Answer:
90
Step-by-step explanation:
We know that area of ∆BCD = half of the area of rectangle BEFD, since any triangle drawn from taking a side and base and a point on the opposite side as the 3rd vertex has the half area of the rectangle
so, area of ∆BCD = 15×12/2 = 90 (since two legs of the right triangle are 15 and 12)
since area ∆BCD is half the area rectangle BEFD and sum of the area of ∆BEC and ∆CFD will be the rest of the area of rectangle BEFD, which is 90
The figure that will be formed if two 45° 45° 90° setsquares are put together is _________.
Please help!! I am literally in tears!!
Without graphing, explain how you know the equation
y = - 1/2x^2 - 7 will be compressed
(compared to the parent function of y=x^2).
Answer:
" because the coefficient of the x^2 term is less than 1 (between -1 and + 1)
y = x^2 looks like a big U with the vertex (bottom) "kissing" the origin (0,0)
if you add 1 to the equation y = x^2 + 1 it shifts UP one
if you subtract 3 y = x^2 -3 it shifts down three ....
if you change it to look like this y = (x+4)^2 it shifts (slides) to the LEFT 4 units..
note that this slide is opposite to the sign + 4 left slide , - 4 right slide...
NOW YOUR QUESTION !!!! if the coefficient is > 1
y = 99 x^2 then the graph gets "skinny" goes up faster...
if it is less than one (between -1 past 0 to +1 ) then it flattens out
Bottom line here your coefficient is a "-1/2"
so YOUR GRAPH IS A ∩ (goes downward) and is FLATTER than the normal ∪
I hope that this helps
Step-by-step explanation:
Sally ha estado midiendo una flor para un proyecto científico. La flor ha crecido \dfrac{1}{2} 2 1 start fraction, 1, divided by, 2, end fraction centímetro cada día y ha crecido un total de 222 centímetros desde que empezó a medirla.
Answer:
Step-by-step explanation:
ok bro la primera es
A cylindrical roller is 4m long. Its diameter is 1.4m. How many metres does it travel in 500 revolution?
Step-by-step explanation:
the answer is in the image above
Find the volume of a pyramid with a square base, where the area of the base is 12.5 ft ^2 12.5 ft
2
and the height of the pyramid is 16 ft. Round your answer to the nearest tenth of a cubic foot.
Answer:
833.3 ft^3
Step-by-step explanation:
The formula for the volume of a pyramid is:
V = (lwh)/3
V = volume
l = length of base
w = width of base
h = height of pyramid
Now we just correspond the values with the variables:
l = 12.5
w = 12.5
h = 16
And plug these values into the formula:
((12.5)(12.5)(16))/3
((156.25)(16))/3
2500/3
833.3 ft^3
Hope this helps (●'◡'●)
The solution is : the volume of a pyramid with a square base is 833.3 ft^3.
What is volume?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
here, we have,
we know that,
The formula for the volume of a pyramid is:
V = (lwh)/3
V = volume
l = length of base
w = width of base
h = height of pyramid
Now we just correspond the values with the variables:
l = 12.5
w = 12.5
h = 16
And plug these values into the formula:
=((12.5)(12.5)(16))/3
=((156.25)(16))/3
=2500/3
=833.3 ft^3
Hence, The solution is : the volume of a pyramid with a square base is 833.3 ft^3.
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what is the difference
Answer:
what is question of this you asked
what is the answer to this?
Answer:
x= -1, y = -1
Step-by-step explanation:
-16x +24y = -8
16x -8y = -8
16y = -16
y=-1
16x = -16
x = -1
Answer:
x = - 0.25 = - 1 / 4
y = 0.5 = 1 / 2
Step-by-step explanation:
4x + 6y = 2
Divide 2 on both sides,
2x + 3y = 1 ----> eq. 1
16x - 8y = - 8
Divide - 8 on both sides,
- 2x + y = 1 ----> eq. 2
Add eq. 1 and 2,
2x + 3y = 1
- 2x + y = 1
_________
0 + 4y = 2
4y = 2
y = 2 / 4
y = 1 / 2
y = 0.5
Substitute y = 0.5 in eq. 2,
- 2x + y = 1
- 2x + 0.5 = 1
- 2x = 1 - 0.5
- 2x = 0.5
x = 0.5 / - 2
x = - 0.25
Expand and Simplify
10a-(3a+7)
In a function, y varies inversely with x. The consistent of variation is 4. Which table could represent the function?
Answer:
none of the tables shown
Step-by-step explanation:
Inverse variation is
xy = k where k is the constant
xy = 4
in the top table
-2*2 = -4 so it cannot be the first table
In the middle table
-2 * -8 = 16 so it is not the middle table
In the bottom table
-2 *4 = -8 so it is not the bottom table
There must be a table not shown
An item on sale costs 80% of the original price. The original price was $41.
Answer:
$32.80
Step-by-step explanation:
So you are trying to find out how much does the sale price cost?
Ok convert $41 into a decimal
$41 = $0.41
Then multiply 80% x $0.41
80 x $0.41 = 32.80
Answer:
$32.8
Step-by-step explanation:
Solve using a proportion
if 100%= $41 and 80% = x, then you cross multiply, and you get 100x = 41 (80), which would become 100x = 3280. Then you divide by 100 on both sides to get 32.8, which would be your answer!
what is the solution to the equation below sqrt x+3 = x-3
A. 5
B. 6
C. 4
D. 3
Answer:
The value of x = 6
Step-by-step explanation:
Given:
√x + 3 = x - 3
Find:
The value of x
Computation:
Given expression
√x + 3 = x - 3
Squaring both side
(√x + 3)² = (x - 3)²
x + 3 = x² + 3² - (2)(x)(3)
x + 3 = x² + 9 - 6x
x² + 9 - 6x - x - 3 = 0
x² + 7 - 5x = 0
x² - (6 + 1)x + 6 = 0
x² - 6x - x + 6 = 0
x(x - 6) -1(x - 6) = 0
(x - 6)(x - 1) = 0
x = 6 and x = 1
The value of x = 6
PLEASE HELP!!
Compare the following data sets that can be modeled linearly.
Data Set A: (1,12), (2,74), (3,193), (4,89), (5,210), (6,143)
Data Set B: (1,203), (2,109), (3,76), (4,42), (5,59), (6,33)
Which data set has a better linear model? Why?
Select the option that correctly answers both questions.
A.) Data Set A, because its correlation coefficient is lower.
B.) Data Set A, because its correlation coefficient is closer to 1.
C.) Data Set B, because its correlation coefficient is higher.
D.) Data Set B, because its correlation coefficient is farther from 0.
Answer:Data Set B, because its correlation coefficient is farther from 0.
Step-by-step explanation:
I got it right soo <3
Solve the equation P=s+t+r for s.
Answer:
[tex]\huge\boxed{\boxed{s=P-t-r}}[/tex]
Step-by-step explanation:
[tex]P=s+t+r\qquad|\text{subtract}\ t\ \text{and}\ r\ \text{from both sides}\\\\P-t-r=s+t+r-t-r\\\\P-t-r=s\Rightarrow\boxed{s=P-t-r}[/tex]
The length of a rectangle is 3 times the width. The perimeter of the rectangle is 64 cm. Show the equation that would be used to find the dimensions of the rectangle.
Answer:
64 = 2(3x + x)
Step-by-step explanation:
Perimeter of the rectangle = 64 cm
Width of the rectangle = x
Length of the rectangle = 3x
Perimeter of a rectangle = 2(length + width)
The equation is
64 = 2(3x + x)
64 = 6x + 2x
64 = 8x
x = 64/8
x = 8 cm
Width of the rectangle = x = 8 cm
Length of the rectangle = 3x
= 3(8 cm)
= 24 cm
SOMEONE HELP ME PLEASE
Answer:
I D K u tell me
Step-by-step explanation:
this is what u answersed another he/she question repeating u
Answer:
SHEEESSHHHHHHHHHH
Step-by-step explanation: life goes around and around
The population of a town is 157,220 and is decreasing at a rate of 0.8% each year. Predict the population in 5 years (round to the nearest whole number).
Answer:
151,031
Step-by-step explanation:
If the population of a town is decreasing at 0.8% each year, the new population of the town will be [tex]100\%-0.8\%=99.2\%[/tex] of what it was last year. To find 99.2% of something, multiply it by 0.992. Therefore, we can write the following equation:
[tex]f(x)=157,220\cdot 0.992^x[/tex], where [tex]f(x)[/tex] is the population of the town [tex]x[/tex] years after the town had a population of 157,220.
Substitute [tex]x=5[/tex] into this equation to get the projected population after 5 years:
[tex]f(5)=157,220\cdot 0.992^5, \\f(5)=151031.019048,\\f(5)\approx \boxed{151,031}[/tex]
Therefore, in 5 years, the population should be 151,031.
What is the value of x that makes l1||12?
A. 11.3
B. 14
C. 22
D. 10
Answer:
[tex](8x - 14) + (2x + 54) = 180 \\ 8x + 2x - 14 + 54 = 180 \\ 10x - 14 + 54 = 180 \\ 10x + 40 = 180 \\ 10x = 180 - 40 \\ 10x = 140 \\ x = \frac{140}{10} \\ x = 14[/tex]
Review the data you collected for the angles in Question 2. Notice that ∠CFB is one of four angles formed by the two intersecting chords. What relationship do you observe that could help you determine the measure of any of the four angles created by two intersecting chords? Write the relationship as an equation.
Answer:
The measure of an angle created by two intersecting chords is half the sum of the measure of the intercepted arc and the measure of the arc vertically opposite to the angle. In this case, I can write m∠CFB = 1/2(m∠CAB + m∠EAD) because the measure of an intercepted arc is equal to the measure of its corresponding central angle.
Explanation:
sample answer from edmentum
Susie is paying $540.15 every month for her $150,000 mortgage. If this is a 30 year mortgage, how much interest will she pay over the 30 years of payments?
Answer:
17310.6
$540.15 multiply 30
because if they ask all in every month is 540.15
and she got 30 year
Susie will pay a total of $44,454 in interest over the 30 years of mortgage payments.
How to determine How much how much interest will she pay over the 30 years of paymentsTo determine the total interest Susie will pay over the 30 years of mortgage payments, we need to subtract the principal amount (the original loan amount) from the total amount she will pay over the 30 years.
First, let's calculate the total amount she will pay over the 30 years by multiplying her monthly payment by the number of months in 30 years:
Total amount paid = Monthly payment x Number of months
= $540.15 x (30 years x 12 months/year)
= $540.15 x 360
= $194,454
Next, we subtract the principal amount from the total amount paid to find the total interest paid:
Total interest paid = Total amount paid - Principal amount
= $194,454 - $150,000
= $44,454
Therefore, Susie will pay a total of $44,454 in interest over the 30 years of mortgage payments.
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Question 3
1 pts
Students from Mr. Caldwell's Spanish class are saving money for a summer
trip to Barcelona, Spain. Each student needs to raise $1,080 to be able to
attend the trip. This amount represents an increase of 12.5% over the cost of
the trip last year. How much did the trip to Barcelona cost last year?
O $850
$960
$1,215
$1,030
Answer:
$960
Step-by-step explanation:
Let the original amount be = x
Percentage increase is equal to = 12.5%
final amount = original amount + increase
final amount = x + 0.125x
final amount = 1.125x
final amount = 1080 = 1.125x
and then solve for x
[tex]x = \frac{1080}{1.125} \\ \\ x = 960[/tex]
so in the end x is equal to $960
Solve the equation: 1080 = 1.25x
in how many years will the interest of a sum of rs 3600 at the rate of 5.5% per year be rs 594?
Answer:
In 3 years, the interest of a sum of rs 3600 at the rate of 5.5% per year be Rs 594.
Step-by-step explanation:
T = ?
R = 5.5%
P = Rs 3600
I = Rs 594
so
T = (I×100)/(P×R)
or, T = (594×100)/(3600×5.5)
or, T = 59400/19800
so, T = 3 yrs
The price of an item changed from $175 to $150. Later, the price decreased to $125. Which of the two decreases was larger in percentage and how much is it?
Answer:
The second decrease is larger at 16 1/6% decrease
Step-by-step explanation:
175 to 150
Take the original price minus the new price divided by the original price
(175 -150) /175 =25/175 = 1/7 =.142857143 = 14.28 % decrease
150 to 125
Take the original price minus the new price divided by the original price
( 150-125)/150 = 25/150 = 1/6 =.16666 = 16 1/6 % decrease
The second decrease is larger at 16 1/6% decrease
Help urgent In a class of 35 students 15 of them have cats 16 have dogs 3 hangs none how many probability does have both
Answer:
9/25
Step-by-step explanation:
Number of student who has cat , dog = 25 - 3 = 22
Number of students who has cat and dogs = (15 + 16) - 22
= 31 - 22 = 9
Number of students who has only cats = 15 - 9 = 6
Number of students who has only dogs = 16 - 9 = 7
P(Cat & dog) = 9/25
Enter a recursive rule for the geometric sequence.
5, -10, 20, -40,...
a^1 = __; a^n = __
Answer
a^1=-2,5
a^n=a×a^n-1
The following data show the lengths of boats moored in a marina. The data are ordered from smallest to largest: 16; 17; 19; 20; 20; 21; 23; 24; 25; 25; 25; 26; 26; 27; 27; 27; 28; 29; 30; 32; 33; 33; 34; 35; 37; 39; 40. Calculate the mean, median and mode.
Answer: Mean = 27.33
Median = 27
Mode = 25 and 27
Step-by-step explanation:
1. Mean is the addition of all the numbers divided by how many numbers that are there.
Mean = (16 + 17 + 19 + 20 + 20 + 21 + 23 + 24 + 25 + 25 + 25 + 26 + 26 + 27 + 27 + 27 + 28 + 29 + 30 + 32 + 33 + 33 + 34 + 35 + 37 + 39 + 40) / 27
Mean = 738/27
Mean = 27.33
2. Median is the number in the middle in the ascending or descending other and this will be:
Median = 27/2 = 13.5 = 14th number = 27.
The median is 27.
3. Mode is the number that appears most and this will be 25 and 27 since they appear thrice which is the most times
-
Which is the solution to the inequality?
2
8
15
o b<2 113
o
b>2 1 1
o b<3 7
o b> 3 7
If F is conservative, find all potential functions f for F so that F = ∇f. (If F is not conservative, enter NOT CONSERVATIVE. Use C as an arbitrary constant.)
Answer: some parts of your question is missing below is the missing data
Determine if the given vector field F is conservative or not. F = −6e^y, (−6x + 3z + 9)e^y, 3e^y
answer:
F is conservative
F = -6xe^y + ( 33 + 9 ) e^y + C
Step-by-step explanation:
The Potential functions for F so that F = ∇f.
F = -6xe^y + ( 33 + 9 ) e^y + C
attached below is a detailed solution
An isosceles triangle has been constructed so that its height is half its base. Find the dimensions of the
triangle if the area is 64 m².
Answer: 4 8×8= 64 half the base which is 8 =4
Step-by-step explanation:
Answer:
height = 8 m
base = 16 m
Step-by-step explanation:
Let base = 2x m
So, height = half its base = [tex]\frac{2x}{2} = x \ m[/tex]
Area = 64 m²
[tex]\frac{1}{2}* \ base* \ height = 64\\\\\\\frac{1}{2}* 2x * x = 64[/tex]
x * x = 64
x * x = 8 * 8
x = 8 m
Base = 2x = 2*8 = 16 m
HALP ASAP, also im in or going into 7th grade it only goes from 10th to 100??
which makes know sence
please help me for this