Answer:
Possible values of x are whole numbers that are lesser than 15 inches
Step-by-step explanation:
We are given;
Base; b = 15 inches
Height; h = 10 inches
Formula for area of triangle is;
A_tria = ½bh
A_tria = ½ × 15 × 10
A_tria = 75 Sq.in
Now, formula for trapezoid is;
A_trapez = ½(a + b)h
Where a is the side parallel to the base.
We are told that the area of the trapezoid is less than twice the area of the triangle.
Thus;
½(a + 15)10 < 2(75)
Simplifying;
5(a + 15) < 150
Divide both sides by 5 to get;
a + 15 < 150/5
a + 15 < 30
Subtract 15 from both sides to get;
a < 30 - 15
a < 15
Possible values of x are whole numbers that are lesser than 15 inches
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.
Question, write an expression representing the supplies needed. 1. She needs one mouse for each snake, plus two extra mice. How many mice are needed if the number of the snakesas: a. 10 b. 6 C. X
Answer:
a. 12 mice
b. 8 mice
c. (X + 2) mice
Step-by-step explanation:
Given that one mouse is required for each snake, this implies that a snake is accompanied by a mouse. But two extra mice are included, let the number of snake be represented by N and number of mice be represented by L.
Supply needed = N + L + 2
= 2N + 2 (∵ N = L)
So that:
Number of mice needed = N + 2
a. When the number of snake is 10, the number of mice needed would be:
Number of mice needed = 10 + 2
= 12
Number of mice needed is 12.
b. When the number of snake is 6, the number of mice needed would be:
Number of mice needed = 6 + 2
= 8
Number of mice needed is 8.
c. When the number of snake is X, the number of mice needed would be:
Number of mice needed = X + 2
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.
Algebra 1
S.4 Find the slope from
Find the slope of the line that passes through (3, 4) and (10, 1).
Simplify your answer and write it as a proper fraction, improper fraction, or Integer.
Submit
Answer:
-3/7
Step-by-step explanation:
slope = (y2-y1)/ (x2-x1) = 4-1/3-10 = 3/-7
convert 3 √5^2 to fraction
Answer:
15 (simplified)
Step-by-step explanation:
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
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
The inside of an ice cream scoop...
Answer:
D
Step-by-step explanation:
I cannot assure you this, because it is extremely hard for me too. It is my best guess.
Plz mark as brainliest!!!
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.
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]
How do I get the answers down below? Could anyone help me? I will give brainliest and 25 points :)))
In the figure below, the horizontal lines are parallel. Find the measure of the labeled angles: 2y+2 and 4y-2
THE ANSWERS ARE:
(2y+2)=62degrees
(4y-2)=118degrees
y=30
Answer:
Step-by-step explanation:
The angles that you have shown are called same side exterior angles.
All same side exterior angles add to 180 degrees
Since we know this, we can make the following equation:
2y+2+4y-2=180
6y=180
y=30
To get each angle you can plug in y:
2*30+2=62
4*30-2=118
I hope this helps :)
Jodie bought a refrigerator on sale for 35% off the original price, for $97. What was the price of the refrigerator before the sale?
I need help
Answer:
$149
Step-by-step explanation:
As it is 35% off, $97 is therefore 65% of the full price [because 100 -35 = 65].
You can then divide 97 by 65 [1.49 to 2 d.p] to get 1% of the full price. 100% is the full price so we multiply 1.49 by 100 and the result of that is 149.
( − .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
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.
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
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
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.
If this helped, consider giving brainliest.
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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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
Choose whether the probability is mutually exclusive or not
answer choice is:
mutually exclusive or not mutually exclusive
P(A) = 2/5 P(B) = 1/2 P(A or B) = 9/10
9514 1404 393
Answer:
mutually exclusive
Step-by-step explanation:
The formula of interest is ...
P(A or B) = P(A) + P(B) - P(A and B)
Filling in the given values, we have ...
9/10 = 2/5 + 1/2 - P(A and B)
Solving for P(A and B), we get ...
P(A and B) = 2/5 +1/2 -9/10 = 4/10 +5/10 -9/10
P(A and B) = 0
__
Events are mutually exclusive when they can never happen at the same time. That is, P(A and B) = 0.
The events A and B are mutually exclusive.
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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Please help me with my work
Answer:
top left is "same" top right is "parallel"
Can anyone help me with this?
Answer:sure
Step-by-step explanation:
Answer:
the answer would be 3
Step-by-step explanation:
plz mark brainly
if possible can you include your method? :)
Step-by-step explanation:
11/15 = 73.333/100
73.333/100 = 0.73333
0.73333 = 0.73 (2sf/2dp)
Answer:
73/100
Step-by-step explanation
Since 0.73 =11/15 is false, there is no solution.
No solution
0.73 is the same as 73/100
so the answer is
73/100
in decimal form is 0.73
What is the measure of angle b?
A) 54
B) 46
C) 126
D) 136
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:
4) What type of angle pair are
A. vertical angles
B. supplementary angles
C. adjacent angles
D. linear pair
Answer:
C. adjacent angles
Hope this helps also please mark brainliest :)
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.
PLEASE HELP W MATHHHH
Answer:
(15m^2 + 5)
Step-by-step explanation:
(m2 - 3m + 19 ) + (2m2 + m) + (4m2 - 7) + (2m2 + m) + (4m2 - 7) + (2m2 + m)
15m2 + 0m + 5
=> 15m^2 + 5
Answer:
try adding all the sides up
Step-by-step explanation:
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
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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