Answer:
correct answer is 2800.
Step-by-step explanation:
You take the area of the square which is 20x20 = 400.
There is 5 squares 400x5 = 2000
There is 4 triangles--which is 1/2 the area of 1 square (In this case).
One triangle = 200
200x4 = 800
2000 + 800 = 2800
Answer:
Step-by-step explanation:
550
Calculate the length of the unknown side of this right-angled triangle.
9 cm
17 cm
Answer:
14.4 cm
Step-by-step explanation:
Answer:
4√13
Step-by-step explanation:
Let's call the missing side length x
The given is a right triangle and in right triangle the square
length of hypotenuse is equal to square sum of other two side lengths
17^2 = 9^2 + x^2
289 = 81 + x^2 subtract 81 from both sides
208 = x^2
4√13 = x
Mary took out a loan to buy a $30,000 boat but had $2,000 cash to put down. Which of the following is true?
a. Mary decreased both assets and liabilities.
b. Mary increased both assets and liabilities.
C. Mary decreased assets and increased liabilities.
d. Mary increased assets and decreased liabilities.
Please select the best answer from the choices provided
A
B
С
D
Which division expression is equivalent
Answer:
Step-by-step explanation:
the division expression equivalent to 4 1/3 / (-5/6) is
13/3 / (-5/6)
The solution is A
4 1/3 is 13/3
4x3= 12 + 1 = 13 which is 13/3
Question 4 Select Prism from the list of shapes. Set the number of lateral faces to five, and explore the cross sections of a pentagonal prism. Move the intersecting plane, and vary the angle between the intersecting plane and the vertical axis to identify the shapes of different types of cross sections. Part A Note all the types of cross sections you observe. In the table, describe the shape of the cross section formed when a particular plane passes through the prism.
Answer:
Step-by-step explanation:
Answer:
Plato
Step-by-step explanation:
rectangle
pentagon
pentagon
pentagon, hexagon ,heptagon
pentagon, quadrilateral, or triangle
What is the equation of the parabola?
A. y=-1/8x^2+5
B. y=1/8x^2+5
C. y=1/8x^2-5
D. y=-1/8x^2-5
Answer:
The answer is option B.
y = 1/8x² + 5
Hope this helps you
Write an equation of the line passing through the point (7,3) that is parallel to the line 4x-7y=9
Answer:
y = -7/4x + 61/4
Step-by-step explanation:
Step 1: Write equation in slope-intercept form
-7y = 9 - 4x
y = 4/7x - 9/7
Step 2: Find slope of perpendicular line
Take the negative reciprocal of the 1st equation
m = -7/4
Step 3: Write out known variables
y = -7/4x + b
Step 4: Find b
3 = -7/4(7) + b
3 = -49/4 + b
b = 61/4
Step 4: Rewrite equation
y = -7/4x + 61/4
21.
6
Which ratio can form a proportion with 6/9
12/8
8/12
10/12
8/13
Step-by-step explanation:
6/9 divide top and bottom by 3 to get 2/3
Now reduce each of the fractions to the lowest terms, and look for one that gives 2/3.
12/8 = 3/2 (divide by 4 top and bottom)
8/12 = 2/3 (divide by 4 top and bottom) This is a solution
10/12 = 5/6 (divide by 2 top and bottom)
8/13 (cannot be reduced)
Therefore the second fraction (8/12) forms a proportion with 6/9.
Answer:
8/12
Step-by-step explanation:
divide through by 2 6/9 = 2/3
also,
divide through by 4
8/12 = 2/3
6/9 = 8/12
Which expression shows the simplified form of (8 r Superscript negative 5 Baseline) Superscript negative 3? 8 r Superscript 15 StartFraction 8 Over r Superscript 15 Baseline EndFraction 512 r Superscript 15 StartFraction r Superscript 15 Baseline Over 512 EndFraction
Answer:
[tex]\frac{r^{15}}{512}[/tex]
Step-by-step explanation:
Given
[tex](8r^{-5})^{-3}[/tex]
Required
Simplify
This can be simplified using the following law of indices;
[tex](ab)^n = a^{n}b^{n}[/tex]
The equation becomes
[tex](8^{-3})(r^{-5})^{-3}[/tex]
Express [tex]8^{-3}[/tex] as a fraction
[tex](\frac{1}{8^{3}})(r^{-5})^{-3}[/tex]
Simplify [tex]8^3[/tex]
[tex](\frac{1}{8*8*8})(r^{-5})^{-3}[/tex]
[tex](\frac{1}{512})(r^{-5})^{-3}[/tex]
The expression can further be simplified using the following law of indices;
[tex](a^m)^n = a^{mn}[/tex]
[tex](\frac{1}{512})(r^{-5})^{-3}[/tex] becomes
[tex](\frac{1}{512})(r^{-5*-3})[/tex]
[tex](\frac{1}{512})(r^{15})[/tex]
[tex]\frac{r^{15}}{512}[/tex]
Hence, the solution to [tex](8r^{-5})^{-3}[/tex] is [tex]\frac{r^{15}}{512}[/tex]
Answer:
D
Step-by-step explanation:
Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the inverse of the line provided on the graph.
Answer: Slope 1/4 therefore slope of new line would be -1/4
Step-by-step explanation:
The points of the inverse of the line provided on the graph are as under:
x=2,y=5
x=0,y=-5
x=1,y=0
What is the inverse of a line?
It means interchanging the values of x with the values of y and form a line which is known a inverse of a line.
How to graph the inverse of a line?firstly point out the points from the graph given in the question as in the graph1 below
now by interchanging the values we get the values of inverse of the line as in the graph 2
By plotting these points on the graph we get the inverse of the line which is in the graph 3
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Solve for x in the diagram.
Answer:
x = 15
Step-by-step explanation:
Using Pythagorean Theorem
=> [tex]c^2 = a^2+b^2[/tex]
Where c= x, a = 12, b = 9
=> [tex]x^2 = (12)^2+(9)^2[/tex]
=> [tex]x^2 = 144+81[/tex]
=> [tex]x^2 = 225[/tex]
Taking sqrt on both sides
=> x = 15
linear inequality: solve -4x+2
Answer:
x≤-6
Step-by-step explanation:
-4x+2≥ 26
Subtract 2 from each side
-4x+2-2 ≥ 26 -2
-4x ≥ 24
Divide by -4 remembering to flip the inequality
-4x/-4 ≤-24/-4
x≤-6
Answer:
B. x ≤ -6
Step-by-step explanation:
-4x + 2 ≥ 26
Subtract 2 on both sides.
-4x ≥ 26 - 2
-4x ≥ 24
Divide -4 on both sides.
x ≤ 24/-4
x ≤ -6
Determine the slope of the following equation: 2y -4x = 9
In △ABC, AD is the angle bisector of ∠A and BE is the angle bisector of ∠B. If AD intersects BE at point O, find m∠AOB given the following: b m∠A = 125°, m∠B = 33° quick I will give brainliest, need in 5 minutes!
Answer:
∠AOB = 101°
Step-by-step explanation:
Given:
AD is the angle bisector of ∠A
BE is the angle bisector of ∠B.
∠A = 125°
∠B = 33°
Find:
∠AOB
Computation:
∠BAO = 125° / 2 = 62.5°
∠ABO = 33°/2 = 16.5°
So,
∠AOB + ∠BAO + ∠ABO = 180°
∠AOB + 62.5° + 16.5° = 180°
∠AOB = 101°
A coin is tossed and a number cube is rolled. What is the probability that the coin shows heads and the number cube shows 5? a. 1/6 b. 1/12 c. 2/3 d. 1/4
Answer:
1/12
Step-by-step explanation:
P( coin = heads) = number of heads / total = 1/2
P( cube = 5) = number of 5's / total =1/6
P( heads, 5) =1/2 * 1/6 = 1/12
The coin toss and the number cube roll are independent events.
This is because the result of the coin toss does
not affect the result of the number cube roll.
To find the probability of two independent events, we first find the probability of each event, then we multiply the probabilities.
Since there is only one way to get heads when tossing a coin and there are 2 possible outcomes, tossing a heads or tails, the probability of getting heads is 1/2.
Since there is only one way to roll 5 on a number cube, there
is 1 favorable outcome but six possible outcomes.
So the probability of rolling a 5 is 1/6.
Now multiply.
So we have 1/2 · 1/6 which is 1/12.
-b -b +5 pls show work and solve
Answer:
Step-by-step explanation:
-b -b +5
= -2b + 5
Which description is paired with its correct expression? seven less than the quotient of two and a number squared, increased by six; 7 minus StartFraction 2 Over n squared EndFraction + 6 nine times the difference of a number cubed and three; 9 (n cubed minus 3) eight more than the quotient of a number squared and four, decreased by seven; 8 + StartFraction 4 Over n squared EndFraction minus 7 twice the difference of a number cubed and eight; 2 n cubed minus 8
Answer:
the second description and and expression is correct
Step-by-step explanation:
the first one is wrong because it says 7 minus while it should be minus 7
nine times the difference of a number cubed and three; 9(n³-3)
Paired data in statistics, often referred to the ordered pairs, refers to 2 variables in the individuals of the population that are linked together in the order to determine correlation between them.
Given :
7 less than the quotient of two and a number squared increased by six
7 - (2/n²) + 6
9 times the difference of a number cubed and three; 9(n³-3)
8 more than the quotient of a number squared and four, decreased by seven; 8 + (4 /n²) - 7
twice the difference of a number cubed and eight; 2 n³- 8
To Find: Which description is paired with its correct expression
Solution:
7 less than the quotient of two and a number squared increased by six
7 - (2/n²) + 6
Correct Expression is -7 + (2/n²) + 6
nine times the difference of a number cubed and three; 9(n³-3)
Expression is Correct
8 more than the quotient of a number squared and four, decreased by seven; 8 + (4 /n²) - 7
Correct Expression is 8 + (n²/4) - 7
twice the difference of a number cubed and eight; 2 n³- 8
The correct expression is 2( n³- 8)
Hence the correct answer is :
nine times the difference of a number cubed and three; 9(n³-3)
Statistics is a mathematical body of the science that pertains by the collection or analysis, or interpretation and explanation, or presentation of data, and as a branch of mathematics. Some consider statistics to be the distinct mathematical science rather than a branch of mathematics.
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Does this table represent a function? why or why not?
Answer:
I think it's A but I could be wrong
Answer: B
Step-by-step explanation:
A graph or table is a function if it passes the vertical line test. That means, each x and only 1 y. One x cannot have more than 1 y because, that means it does not pass the veritcal line test. In the vertical line test, the vertival line only passes through 1 point, not 2. Since we know that this graph does not pass the vertical in test, we can eliminate C and D. We can eliminate A because 2 y-values can be the same as lone as there have different x. B fits the description of what we see on the table. Therefore, the answer is B.
59. A car dealership has SUVs and sedans in a ratio of
5:9. How many sedans does the car dealership
have if there are 140 SUVs?
Answer:
The car dealership has 252 sedans.
Step-by-step explanation:
Number of SUVs = 140
Ratio of SUVs to sedans = 5:9
Sum of ratios = 5+9 = 14
Total number of cars = 14/5 × 140 = 392
Number of sedans = 9/14 × 392 = 252
and distance of the last ramp is ______ feet (round to the nearest foot)
Answer:
The distance of the last ramp is 10 feet.
Step-by-step explanation:
From the options and the question, I assume that the height of the ramp is 6 feet. Pythagorean theorem states:
a² + b² = c²
where c is the hypotenuse, and a and b are the legs of the triangle. In this case:
6² + 8² = x²
√100 = x
10 ft = x
Simplify as a ratio: 100:199:47
Answer:
Find GCF of all values in the given ratio
GCF(100, 199, 47) = 1
When GCF value is equal to 1, the given ratio can not be simplified.
Step-by-step explanation:
It cant be simplified
Answer:
100:199:47
Step-by-step explanation:
The ratio cannot be simplified.
The numbers 199 and 47 are prime numbers, and only have the factors of 1 and themselves.
I only need help step by step solution for question#40 and #44
the link is not working :(
Every day you collect 3 pennies and keep them in a jar. So the first day you have 3, the second day you have 6, the third day you have 9, etc. How many do you have on the 13th day?
Answer: 39 Pennies
Step-by-step explanation: You can think about this question as a multiplication problem. When you look at the pattern of the the other days you notice that they are all mulitples of 3. So when you want to find the number of pennies on the 13th day. You can do 3*13 = 39.
Which are correct representations of the inequality -3(2x - 5) <5(2 - x)? Select two options.
Answer:
The third and fourth options.
Step-by-step explanation:
You simplify the inequality first...
-6x + 15 < 10 - 5x
-x < -5
x > 5
The first option is incorrect since it is less than.
The second option is basically -5x < 15; x > -3; that's incorrect.
The third option is basically -x < -5; x > 5; that is correct!
The fourth option is correct since it shows more than 5.
The fifth option is incorrect because it shows less than -5.
Hope this helps!
Answer: The answer is C and E
Step-by-step explanation:
Hope this helps;)
solve:
|3x+ 2| > 14
show work
Answer:
x < -16/3 or x > 4
Step-by-step explanation:
This is split into two inequalities: 3x + 2 > 14 and -(3x + 2) > 14.
3x + 2 > 14
3x > 12
x > 4
-(3x + 2) > 14
3x + 2 < -14
3x < -16
x < -16/3
Answer:
[tex]x > 4[/tex]
Step-by-step explanation:
Move the constant to the right-hand and change its sign:
[tex]3x > 14 - 2[/tex]
Subtract the number:
[tex]3x > 12[/tex]
Divide both sides of the inequality by 3:
[tex]3 \div 12 = 4[/tex]
Therefore, the answer will be x > 4.
Mr. Maddox asked four students to create a number line to help find the sum of the fractions. Negative StartFraction 7 over 10 EndFraction + StartFraction 4 over 10 EndFraction Which number line would be best to find this sum?
Answer:
First choice
Step-by-step explanation:
Sum of fractions:
-7/10 + 4/10= - 3/10
the interval required on the line from the left of - 7/10 to the right of -3/10
Which number line would be best to find this sum?
-8/10 to 0
yes, this is good as covers the interval from -7/10 to - 3/10
-3/10 to 3/10
no, it doesn't include the left half of required section
4/10 to 11/10
no, it doesn't include the required interval
0 to 15/10
no, it doesn't include the required interval
Answer:
A
Step-by-step explanation:
Give the starting value a, the growth factor b, and the growth rate r if Q = abt = a(1 + r)t Write r as a percent. Q = 1750 (1.593) Superscript t a. a = 1750 b = 1.593 r = 0.593% c. a = 2787.75 b = 2.5376 r = 0.593% b. a = 1750 b = 1.593 r = 59.3% d. a = 2787.75 b = 1.593 r = 59.3%
Answer:
Option b.
Step-by-step explanation:
If the starting value a, the growth factor b, and the growth rate r, then
[tex]Q=ab^t=a(1+r)^t[/tex] ...(1)
It is given that
[tex]Q=1750(1.593)^t[/tex] ...(2)
On comparing (1) and (2), we get
[tex]a=1750, b=1.593[/tex]
Now, equation (2) can be rewritten as
[tex]Q=1750(1+0.593)^t[/tex] ...(3)
On comparing (1) and (2), we get
[tex]r=0.593[/tex]
[tex]r=(0.593\times 100)\%[/tex]
[tex]r=59.3\%[/tex]
Therefore, the correct option is b.
Juan did a survey in four butterfly parks and wrote the following observations: Butterfly Park Survey Park Number of Pink Butterflies Total Number of Butterflies P 25 53 Q 35 64 R 37 75 S 23 55 Based on the survey, which park had the greatest percentage of pink butterflies? Park P Park Q Park R Park S
Answer:
Park Q has greatest percentage of pink butterflies.
Step-by-step explanation:
Butterfly Park Survey Park P Q R S
No, of Pink Butterflies 25 35 37 23
Total Number of Butterflies 53 64 75 55
Now we are supposed to find which park had the greatest percentage of pink butterflies
So, Percentage of pink butterflies in park P =[tex]\frac{25}{53} \times 100=47.169\%[/tex]
Percentage of pink butterflies in park Q =[tex]\frac{35}{64} \times 100=54.68\%[/tex]
Percentage of pink butterflies in park R= [tex]\frac{37}{75} \times 100=49.33\%[/tex]
Percentage of pink butterflies in park S= [tex]\frac{23}{55} \times 100=41.81\%[/tex]
So, Park Q has greatest percentage of pink butterflies.
So, Option B is true
Hence Park Q has greatest percentage of pink butterflies.
A cube has an edge length of 13 feet. What is its volume, in cubic feet?
Answer:
V =2197 ft^3
Step-by-step explanation:
The volume of a cube is given by
V = s^3 where s is the length of a side
V = 13^3
V =2197 ft^3
Answer:
Volume = 2197ft³
the ratio of the surface area of two similar solids is equal to the square root of the ratios between their corresponding edge lengths. True or False
Answer:
False
Step-by-step explanation:
Just trust me on this
Answer:
The correct answer is False
Step-by-step explanation:
What are the first three terms of the Arithmetic Sequence an=11-3(n-1)?
a. 1, 2, 3
b. 0, 8, 16
c. 8, 5, 2
d. 11, 8, 5
Answer:
11,8,5
Step-by-step explanation:
an=11-3(n-1)
Let n=1
a1 = 11 - 3(1-1)
= 11 -0
=11
Let n=2
a2 = 11-3(2-1)
= 11 -3(1)
= 8
Let n=3
a3 = 11-3(3-1)
= 11 -3(2)
= 11 -6
=5
Answer:
The answer is 11,8,5
Step-by-step explanation:
that's the correct answer