Answer:
20√3 cm
Step-by-step explanation:
Altitude of an equilateral triangle splits it into 2 equal right triangles, it bisects the base and the angle opposite to the base.
Let the altitude be x. Then as per Pythagorean theorem:
x² = 40² - (40/2)²x²= 1600 -400x²= 1200x= √1200x= 20√3 cmCorrect choice is the second one
If the ratio of the shaded parts of the figure to the total number of parts is 5 to 8, what is the percent of shaded parts to total parts?
a. 40%
b. 58%
c. 62.5%
d. 85%
(with explanation)
Your football team has a probability of 3/4 or 75% of winning a game. Your team is scheduled to play 16 games. How many games will your team win?
A:10
B:12
C:14
Answer:
B. 12
Step-by-step explanation:
3/4 can be converted to something over 16. You have to multiply 4 x 4 to get to 16, so do the same with 3, and 3 x 4 is 12. Now the fraction/proportion is 12/16, so they will win 12 games.
Answer:
B
Step-by-step explanation:
3/4 of 16 is 12 set a relation 3/4 = x/16. 4 x 4 is 16 so multiply 3 x 4 and you get 12 or you can ask siri "what is 75 percent of 16"
Which number comes first if the numbers 12.0036, 0.01249, 3.51, and 0.007 are arranged in order from fewest to most number of significant digits?
a. 12.0036
b. 3.51
c. 0.01249
d. 0.007
Answer:
0.007
Step-by-step explanation:
Because even though there are zeros in front and can be placed in back the other numbers are more because they have numbers where 0.007 don't.
Answer:
As kyeracorley33 states: D. 0.007 should be the correct answer.
Question shown in images
Which describes the cross section of a square prism that passes through vertices A. B. and C?
A. a triangle with three equal sides, all measuring 8 inches
B.a triangle with three equal sides, all longer than 12 inches
C. a triangle with only two equal sides one side measures 8 inches and two sides measure 12 inches
D. a triangle with only two equal sides; one side is longer than 8 inches and two sides of equal length that are longer than 12 inches.
Please answer now, I’m on a timer.
Answer:
c
Step-by-step explanation:
Dmitri wants to cover the top and sides of this box with glass tiles that are 1 cm square.How many tiles will be need?
Dmitri needs 854 glass tiles to cover the top and sides of the box.
Given the dimensions of the box, where Length (L) = 13 cm, Width (W) = 20 cm, and Height (H) = 9 cm, we can find the surface area of the box using the formula for the surface area of a cuboid:
[tex]\[ \text{Surface Area} = L \times W + 2 \times L \times H + 2 \times W \times H \][/tex]
Substitute the values:
[tex]\[ \text{Surface Area} = 13 \times 20 + 2 \times 13 \times 9 + 2 \times 20 \times 9 \][/tex]
[tex]\[ \text{Surface Area} = 260 + 234 + 360 \][/tex]
[tex]\[ \text{Surface Area} = 854 \, \text{cm}^2 \][/tex]
Now, since each glass tile is 1 cm square, the number of tiles needed is the total surface area divided by the area of each tile:
[tex]\[ \text{Number of tiles} = \frac{\text{Surface Area}}{\text{Area of one tile}} \][/tex]
[tex]\[ \text{Number of tiles} = \frac{854}{1} \][/tex]
[tex]\[ \text{Number of tiles} = 854 \][/tex]
Therefore, Dmitri needs 854 glass tiles to cover the top and sides of the box.
Complete Question: Dmitri wants to cover the top and sides of the box shown with glass tiles that are 1cm square. How many tiles does he need? ( The length is 13cm, the width is 20cm and the height is 9cm).
Write an equation of the circle with center (-3, 4) and radius 6.
Answer:
(x+3)²+(y-4)²=36.
Step-by-step explanation:
For this, we need to use the equation of a circle which is:
(x-h)²+(y-k)²= r²
Simply substitute the center values for 'h,k', and the radius for 'r'.
This will give you:
(x+3)²+(y-4)²=36.
What is the Measurement of angle A?
Answer:
A = 60
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
119 = 3y+14 + 4y
Combine like terms
119 = 7y+14
Subtract 14 from each side
119-14 = 7y+14-14
105 = 7y
Divide each side by 7
105/7 = 7y/7
15 = y
We want to find Angle A
A = 4y
A = 4*15
A = 60
) Perry earns $13 per hour. Last week, he worked 6 hours on Monday, 5 hours on
Tuesday, and 9 hours on Wednesday. He had Thursday off, and then he worked 7 hours on
Friday. How much money did Perry earn in all last week?
3.
A farmer buys a new tractor for $75,000. If the tractor depreciates in
value by about 6% per year, how much will it be worth after 15 years?
a $22.992
b
$11,219
C $17,431
$29,647
Answer:
Option D. $29,647
Step-by-step explanation:
The following were obtained from the question:
Present value = $75,000
Rate of depreciation (R) = 6%
Time (t) = 15 years
Amount after 15 years =?
Since the worth of the tractor is depreciating, we shall apply the following formula to obtain the worth after 15 years:
Amount = present value x (1 – R)^t
Amount = $75000 x (1 – 6%)^15
Amount = $75000 x (1 – 0.06)^15
Amount = $75000 x (0.94)^15
Amount = $29647
Therefore, the value of the tractor after 15 years is $29647
A report issued by the mayor's office states that city residents support building a new baseball
stadium. The report is based on a survey of 150 city residents who were shopping at a sporting
goods store. Participants were asked the question, "Do you think the city should replace its outdated
stadium with a more modern stadium?"
Select all statements that correctly evaluate the report
question is not biased
The sample is biased because it does not represent the population
The sample is not biased,
The question is biased toward a Yes response.
The question is biased toward a No response.
Next
Hey, sorry for the late answer but just in case some one else needs help on the problem here it is.
Answer:
"the sample is biased because it does not represent the population." and "The question is biased toward a Yes response."
Step-by-step explanation:
The sample is biased because they people being surveyed are shopping at a sporting shop so most of them are going to support it.
The question is biased because it says "outdated" and "modern" to try to get people to support it.
I took this quiz and this is correct :) hope I can help some one.
find the exact length of the third side
Answer:
X is 8
Step-by-step explanation:
[tex]100^{2} =6^{2} +x^{2}[/tex]
[tex]x=8[/tex]
Answer:
8
Step-by-step explanation:
This is a right triangle, and we know this because of the little square in the corner. Therefore, we can use the Pythagorean theorem.
a^2+b^2=c^2
a and b are the legs, and c is the hypotenuse.
We know the 6 and the unknown side are the legs, since they form the right angle. We also know that 10 is the hypotenuse, since it is opposite the right angle.
6^2+b^2=10^2
Evaluate the exponents
36+b^2=100
Now, we need to solve for b. To do this, we need to get by itself. First, subtract 36 from both sides
36-36+b^2=100-36
b^2=64
Take the square root of both sides
[tex]\sqrt{b^2}=\sqrt{64}[/tex]
b=8
So, the the unknown side is 8
What is 2 divided by 3 written as fractions?
1/3 with a line over the answer ( 0.66666666666...)
The fraction form of the expression ''2 divided by 3'' would be 2/3.
Used the concept of the fraction that states,
A fraction is part of a whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p / q.
Given that the statement is,
''2 divided by 3''
Now it can be written in fraction form as,
''2 divided by 3''
= 2 ÷ 3
= 2 / 3
Therefore, the fraction form is 2/3.
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What is -78.6% (-2.4)? A. -188.64 B. -32.75 C. 32.75 D. 188.64
Answer:
D
Step-by-step explanation:
hope this helps
Answer:
188.64
Step-by-step explanation:
-78.6%(-2.4) =
-0.786(-2.4) =
1.8864
1.8864 * 100 = 188.64
So, your answer letter choice D.
The linear equation y=45x describes how far from home Traci is as she drives from San Francisco to Dawson. Let x represent the number of hours and y represent the number of miles. How far from home is Traci in 12 hours? Graph the equation and tell whether it is linear.
An equation is formed of two equal expressions. The distance between Traci and her home after 12 hours is 540 miles.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that the linear equation y=45x describes how far from home Traci is as she drives from San Francisco to Dawson. where x represents the number of hours and y represents the number of miles.
Therefore, the distance covered by Traci in 12 hours is,
y = 45x
y = 45(12)
y = 540 miles
Hence, the distance between Traci and her home after 12 hours is 540 miles.
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find the distance of the line segment joining the two points (4,-3) and (12,3) 3 10 6 5
Answer:D or 4 square root 3
Step-by-step explanation:
using distance formula -12 square rooted - 2 square root 3 = -4squareroot3. So, after that you would square giving 48 then square root giving 4 square root 3. (-4 square root 2 and -32 square rooted cancel out giving 0)
Please help!!!
I don't understand....
I would really like an explanation..
Answer:
it would be yes
Step-by-step explanation:
LN and XZ are equal to eachother which means the triangles are the same size therefore means LNM = XZY
Answer:
yes
Step-by-step explanation:
because if you match them with the same group then they come out as congruent
I don't know if that is well explain
The steps below show the incomplete solution to find the value of x for the equation.
The answer is 4x=24 because the next step is to add 4 to both sides
Most likely to the next step is option 1) [tex]4x=24[/tex]
The given equation is [tex]7x-3x-4=-1+21[/tex]
and it's already given the step 1, step 2 , step 3 in the question.
Let's simplify the given equation ,
[tex]7x-3x-4=-1+21\\\\7x-3x-4=20\\4x-4=20[/tex]
Taking [tex]4[/tex] to the other side,
[tex]4x=20+4\\4x=24[/tex]
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If a population has 824 subjects, then about how many would have characteristics in the upper quartile?
Answer:
206
Step-by-step explanation:
(.25)(824) = 206
I hope this helps!
There would be 206 characteristics in the upper quartile
How to determine the number of characters?The population of the study is given as:
Subject = 824
A quartile is 1/4.
So, the number of characteristics in the upper quartile is:
Quartile = 1/4 * Subjects
This gives
Quartile = 1/4 * 824
Evaluate
Quartile = 206
Hence, there would be 206 characteristics in the upper quartile
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which of the following is a polynomial?
A. (x^8 - 2) / (x^-2 + 3)
B. 1/x - 1
C. x^2 + 2
D. 7x^7 -2x^-4 + 3
A polynomial is an expression involving addition, subtraction, multiplication, and non-negative integer exponents of variables. Among the options provided, only option C (x^2 + 2) is a polynomial. The correct answer is C.
To determine which of the given options is a polynomial, we need to understand what a polynomials are. A polynomial is an expression that consists of variables and coefficients, involving only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.
Here are the given options:
(A) (x^8 - 2) / (x^-2 + 3)(B) 1/x - 1(C) x^2 + 2(D) 7x^7 -2x^-4 + 3Let's analyze each option:
Option A: (x^8 - 2) / (x^-2 + 3) - This is not a polynomial because it has a variable in the denominator. Option B: 1/x - 1 - This is not a polynomial because of the variable in the denominator. Option C: x^2 + 2 - This is a polynomial. It consists of terms with non-negative integer exponents. Option D: 7x^7 -2x^-4 + 3 - This is not a polynomial because it includes a term with a negative exponent (-2x^-4).Thus, the correct answer is option C, x^2 + 2.
Factor the expression using
the greatest common factor:
27x + 45
Answer:
The GCF should be 9
Step-by-step explanation:
im dumb as heck so plez halp
David, Chen, and Leslie raised money for the school in a walk-a-thon. Altogether they made $46. Leslie made $10. Chen made twice as much as David. How much did David make?
Answer:
David made $18
Step-by-step explanation:
Leslie made $10. This means that you take 46-10=36
Chen-Chen made twice as much as David so 36/2=18 So Chen made $9.
David- 36-18= 18 So, David made 18 dollars.
In this mathematics problem, David, Chen, and Leslie together raised $46, with Leslie raising $10. Given that Chen raised twice as much as David, we can represent David's earnings as 'x' and Chen's as '2x'. By solving the resulting equation 3x = $36, we find that David raised $12.
Explanation:To find out how much David made in the walk-a-thon, we need to break down the information given. We know that all three individuals together made $46, with Leslie making $10. So, David and Chen together made $46 - $10 = $36. But we are also told that Chen made twice as much as David. If we represent David's earnings as 'x', then Chen's earnings would be '2x'. Therefore, 2x (Chen's earnings) + x (David's earnings) equals $36.
Adding 2x and x gives 3x, so the equation to solve is 3x = $36. To solve for 'x', divide both sides of the equation by 3. This gives x = $36 / 3, so David's earnings, represented by 'x', is $12.
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Use the distributive property to expand -4 (-2/5 + 3 x). Which is an equivalent expression?
A) -8/5 + 12x
B) -8/5 - 12x
C) 8/5 + 12x
D) 8/5 - 12x
Answer:
8/5-12x.
Step-by-step explanation:
To distribute, you simply need to multiply each of the terms inside of the parenthesis by -4. This will give you:
=-4([tex]\frac{-2}{5}[/tex])-4(3x)
=8/5-12x. This is your answer!
Answer:
8/5 -12x
Step-by-step explanation:
A football player runs 13 1/2 yards how many feet does he run?
Answer:
40 and a half feet
Step-by-step explanation:
1 meter=3 feet
13.5m=40.5f
The runner will run about 40.5 ft
What is unit conversion?A unit conversion expresses the same property as a different unit of measurement.
For instance, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometers, or feet, or any other measure of length.
Given that, a football player runs 13 1/2 yards we need to find the that, how many feet does he run,
Since,
1 meter = 3 feet
Therefore,
13.5 m = 13.5 x 3 ft
= 40.5 ft
Hence, the runner will run about 40.5 ft
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In the right triangle above, a = 99 and c= 124. Find the value of b, rounded to the nearest tenth.
Answer:
B= -40
Step-by-step explanation:
So a right triangle has to = 180
So we write the given, which 124+99
we are trying to get 180 so lets subtract that by the equation, 180-124+99
180-(124+99)
12+99=223
180-223
=-43
But in your case it has to be rounded to the nearest tenth
So the answer is -40
Which triangle is both scalene and acute?
Answer:
Top right.
Step-by-step explanation:
For it to be an acute triangle, none of the angles can be greater or equal to 90°.
In the case of the top right triangle, none of them are:
51°, 58° , 71°
The definition of a scalene triangle, is that none of the sides must have the same measurements (no sides are congruent). This is true, all measurements are different:
8.3 ft, 9 ft, 10 ft
Top Right choice is your answer.
~
Name each of the following lines, line segments, and rays.
Answer:
A. Line segment
B. Ray
C. Line
D. Ray
Step-by-step explanation:
A line is a straight path of points that has no beginning or end.
A line segment is a portion of a line that has two endpoints.
A ray is a portion of a line which has one endpoint and extends forever in one direction.
The following will be named as follows:
a. line segment GH
b. ray KL
c. line YZ
d. ray EF
Recall:
A line contains a set of points with both ends extending further.A line segment has two endpoints.A ray has just one endpoint and the other end extending further.Therefore, the following will be named as follows:
a. line segment GH
b. ray KL
c. line YZ
d. ray EF
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Photo is attached please help ASAP super easy geometry
Answer:
Volume = 280 cm
Step-by-step explanation:
V=(lwh)/3
length: 10
width: 7
height: 12
V= (10*7*12)/3
V= 840/3
V= 280cm
HELP !!
What is the measure of XY?
A. 133°
B. 43°
C. 47°
D. 137°
Answer:
The correct answer is D.
By applying the theorem of intersecting chord to this circle, the measure of arc XY is: D. 137°.
In Mathematics and Geometry, the theorem of intersecting chord states that when two (2) chords intersect inside a circle, the measure of the angle formed by these chords is equal to one-half (½) of the sum of the two (2) arcs it intercepts.
By applying the theorem of intersecting chord to this circle shown in the image attached above, we can logically deduce that the measure of arc XY can be calculated by using this formula:
m∠ZWV = 1/2 × (Arc XY + Arc ZV)
90° = 1/2 × (Arc XY + 43)
180° = Arc XY + 43
Arc XY = 180 - 43°
Arc XY = 137°