Answer:
75
Step-by-step explanation:
If the area of ABCD is equal to 45, then the perimeter of EFG is equal to x * 1.5 = 45. 45 / 1.5 = 30, so the perimeter of EFG is equal to 30. This means that each side is equal to 10.
The height of the equilateral triangle EFG creates two 30-60-90 triangles, each with a hypotenuse of 10 and a short side equal to 5. We know that the long side of the 30-60-90 triangle (here the height of EFG) is equal to √3 times the short side, or 5√3.
We then apply the formula for the area of a triangle, which is 1/2 * b * h. We get 1/2 * 10 * 5√3 = 5 * 5√3 = 25√3.
In general, the height of an equilateral triangle is equal to √3 / 2 times a side of the equilateral triangle. The area of an equilateral triangle is equal to 1/2 * √3s/ 2 * s = √3s2/4.
Solve the problem.
The area of a square is 81 square centimeters. If the same amount is added to one dimension and removed from the other, the resulting
rectangle has an area 9 square centimeters less than the area of the square. How much is added and subtracted?
A. 3cm
B. 9cm
C. 12 cm
D. 4cm
Answer:
c
Step-by-step explanation:
shown below are the statements and reasons to the proof. they are not in correct order. which of these is the most logical order for the statements
Answer:
Answer is B
Step-by-step explanation:
I just did it.
Answer:
b
Step-by-step explanation:
I know because of the kid above this
if 15 citizens are chosen, what is the probability that 10 of them are favoring the substation
Answer:
10/15
Step-by-step explanation:
The probability is 10/15 or 67% chance
HELPPPPPPP PLEASEEEEE WILL GIVE BRAINLEST
a. 5
b. 7
c. 9
d. 11
PLEASE HELPPP I WILL GIVE BRILLIANT!!!
Answer:
B : 7
Step-by-step explanation:
Is this right?
Plz
rrrrrrrrrrrrrrrrrrr
Answer:
A=706.5 ft^2
Step-by-step explanation:
Area of circle: π r^2
r=radius
In this case, r=15
So,
A=3.14(15^2)
A=3.14*225
A=706.5 ft^2
The value of an autographed baseball card increased from $39 to $65 what is the percent increase in value of the baseball card?
:
The percent increase is found by finding the difference between the two prices and then dividing that different by the beginning price.
For this example it would be 65-39= $26. So $26/$39(the starting price) is 0.666... This is equivalent to about 66.67%. So, the price of the card increased by about 66.67%
Answer:
66.7%
Step-by-step explanation:
the value increased by 26
percentage increase =increase /initial value ×100
=26/39×100=66.7%
Is this correct? Pls help me
Answer:
I Belive so
Step-by-step explanation:
Circle P has a circumference of approximately 75
inches.
What is the approximate length of the radius, r? Use 3.14
for y. Round to the nearest inch,
12 inches
D24 inches
38 inches
46 inches
Answer:
12 in
Step-by-step explanation:
C=2pi *r
75/2(3.14)=r
r=75/6.28
~11.94~12 inches
if my answer helps please mark as brainliest
Answer:
12 in
Step-by-step explanation:
Circumference:
C = 2πr
75 = 2(3.14)r
75 = 6.28r
r = 75/6.28
r = 11.95 ≈ 12
b. 13(y−10)=−4
1
3
(
y
-
10
)
=
-
4
y =
Does anyone know the answer?
Answer:
1 is the answer
What is 5.5 divided by 1.68
WITH STEP BY STEP EXPLANATION
Find the missing value that makes the equation true. 15 + 30 = (3 + 6)
please answer asap! no scam links or scam comments or reported.
Answer:
B
Step-by-step explanation:
The area of the figure is Square units.
Answer:
8
Step-by-step explanation:
Math
I need help with this question
Answer:
14x+4 = 4x+44
14x - 4x = 44 - 4
10x = 40 ...... x = 4
《60°》.....
5y = 120
y = 120/5 => y = 24
ON Answe
a. Without using mathematical table or calculator, simplify.
1271
Answer:
Step-by-step explanation:
1271 = 31 *41
31 and 41 are prime number.
Find the value of x.
Answer:
Not exactly sure if this is right.
I am pretty sure that 10 and x-3 are like congruent angles.
So x - 3 = 10
Add 3 to both sides.
x = 13.
Hope this helps!
In Prof. Leahy's class, if a student does homework most days, the chance of passing the course is 90%. On the other hand, if a student does not do homework most days, the chance of passing the course is only 30%. Prof. Leahy claims that 70% of his students do homework on a regular basis. If a student is chosen at random from Prof. Leahy's class, find the following probabilities:
a. p(the student did not do homework and he/she passed the course)
b. p(the student did not do homework given that she/he passed the course)
Answer:
a) p(the student did not do homework and he/she passed the course) = 0.09
b) p(the student did not do homework given that she/he passed the course) = 0.125.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
a. p(the student did not do homework and he/she passed the course)
If a student does not do homework most days, the chance of passing the course is only 30%. 100 - 70 = 30% don't do homework on a regular basis.
So
0.3*0.3 = 0.09
p(the student did not do homework and he/she passed the course) = 0.09
b. p(the student did not do homework given that she/he passed the course)
Conditional probability.
Event A: Passed the course
Event B: Did not do homework.
p(the student did not do homework and he/she passed the course) = 0.09
This means that [tex]P(A \cap B) = 0.09[/tex]
Probability that the student passes the course:
90% of 70%(do homework)
30% of 30%(do not do homework).
This means that:
[tex]P(A) = 0.9*0.7 + 0.3*0.3 = 0.72[/tex]
p(the student did not do homework given that she/he passed the course)
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.09}{0.72} = 0.125[/tex]
So
p(the student did not do homework given that she/he passed the course) = 0.125.
List all possible outcomes.
Consider the equation below.
Determine which equation has the same solutions as the given equation.
Answer:
B, (x-5) square =21
Step-by-step explanation:
B, (x-5)square =21
A 5-pound bag of sugar costs $3.90. What is the unit rate?
A company that manufactuers small canoes has a fixed cost of $14,000. It cost $40 to produce each canoe. The selling price is $80 per canoe
Answer:
The company manufactures about 350 canoes, obtaining $ 28,000 after selling them all.
Step-by-step explanation:
Given that a company that manufactures small canoes has a fixed cost of $ 14,000, and it cost $ 40 to produce each canoe while the selling price is $ 80 per canoe, to determine the number of canoes that the company produces and the amount of money it makes after selling them, the following calculation must be carried out:
14/000 / 40 = X
350 = X
350 x 80 = 28,000
Thus, the company manufactures about 350 canoes, obtaining $ 28,000 after selling them all.
Find the area of this triangle. Round to the nearest whole number.
Answer:
[tex]35 cm^{2}[/tex]
Step-by-step explanation:
5 x 14 divided by 2 = 35
What are vertical angles? If ZA and ZB are vertical angles, what is true about their
measures?
Answer:
45 i think
Step-by-step explanation:
[tex]\huge{ \mathbf{ \underline{ Answer }\: \: ✓ }}[/tex]
Vertical Angles are pair of two angles opposite to each other formed by two lines intersecting each other. And they have equal measures.
So, if [tex]\angle A[/tex]\angle B[tex][/tex] are vertical angles then they have equal measures .
[tex] \large\boxed{ \angle A = \angle B}[/tex]
_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
PLZ HELP i rlly need it i am not good a t algebra
Evaluate the following expressions when x = 5. Show your work.
Hint: Remember to use BEDMAS
My question: 2x+3
Answer:
13
Step-by-step explanation:
substitute the five into the equation. :)
Which table shows ordered pairs that satisfy the function y = x + 1?
А
X
12
0
2
- 4
1
4
B
-2
0
2
5
0
5
С
X
y
5
-2
0
2.
1
5
D
x
y
-24
0 2
2 4
Answer:
Knowledge Check The table of ordered pairs (x, y) gives an exponential function. Write an equation for the function. x y -1 6 0 12 1 1 24 2. 48 88 O х ? I Don't ...
Step-by-step explanation:
It is believed that GPA (grade point average, based on a four point scale) should have a positive linear relationship with ACT scores. The Excel output from regressing GPA on ACT scores using a data set of 8 randomly chosen students from a Big Ten university gives R Square = 0.5774 The interpretation of the coefficient of determination in this regression is that
Options :
B) ACT scores account for 57.74% of the total fluctuation in GPA.
B) ACT scores account for 57.74% of the total fluctuation in GPA.
C) GPA accounts for 57.74% of the variability of ACT scores.
D) None of the above.
Answer:
B) ACT scores account for 57.74% of the total fluctuation in GPA.
Step-by-step explanation:
The R-squared value, called the Coefficient of determination gives the percentage or proportion of variation in the dependent variable which is due to or caused by the independent variable.
In the study above, the independent variable is the ACT score, is used to draw a regression relationship between the GPA of students, with GPA being the dependent variable.
The R² :value being 0.5774 means that (0.5774 * 100%) = 57. 74 % of variation in students GPA is caused by the regression line (independent variable which is the ACT SCORE).
HENCE, we can conclude that ACT Score is responsible of 57. 74 % variation in GPA while the remaining percentage is due to other factors.
SOMEONE PLEASE HELP ME ASAP IM SO TIRED PLEASE JUST HELP ME ON THIS ONE QUESTION AND EXPLAIN YOUR ANSWER GOD
In 1985 an antique automobile club had 23,000 members. Since then its membership has grown at an average rate of 5% per year. Assuming this trend continues, how many members will there be in 2020? Round to the nearest thousand.
a) 112,000 members
b) 78,000 members
c) 151,000 members
d) 127,000 members
Please someone help me with this!!!
Find the indicated term of the given geometric sequence.
a1 = 11, r = 3.4, n = 7
Answer: a = 1, 1r = 3, 0.4n = 7
Step-by-step explanation:
r= 3, 0.4n = 7, a1 = 1 : a = 1, n = 35/2, r = 3