}}} \: \times \: { \green{ \bold{2}}}[/tex]
[tex] = { \red{ \tt{1.50}}}[/tex]
Evaluate the expression (p + 4)^2 for p = -5 and g = -2.
^2 is square 2
Answers
=================
Work Shown:
(p+4)^2
(-5+4)^2
(-1)^2
1
Explanation:
We replace p with -5, since p = -5. Then use the order of operations PEMDAS to simplify. Keep in mind that (-1)^2 = (-1)*(-1) = 1. The two negatives cancel out. The value of g is never used.
Under her cell phone plan, Violet pays a flat cost of $38 per month and $3 per gigabyte. She wants to keep her bill under $80 per month. Which inequality can be used to determine xx, the maximum number of gigabytes Violet can use while staying within her budget? A) 80>3x+38 B) 80>3(38+x) C) 80<3x+38 D) 80<3(38+x)
Answers
the inequality is:
$38 + $3*x < $80
And the solution is:
x < 14.
How to find the inequality?We know that Violet's plan has a flat cost of $38 plus $3 per gigabyte.
So, if we define x as the number of gigabytes that Violet uses, then the monthly cost is given by:
C(x)= $38 + x*$3
And she wants to spend less than $80 per month, so we can write the inequality:
$38 + $3*x < $80
Solving that for x we get:
$3*x < $80 - $38 = $42
x < $42/$3
x < 14
We conclude that she needs to use less than 14 gigabytes per month.
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pls help! if the present value of an item is P and we experience an inflation rate of r for t years, blah blah blah I dont feel like writing the rest.
Answers
Answer: 89633.78
Step-by-step explanation: Hope this helps :)
write the equation of each line in slope-intercept form. then graph the line described by the equation
passes through (5,-4) and (-6,5)
(the question is number 6)
Answers
If the theoretical value of a quantity is 3.142, and the calculated value is 3.16, what is the fractional error?
Answers
The fractional error for given example is 0.0057
For given question,
the theoretical value of a quantity is 3.142,
and the calculated value is 3.16
We know that, the fractional error is the ratio of the absolute difference and the accepted value.
Fractional error = absolute difference / accepted value
Fractional error = |E - A| / A
Here, A = 3.142
E = 3.16
So, the absolute difference would be,
|E - A| = |3.16 - 3.142|
= 0.018
Now we find the fractional error.
⇒ Fractional error = |E - A| / A
⇒ Fractional error = 0.018 / 3.142
⇒ Fractional error = 0.0057
Therefore, the fractional error for given example is 0.0057
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A small airplane flew 104 miles in 50 minutes.at this rate,how many miles can it fly in one hour? (50 minutes = 5/6 hour)
Answers
Answer:
124.8 miles
Step-by-step explanation:
We know that if the rate of change of distance with respect to time remains constant, then the distance and time are proportional .Given : A small airplane flew 104 miles in 50 minutes. Let x be the distance traveled in 1 hour. Also, it is given that Then we have the following proportional equation:-
Hence, it can fly 124.8 miles in an hour.
What is the most specific name for the figure? I NEED THE ANSWER
Answers
Answer:
D. Rhombus
Step-by-step explanation:
The most specific name for this figure is a rhombus.
Hope this helps!
Please mark as brainliest if correct!
$2.71 divided by 2.75 round to the nearest cent?
Answers
Answer: $0.99
Step-by-step explanation:
2.71/2.75=
0.98545=
0.98545=$0.99
Explanation: you divide and the answer is 0.98 if you round, 0.9
Confused with this problem please help. "The measure of the supplement of an angle exceeds 3 times the measure of the complement by 30. Find the measure of the supplement."
Answers
Directions Round each amount to the nearest cent, dime and dollar
1. $32.518
Answers
Answer:
$32.52
Step-by-step explanation:
Hope it helps! =D