Answer:
a) yes, they are similar
b) ΔDEF will have a greater area
1.2 times greater (which is the same proportion as 36/30)
Step-by-step explanation:
a) 40/48 = 0.8333
30/6 = 0.8333
Same ratio so they are similar
b) ΔDEF will have a greater area because EF is longer than BC.
area of ΔABC = 1/2(30)(40) = 600 cm²
area of ΔDEF = 1/2(36)(40) = 720 cm²
720/600 = 1.2 x greater
Which equation shows y = (x − 4) 2 − 3 written in standard form?
Answer:
2x-y=11 is the standard form
Step-by-step explanation:
Find the surface area of the prism.
13 m
5 m
11 m
12 m
HELP ME ASAP
Answer: 345.977 m^3
Step-by-step explanation:
Classify the triangle with the given side lengths: 5, 9, 10
Kaden invested $5,000 into a savings account. The interest was compounded
annually at 2.5%. How much interest will Kaden earn in 30 months?
Answer:
I think it would be 873.
Step-by-step explanation:
You just have to calculate.
In square ABCD, m∠AED=(7x−8)°. What is the value of x?
Answer:
12
Step-by-step explanation:
The angle equals 90 degrees so (8*12-6) would equal 90
hopefully i helped
PLLSSS HELP ME!! Which of the following functions accurately represents f??
Answer:
C. f(x) = x - 9 is the function that accurately represents f
Step-by-step explanation:
Plug in a value from the table to check which function is correct
1. Plug in x = 3 and check if you get -6.
A. f(3) = -4(3) + 12 = -12 + 12 = 0 -> 0 ≠ -6 so A is not the correct function
B. f(3) = 3(3) + 2 = 9 + 2 = 11 ≠ -6 so B is not the correct function
C. f(3) = 3 - 9 = -6 = -6 so C is the correct function
D. f(3) = -5(3) - 1 = -15 - 1 = -16 ≠ -6 so D is not the correct function
You are driving to visit a friend in another state who lives 700 miles away. You are driving 65miles per hour and have already driven 375 miles. Write and solve an equation to find how much longer in hours you must drive to reach your destination.
Answer:
5 hours
Step-by-step explanation:
distance = rate x time
t = time
(700-375) = 65t
325 = 65t
325/65 = t
5 hours = t
Mrs. Garcia pays all her bills using online banking and maintains a minimum checking balance of $400. She uses her debit card while shopping and at the ATM. Which banking institution is the best deal for her?
A. banking institution that offers free or low-cost checking accounts has online banking and offers a free debit card.
B. A banking institution that has a low fee for checking accounts and $0.25 or less for writing checks.
C. A banking institution that charges a low monthly checking account service fee, has unlimited check writing, and overdraft protection.
D. A banking institution that has no fee for writing checks and a savings account option.
Which OnE!?!? Pls help me ฅ^•ﻌ•^ฅ
Someone please help ASAP
HELP ITS URGENT PLEASEEE
Answer:
162 degrees
Step-by-step explanation:
We can look at this problem like a circle, the figure is essentially a circle and a circle is equal to 360 degrees. Using this and knowing that the box is equal to 90 degrees you simply subtract 90+108 from 360 to get a.
Michael gets 52% better at press
ups. He used to be able to do 62.
How many can he do now?
Answer:
94 press ups
Step-by-step explanation:
62 x 1.52 = 94.24
≈94
what is the answer to this equation 3 + 3/2x + 4 = 4x - 5/2x
Answer:
No solution
Step-by-step explanation:
When we take the 5/2 x to the other side, 4x and 4x cancels out. We get 7=0 which is incorrect. Therefore, x has no solution.
By the way, can you follow me on Brainly?
Thanks!
Answer:
x= [tex]\frac{7 (+-) \sqrt{113} }{8}[/tex]
Step-by-step explanation:
PLS HELP 20 POINTS
A baseball is hit into the air at an initial height of 4 feet and an initial velocity of 30 feet per second. For how many seconds is it in the air?
Quadrilateral EFGH is on a coordinate plane. Segment FG is on the line 3x − y = −2, and segment EH is on the 3x − y = −6. Which statement proves how segments FG and EH are related?
Answer:
the slope of both lines are the same.
Step-by-step explanation:
Given the following segment of the Quadrilateral EFGH on a coordinate Segment FG is on the line 3x − y = −2,
segment EH is on the 3x − y = −6.
To determine their relationship, we can find the slope of the lines
For line FG: 3x - y = -2
Rewrite in standard form y = mx+c
-y = -3x - 2
Multiply through by-1
y = 3x + 2
Compare
mx = 3x
m = 3
The slope of the line segment FG is 3
For line EH: 3x - y = -6
Rewrite in standard form y = mx+c
-y = -3x - 6
Multiply through by-1
y = 3x + 6
Compare
mx = 3x
m = 3
The slope of the line segment EH is 3
Hence the statement that proves their relationship is that the slope of both lines are the same.
The slope of the lines is the same, the line segments FG and EH are parallel to each other and are the opposite sides of the quadrilateral.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is constant.
The slope of the line segment FG can be found by comparing the equation with the equation of the line. Therefore,
y = mx + c
-2 = 3x - y
- 2 - 3x = -y
y = 3x + 2
Thus, the slope of the equation is 3.
The slope of the line segment EH can be found by comparing the equation with the equation of the line. Therefore,
y = mx + c
3x - y = -6
-y = 6 - 3x
y = 3x+6
Thus, the slope of the equation is 3.
Since the slope of the lines is the same, the line segments FG and EH are parallel to each other and are the opposite sides of the quadrilateral.
Learn more about Equation of Line:
https://brainly.com/question/21511618
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In a class of 25 students, 14 have a brother and 17 have a sister. There are 5 students who do not have any siblings. What is the probability that a student who has a brother also has a sister?
Answer: 11
Students have both a brother and a sister
Step-by-step explanation:
I don't think probability should be used for this question because the answer is quite clear
So in a class of 25 students
5 students don't have a sibling
So 25-5=20
Total number of siblings=14+17=31 siblings in total
So 20 people have 31 siblings
31-20=11
So the answer should be 11
In a class of 25 students, 14 have a brother and 17 have a sister. There are 5 students who do not have any siblings. The probability that a student who has a brother also has a sister is 11/25.
How to calculate the probability of an event?Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]
where favorable cases are those elementary events that belong to E, and total cases are the size of the sample space.
In a class of 25 students, 14 have a brother and 17 have a sister. There are 5 students who do not have any siblings.
So in a class of 25 students
5 students don't have a sibling
then, 25-5=20
Total number of siblings = 14+17
= 31 siblings in total
So, 20 people have 31 siblings
= 31 - 20
= 11
So, the probability that a student who has a brother also has a sister
= 11/ 25.
Learn more about probability here:
brainly.com/question/1210781
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please help meee please
Answer:
The answer is Rad 169 or 13 .
Step-by-step explanation:
Hope it helps , good luck .
While shopping for clothes, Tracy spent $30 less than 3 times what Jaclyn spent. Tracy spent $24. Write and solve an equation to find how much Jaclyn spent. Let x represent how much Jaclyn spent.
Answer:
24*3-30=x
Step-by-step explanation:
Need help please due tommorw
Answer:
Solution (4,3)
Step-by-step explanation:
2x-7y= -13
(8x-7y=11)x-1
2x-7y= -13
-8x +7y= -11
[tex]\frac{-bx}{-6} =\frac{-24}{-6}[/tex]
x= 4
__________
2x-7y= -13
2(4)-7y=-13
8-7y= -13
subtract 8 from both sides
[tex]\frac{-7y}{-7} =\frac{-21}{-7}[/tex]
divide by -7
y= 3
hope it helps..
have a great day!!
You are using a math software program to make a pattern for a plastic part. You draw the pattern on a coordinate plane with units in millimeters and the bottom left corner as the origin. Write an equation for the circular hole.
Someone plz help me >_<
Answer: (x - 2) ^2 + (y - 6) ^2 = 25
Answer:
(x - 48)² + (y - 24)² = 64Step-by-step explanation:
From the graph we see that
The diameter of the circle is: d = 16 mmThen its radius is: r = 16 mm/ 2 = 8 mmThe center has x-coordinate: h = 40 + 8 = 48Y-coordinate: k = 32 - 8 = 24Use circle formula:
(x - h)² + (y - k)² = r²Substitute values to get required equation:
(x - 48)² + (y - 24)² = 8²(x - 48)² + (y - 24)² = 64
4.Find the length of the diagonal of a rectangle having dimensions 16 cm and 12 cm.
Answer:
20 cm
Step-by-step explanation:
So from the problem we get that the two sides of the rctangle are 16 cm 12 cm which are base perpendicular of the right angle triangle. H = 20 cm. So the diagonal of the rectangle = 20 cm.
Answer:
20 cm
Step-by-step explanation:
Here's your solution
=> length of rectangle = 16 cm
=> width of rectangle = 12 cm
=> Diagonal of rectangle = √(l^2 + w^2 )
=> Diagonal = √(16^2 + 12^2)
=> Diagonal = √(256 + 144)
=>. Diagonal = √400
=> Diagonal = 20 cm
hope it helps
What is 0.68 expressed an a fraction in simplest form with both the 6 and 8 repeating
Answer:
68/99
Step-by-step explanation:
NEED HELP ASAP!!!! trigonometric ratios !!!
Answer:
[tex]\displaystyle 47°[/tex]
Step-by-step explanation:
[tex]\displaystyle csc^{-1}\:1\frac{14}{39} = x; 47,379009047...° \\ \\ \boxed{47° \approx x}[/tex]
OR
[tex]\displaystyle sin^{-1}\:\frac{39}{53} = x; 47,379009047...° \\ \\ \boxed{47° \approx x}[/tex]
I am joyous to assist you at any time.
Melanie cuts a rectangle out of a piece of scrap paper as shown. She wants to calculate the angle measure of the piece that is left over. What is the measure in degrees?
Which graph represents the function y = 2/3x-2?
Answer:
Graph the line using the slope and y-intercept, or two points.
Which of the following is equivalent to 18 + 36? O A. 2(9 + 16) OB. 6(3 +12) O 2 C. 9(2+4) O D. 9(2+36)
Answer:
the answer is c
Step-by-step explanation:
i got this because distribution property where 9 by 2 is 18 and 9 by 4 is 36 which equals the same amount.
The Martinez family picked 3-4 lb of apples. Ana picked 1 of those apples.
How many pounds of apples did Ana pick
help i’m literally taking the test rn on here looking for the answer
the are of a kite is 126 cm² and the length of the diagonal is 14 cm,how long is the other diagonal?
Answer:
i think it's 9
Step-by-step explanation:
A=126cm÷by one diagonal 14
=9
Select all expressions that are equal to 3 1/4.
What answer is it.
26x1/8 2 1/8 ×2 4×13 1/4×3 13×1/4
Answer:
13×1/4
Step-by-step explanation:
turn into improper fraction
HELP ASAP
Which of the following statements about rotations are true? Select all that apply.
A.
The shape of the figure does not change.
B.
The position of the figure does not change.
C.
The size of the figure does not change.
D.
The orientation of the figure does not change.
E.
The coordinates of the figure do not change.