Answer:
3.3°
Step-by-step explanation:
The set up of the question will give a right angled triangle where the height covered by the bal is the opposite side.
The length at which the pitcher hit the ground is the hypotenuse.
Given
Opposite side = 3.4m
Hypotenuse = 58.8m
Required
Angle of depression
Using SOH CAH TOA trigonometry identity
According to SOH,
Sin(theta) = opposite/hypotenuse
Sin(theta) = 3.4/58.8
Sin(theta) =0.05782
theta = sin^-1(0.05782)
theta = 3.32°
Hence the angle of depression that he must release the ball to nearest tenth is 3.3°
1. Fill in the blank: The value of 8 dimes is ___
% of the value of a dollar.
2. Name a combination of coins that is 130% of the value of a dollar.
Answer:
1. 80%.
2. 2 quarters, 3 dimes, 4 nickels, 30 pennies. (if you don't use pennies make it 6 dimes.)
4) What type of angle pair are
A. vertical angles
B. supplementary angles
C. adjacent angles
D. linear pair
Answer:
C. adjacent angles
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Solve by the substitution method.
-3x – 3y = 3
y=-5x – 17
Answer:
postive 6
Step-by-step explanation:cause negative plus a negative equals a postive
A line has a slope of Negative three-fourths and passes through the point (–5, 4). Which is the equation of the line?
y = negative three-fourths x + one-fourth
y = negative three-fourths x + 4
y = negative three-fourths x minus 2
y = negative three-fourths x minus one-fourth
The answer is A. y=-3/4x+1/4
The required equation of the line is y = (-3/4)x - 2 which passes through the point (–5, 4). The correct answer would be an option (C).
What is the slope of the line?The slope of a line is defined as the gradient of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Let the required equation of the line would be as:
y - y₁ = m(x - x₁)
Since the line passes through the point (–5, 4) and slope m = -3/4
So substitute the values in the above equation, and we
y - (-5) = (-3/4)(x - 4)
y + 5 = (-3/4)x - (-3/4)4
y + 5 = (-3/4)x + 3
y = (-3/4)x + 3 - 5
y = (-3/4)x - 2
Thus, the required equation of the line is y = (-3/4)x - 2.
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Zuri is stuck in traffic. She notices that she only drove 3 miles in 15 minutes. Find Zuri's speed in miles per minute. Express your answer as a decimal (which will be less than 1).
Answer:
0.2 miles per minutesStep-by-step explanation:
We are expected to solve for speed with which she moves
Step one:
given data
distance = 3 miles
time taken t= 15 minutes
Step two:
we know that speed is
Speed= distance/time
Speed= 3/15
Speed= 1/5
Speed=0.2 miles per minutes
If B is in the interior of ∠DEF, m∠DEB = 27.2, and m∠DEF = 92.5, find m∠BEF. (Lesson 2-7)
Answer:
m∠BEF = 65.3°
Step-by-step explanation:
Given:
m∠DEB = 27.2,
m∠DEF = 92.5
Required:
m∠BEF
SOLUTION:
Since B is the interior of ∠DEF, it means ∠DEB and ∠BEF are adjacent angles that make up ∠DEF. And they share the same side, BE.
Therefore:
m∠BEF + m∠DEB = m∠DEF (angle addition postulate)
m∠BEF + 27.2 = 92.5
Subtract 27.2 from each side
m∠BEF + 27.2 - 27.2 = 92.5 - 27.2
m∠BEF = 92.5 - 27.2
m∠BEF = 65.3°
Answer:
92.5 and 27.2 and 65.3 will be the answer.
Avery owns a small business selling ice-cream. She knows that in the last week 6
customers paid cash, 48 customers used a debit card, and 16 customers used a credit
card.
If next week, she is expecting 400 customers, about how many would you expect to
pay with a credit card? Round your answer to the nearest whole number.
Answer:
About 91 customers would be expected to pay with a credit card.
Step-by-step explanation:
Well you have ro set up a ratio of 16/70 = x/400
This way the amount of people that used a credit card out of all of the people that came and you can figure out the amount of people that will use a credit card out of the 400 people that are expected tho come. You multiply like a butterfly. 70 times x and 400 by 16. Then you will get 6,400=70x divide both sides by 70 and get 91.42=x so if ypu round, 91 people are expected to pay using a credit card out of the 400 customers that are expected to come.
I need help with this slope problem
Answer:
what is it? you did not post the picture
Find the length of the arc on a circle with a radius of 7 centimeters and a central angle of 74 degrees
Answer:
Length of arc: 9.04cm
Step-by-step explanation:
Circumference = pi x diameter (or radius times 2 in this case)
C = pi x (7 x 2)
C = pi x 14
C is equal to around 43.98cm
In order to find the length of the arc, you use the central angle and turn it into a fraction, and then multiply that fraction by the circumference.
74 degree angle/ 360 degrees --> 74/360
74/360 x 43.98 = 9.04cm
help i’m timed pllzzzzz
Answer:
[tex]a = p*q\\b = (p*s)+(q*r)\\c = r*s[/tex]
Step-by-step explanation:
The standard form of trinomial is given as:
[tex]ax^2+bx+c[/tex]
And the factored form is:
[tex](px+r)(qx+s)[/tex]
In order to find the values of a,b and c in terms of p,q,r and s we will take the factored form, multiply it and then compare it with the standard form.
So,
[tex](px+r)(qx+s)\\=px(qx+s)+r(qx+s)\\= pqx^2+psx+qrx+rs\\= pqx^2+(ps+qr)x+rs[/tex]
Now comparing it with the standard form of trinomial
We will compare the co-efficients of x^2, x and the constant
By comparing, we get
[tex]a = pq = p*q\\b = ps+qr = (p*s)+(q*r)\\c = rs = r*s[/tex]
Hence,
[tex]a = p*q\\b = (p*s)+(q*r)\\c = r*s[/tex]
PLS PLS PLS HELP MEEEEE HIGH POINTS PLS ANSWER CORRECTLY I NEEEED U
In parallelogram WXYZ, the shorter sides are half the length of the longer sides.
Parallelogram W X Y Z. The length of sides W X and Z Y are 12 inches. Angle Y is 120 degrees. Angle Y is opposite to Angle W.
Which statements are true? CHECK ALL THAT APPLY.
A. Quadrilateral WXYZ is a rectangle.
B. The quadrilateral has opposite sides that are parallel.
C. The quadrilateral has opposite angles that are congruent.
D. If W X = 12 in., then X Y = 6 in.
E. Side WZ must be 12 inches.
F. mAngle Z = measure of angle X
G. Measure of angle W = 120 degrees
H. Measure of angle Z = 120 degrees
Answer:
B
E
H
I think this is right
For the given parallelogram following statements are true
B. The quadrilateral has opposite sides that are parallel
F. Measure of angle Z = Measure of angle X
G. Measure of angle of W =120 degrees
What is parallelogram?
A parallelogram is a simple quadrilateral with two pairs of parallel sides
Given,
Shorter sides are half the length of the longer sides. Length of he side WX and ZY are 12 inches. Angle Y is 120 degrees. Angle Y is opposite to angle W
Draw the figure using the the data
Using the figure we can say that
The quadrilateral has opposite sides that are parallel
Measure of angle Z = Measure of angle X
Measure of angle of W =120 degrees
Hence, the correct options are B,F and G
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if i = √-1, then i^2 = ?
The imaginary unit i is exactly defined as a number that gives -1 when squared.
So, by its very definition, you have the attachment I have attached as an answer.
A stadium charges $75 for each seat in section A, $50 for each seat in section B, and $40 for section C. There are three times as many seats in section B as in section A. The revenue from selling odd 20,000 seats is 897,500. Write a system to represent the situation.
A. b=3×c
a+b+c=20,000
75a+50b+40c=897,500
B. b=3×a
a+b+c=20,000
75a+50b+40c=897,500
C. a=3×b
a+b+c=20,000
40a+50b+75c=897,500
D. a=3×b
a+b+c=20,000
75a+50b+40c=897,500
Answer:
B. b=3×a
a+b+c=20,000
75a+50b+40c=897,500
Step-by-step explanation:
A stadium charges
$75 for each seat in section A
$50 for each seat in section B
$40 for section C.
There are three times as many seats in section B as in section A.
a = 3× b
The revenue from selling odd 20,000 seats is 897,500.
a + b + c = 20,000 seats
Hence,
$75 × a + $50 × b + $40 × c = 897,500
75a + 50b + 40c = 897,500
Hence, the system of equations is :
B. b=3×a
a+b+c=20,000
75a+50b+40c=897,500
Nate is saving money for the class trip to Chicago. He already has 300$ saved up so far and can save an additional 50$ each month. If the trip costs 850 how many months will it take him to have enough for the trip?
Answer:
11 months
Step-by-step explanation:
Nate needs $850 total, and he already has $300. So, the money left that he needs is 850-300 which is $550.
Now, he can save $50 each month, and we need to find the amount of months, x, it will take to reach his goal.
He needs $550, to the equation is:
50x=550
We need to isolate x, so we divide both sides by 50.
x=11
It will take Nate 11 months to save for the trip.
Answer:
11 months
Step-by-step explanation:
850-300=550
550÷50=11
What is the solution to the equation?
Answer:
-63
Step-by-step explanation:
BRAINLY FOR RIGHT ANSWER AND STEP BY STEP LOTS OF POINTS BTW
A car’s fuel economy E(miles per gallon) is given by the formula E=mg, where m is the number of miles driven and g is the number of gallons of fuel used.
Solve the formula for m.
If Sally’s car has an average fuel consumption of 30 miles per gallon and she used 9.5 gallons, how far did she drive?
Answer:
60 miles
Step-by-step explanation:
Percentage rate of increase or decrease y = 3500(1.079)
Answer:
Increase
Step-by-step explanation:
If you multiply the numbers it increases!
In the picture lines A B and CD are parallel. Find the measures of the following angles. Explain your
reasoning.
1. ZBCD
2. ZECF
3. ZDCF
Evaluating Expressions
Evaluate the expressions for the given value and match them with the simplified answer.
5 - x/3 for x = -3
2
- 2 + 2x/3 for x = 6
6
2 - 3x4 for x = 4
0
-3 + x/2 for x = 6
-1
() Intro
Done
Evaluating the given expressions and simplifying the answers, we would have:
1. 6
2. 2
3. -1
4. 0
How do you Evaluate an Expression?To evaluate an expression, plug in the value of the variable given and simplify.
Thus:
1. 5 - x/3 for x = -3
Substitute x = -3 into the expression
5 - (-3)/3 = 5 - (-1) = 6
2. - 2 + 2x/3 for x = 6
-2 + 2(6)/3
-2 + 4
= 2
3. 2 - 3x/4 for x = 4
2 - 3(4)/4
2 - 3
= -1
4. -3 + x/2 for x = 6
-3 + 6/2
-3 + 3
= 0
Therefore, evaluating the given expressions and simplifying the answers, we would have:
1. 6
2. 2
3. -1
4. 0
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Find the slope of the line y = 2x + 3.
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
proper fraction
Step-by-step explanation:
4. If you are given that plq and p || r,
what can you conclude about lines q and r?
State the theorem that justifies that conclusion.
which is the correct curve for y=3/x
What is b) please help I will give 5 points or even all of them. PLEASE PLEASE PLEAS HELP!!!!!
Answer:
A
Step-by-step explanation:
If we evaluate 3/x at x=1, we get 3/1 = 3.
The only one that showed that is graph A, and we can further check by evaluating other points, such as when x = 1/2, y = 6, and that's shown on graph A.
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Graph A, correctly represents the function y = x/3.
What is a graph?The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.
These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.
From the table of y = 3/x,
The value of (x, y) are (0.5, 6), (1, 3), (2, 1.5), (3, 1) and (4, 0.75).
Now, Observe graphs A, B, and C.
Graph A, when x = 0.5, y = 6, when x = 1 y = 3 so graph A matches with our table.
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What is an equation of the line with a y-intercept of `-5` and a slope of -3/5?
Answer:
Step-by-step explanation: 5=-3/5 that is how it is written in slope form.
Help me solve this problem please
Answer:
y = -2x + 17
Step-by-step explanation:
y has to equal 5:
incorrect
y = -2x - 17
y = -2(6) - 17
y = -12 - 17
y = -29
incorrect
y = -2x - 16
y = -2(6) - 16
y = -12 - 16
y = -28
incorrect
y = -2x + 16
y = -2(6) + 16
y = -12 + 16
y = 4
correct
y = -2x + 17
y = -2(6) + 17
y = -12 + 17
y = 5
use the numbers 1,3,4,6 exactly once with any basic math operation(multiplication,division,addition and subtraction) to total 24
Step-by-step explanation:
It is 4*6! We have to play with these numbers (1,3, and 4) to create 4, or we have to play with these numbers (1,3, and 6) to create 6.
If you divide 6 by 1/4, you will get 24.
If you divide 4 by 1/6, you will get 24.
How to create 1/4 from 1,3, and 4?
How to create 1/6 from 1,3, and 6?
Creating 1/4 from 1,3, and 4 is possible by doing this: 1–3/4, it is =1/4!
So, the answer is 6/[1–3/4]=24.
What is the measure of angle b?
A) 54
B) 46
C) 126
D) 136
spimplyfy 2x+4-3x+2+3x2 x + 4 − 3 x + 2 + 3 x
Answer:
12x + 12
Step-by-step explanation:
2x+4-3x+2+3x(2)+x+ 4 − 3 x + 2 + 3 x
Solve 3x(2) = 6x
Next combine like terms
Like terms:
2x + 3x + 6x + 1x + (-3x) + 3x = 12x
4 + 2 + 4 + 2 = 12
Rewrite simplified
12x + 12
^^This is the correct answer assuming that 3x2 x is 3x(2) + x
In the fraction 7/8 , the Numerator Denominator is 7.
Answer:
The numerator
Step-by-step explanation:
numerator is the top
denominator is the bottom
( − .3 s − 2 ) + 2 ( 5 − 3.4 s )
Answer:
−7.1s+8
Step-by-step explanation:
First Distribute
=−0.3s+−2+(2)(5)+(2)(−3.4s)
=−0.3s+−2+10+−6.8s
Combine Like Terms:
=−0.3s+−2+10+−6.8s
=(−0.3s+−6.8s)+(−2+10)
=−7.1s+8
Answer:
−
7.1
s
+
8Step-by-step explanation:
−7.1s+8
PLEASE HELP CORRECT ANSWER GETS BRAINLIEST !
Answer:
2nd Option
Step-by-step explanation: