Answer:
r=-11
Step-by-step explanation:
7r+2=5(r-4)
7r+2=5r-20
2r=-22
r=-11
What is the value of x in the figure below? In this diagram, ABD ~ CAD. Could somebody help me please? I don't entirely grasp the concept of this.
Answer:
E. [tex]\sqrt{39}[/tex]
Step-by-step explanation:
To find the value of x we can use Euclidian theorem
x^2 = 13x3
x^2 = 39 find the root of both sides
x = [tex]\sqrt{39}[/tex]
a handbag was purchased for Rs.280/- and sold for Rs.350/- calculate profit%
Answer:
profit is 25%
Step-by-step explanation:
profit%=sp-cp/cp×100%
=350-280/280×100%
=0.25×100
=25%
what is the answer to this
Answer:
Step-by-step explanation:
If f of x equals the quotient of the quantity x squared minus 36 and the quantity x plus 6 is continuous at x = -6, find f(-6).
Answer:
f(-6) = -12
Step-by-step explanation:
If you immediately plug in x=-6 and solve it (x^2-36)/x+6, you will not get the right answer.
You need to first expand the perfect square on the numerator (x^2-36) into (x-6)(x+6).
With the perfect square expanded, notice how you have the term (x+6) on both the numerator and denominator. You can cancel out both terms, and you will be left with (x-6).
Now you can plug in x=-6, which will give you -12.
In ⊙H, Arc I K ≅ Arc J K, mArc I K = (11x + 2)°, and mArc J K = (12x – 7)° What is the measure of Arc I J K?
Answer:
202°
Step-by-step explanation:
Arc I K ≅ Arc J K, Given that mArc I K = (11x + 2)°, and mArc J K = (12x – 7)°. SInce Arc I K ≅ Arc J K, then;
(11x + 2)° = (12x – 7)°
Collect the like terms
11x - 12x = -7 - 2
-x = -9
x = 9
Arc IJK = 11x+2 + 12x - 7
Arc IJK = 23x-5
Arc IJK = 23(9)-5
Arc IJK = 207-5
Arc IJK = 202°
Hence the measure of Arc IJK is 202°
Answer:
202
Step-by-step explanation:
I got it right
Given the function f(x)= (x+3)^2 determine the value of f^-1 (49) include a complete solution
Answer:
Step-by-step explanation:
taking the inverse is essentially saying
x = (f(x) + 3)^2
root(x) - 3 = f(x) and -root(x) -3 = f(x)
(you have to take both the positive and negative roots)
plug in 49 for x and get 4 and -10.
The value of the inverse function, to the function f(x) = (x + 3)², at f(x) = 49, is; f⁻¹(49) = 4
What does the inverse notation f⁻¹(x) represents?The notation f⁻¹(x) represents the inverse of the function f(x). The inverse function, f⁻¹(x) undoes the the effect of the function f(x), meaning, that if y = f(x), then x = f⁻¹(y)
The value of f⁻¹(49) for the function, f(x) = (x + 3)² is the x-value, such that f(x) = 49, which can be obtained by solving the equation f(x) = (x + 3)², for x as follows;
Taking the square root of both sides of the equation, we get;
√(f(x)) = √((x + 3)²)
√(f(x)) = (x + 3)
Subtracting 3 from both sides, we get;
√(f(x)) - 3 = x + 3 - 3 = x
√(f(x)) - 3 = x
The above function is the inverse function, f⁻¹(x) that takes an output value, f(x), to produce the corresponding input value, x of the original function;
The inverse function, f⁻¹(x) = √(f(x)) - 3, takes the original output, f(x) to produce the original input x
When the output value is f(x) = 49 we get;
f⁻¹(49) = √(49) - 3 = ±7 - 3
Restricting the domain of the original function, f(x) to (x + 3) ≥ 0, or x ≥ -3, so that its inverse is also a function and produces only one value, we get;
f⁻¹(49) = 7 - 3 = 4
f⁻¹(49) = 4
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What are the values of x and y? A) X= 9/2; y = 9 B) x = 1843 ; y= 983 C) x= 9; y = 983 OD) x= 913 ; y=9
Answer:
Y = 9
Cause the Sin30 = 0.5
and 9² + x² = 18²
324 - 81 = x²
x² = 243
x = 9 √3
The answer becomes "D"
Find the midpoint of the segment between the points (15,−17) and (−8,−8)
please help its due soon!!
Julie has 5.00 and wants to buy some glue at Walmart glue cost 4.25 how much will julie get back in change and you have to subtract a d slove problem
Answer:
read below vv
Step-by-step explanation:
d = 5.00 - 4.25
d = 0.75
Answer:
Julie will get back 0.75 in change.
Step-by-step explanation:
d=4.25
5.00-d => 5.00-4.25 = 0.75
Hope this answered your question!
5x
If f(x) = 5x and g(x)= 5x/3, find f(x) divided by g(x).
A. 1/3
B. 3
C. 3/25x^2
D. 25x^2/3
i think its b Step-by-step explanation:
[tex] \frac{5x}{ \frac{5x}{3} } = \frac{15x}{5x} = 3[/tex]
Instructions: Find the missing side. Round your answer to the nearest
tenth.
58°
х
22
X=
Answer:
35.2
Step-by-step explanation:
tan(58) = x/22
or, x = 22×tan(58)
or, x = 35.2 (rounded to the nearest tenth)
Answered by GAUTHMATH
could you tell me how
to do pls
Answer:
f) 60+x+30=180°
90+x=180°
x=180-90
x=90°
g) y+35+75=180°
y+110=180
y=180-110
y=70°
If I had to write 2 pages a day, how long would it take me to write 300 pages?
Time required for writing 2 pages = 1 day
So, time required for writing 1 pages
= 1 day/2
= ½ day
So, time required for writing 300 pages
= ½ day × 300
= (300/2) days
= 150 days
Answer:
150 days
Step-by-step explanation:
We can write a ratio to solve
2 pages 300 pages
----------- = ------------
1 day x days
Using cross products
2x = 300
Divide by 2
2x/2 = 300/2
x = 150
150 days
The measure of two complementary angles are 2x degree and 3x degree, then value of x is
Answer:
2x+3x=90
or ,5x=90
or,x=90/5
X=18
Answer:
90/5=18 degrees
Step-by-step explanation:
What types of concurrent constructions are needed to find the orthocenter of a triangle?
A. intersection of the lines drawn perpendicular to each side of the triangle through its midpoint
B. intersection of the lines drawn from each vertex of the triangle and perpendicular to its opposite side
C. intersection of the lines drawn to the midpoint of each side of the triangle to its opposite vertex
D. intersection of the lines drawn to bisect each vertex of the triangle
Answer:
B. Intersection of the lines drawn from each vertex of the triangle and perpendicular to its opposite side
Step-by-step explanation:
The orthocenter of a triangle is the point of concurrency of the three altitudes or extensions of the the altitudes of a triangle, each of which are perpendicular lines drawn from a vertex of the triangle to the side opposite the vertex
The type of concurrent construction needed to find the orthocenter of a triangle is the point of intersection of the perpendicular lines drawn from each vertex of the triangle, to the side opposite the vertex
Therefore, the correct option is option B. intersection of the lines drawn from each vertex of the triangle and perpendicular to its opposite side.
Maeve can paint a room in 3 hours, and Maura can paint an identical room in 5 hours. How many hours would it take both of them to paint 1 room if they work together at their respective rates?
Answer:
1.875 hours
Step-by-step explanation:
1/a + 1/b = 1/c where a and b are the times alone and c is the time together
1/3 + 1/5 = 1/c
Multiply by 15c to clear the fractions
15c(1/3 + 1/5 = 1/c)
5c+3c = 15
8c = 15
Divide by 8
8c/8 = 15/8
c = 1.875 hours
The ratio of yellow roses to red roses in a garden is 47 to 96. Express this ratio in
two different ways.
OM) 47:96; 96/47
B) 47:96; 47/96
OC) 96/47; 96:47
D) 47/96
196; 96:47
what is the volume if the radius is 7m and the height is 9m.
pls pls pls help and give the actual answer quickly
Answer:
(Sqrt 3)/2 (5^2) (10) =216.51 in^3
Step-by-step explanation:
Grade improvement and study motivation
Step-by-step explanation:
fng-mrxb-dop p.l.e.a.s.e join
Find the mean of first 5 prime numbers.
Answer:
5.6
Step-by-step explanation:
First five prime numbers:
[tex]2,3,5,7,11[/tex]
Add them up:
[tex]2+3+5+7+11=28[/tex]
Calculate the mean:
[tex]\frac{28}{5} =5.6[/tex]
Answer:
8.5
Step-by-step explanation:
We need to find the mean of first five prime numbers . We know that the first five prime numbers are ,
[tex]\sf\longrightarrow First \ 5 \ Prime\ numbers \ = 2, 3, 5 ,7,11 [/tex]
We know that mean is ,
[tex]\sf\longrightarrow Mean =\dfrac{Sum \ of \ observations}{Number\ of\ observations } [/tex]
Substitute the respective values ,
[tex]\sf\longrightarrow Mean =\dfrac{ 2+3+5+7}{2}[/tex]
Add the numbers in numerator ,
[tex]\sf\longrightarrow Mean =\dfrac{ 17}{2} [/tex]
Divide ,
[tex]\sf\longrightarrow\boxed{\blue{\sf Mean = 8.5 }} [/tex]
Hence the mean is 8.5
David’s mother gave him $200.00 to buy some carrots at the Blue Market. She will be using the carrots to make juice for her church barbecue on Friday. At the market, David finds two vendors selling carrots. Vendor A has carrots for $40.00 per kilogram, and Vendor B has larger carrots for $50.00 per kilogram. Question: A. From which vendor should David buy the carrots? B. Explain why you have chosen that vendor
Answer:
Assuming that the quality (large vs. small) is the same, and PRICE is the main considerations... The $40 would be a better deal....
This reminds me of the old classic joke (told to me way back when , when I was 5 years old)... Which weighs more a ton of bricks, or a ton of feathers.....
I have to be honest being a five tear old the answer confused me, but I finally
figured it out... THEY BOTH WEIGH THE SAME AMOUNT !!!
Step-by-step explanation:
Mk
From which vendor should David buy the carrotIn the diagram below, if the measure of < C = 45°, and side AB = 16, then side AC =
Select one:
a. 8
b. 32
c. 16/2
d. 16
Answer:
C
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{16}{AC}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
AC = 16[tex]\sqrt{2}[/tex] → C
The measure of the side of a triangle AC is [tex]16\sqrt{2}[/tex] cm.
Given that, ∠45° and AB=16 cm.
We need to find the measure of side AC.
How do use trigonometric ratios to find the measure of the sides of a triangle?There are three steps:
Choose which trigonometric ratio to use. Choose either sin, cos, or tan by determining which side you know and which side you are looking for.Substitute your information into the trigonometric ratio.Solve the resulting equation to find the length of the side.Now, [tex]sin \ C=\frac{AB}{AC}[/tex] (∵ sinα=Opposite/Hypotenuse)
[tex]sin 45^{o} =\frac{16}{AC} \\[/tex]
[tex]\implies \frac{1}{\sqrt{2} } =\frac{16}{AC}[/tex]
[tex]\implies AC=16\sqrt{2}[/tex] cm
Therefore, the measure of the side of a triangle AC is [tex]16\sqrt{2}[/tex] cm.
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I need help asap I’m overtime
Answer:
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Do Now
a) Write the following expression in word form:
2 (x+8)
Answer:
X plus 8. Multiplied by 2
Step-by-step explanation:
You would follow PEMDAS
Hope this helps. :)
If I'm wrong please correct me.
Answer: Two times the sum of a number and eight.
Explanation: The x+8 portion translates to "the sum of a number and eight". Then we just stick "two times" in front of all that to basically say 2 times (x+8).
please help !!!
12. JKL = ONM by SAS. Select one set of corresponding parts that could be marked congruent by CPCTC.
Answer:
D
Step-by-step explanation:
The statement of congruency shows which vertices are corresponding.
Answer: D
m 2 = aº, m 3 = bº, m 41
a
b
a + b
a-b
Answer:
m,4+ a+b
Step-by-step explanation:
an exterior angle equals the sum of the 2 opposite interior angles
Pam and Amanda and Mike work at different clothing stores. Amanda made twice what Pam earned and Julie
made $90 more than Amanda. If their total earnings for a week are $995, how much did each person make?
Answer:
Pam: $181
Amanda: $362
Julie: $452
Step-by-step explanation:
(What does Mike have to do with this problem?)
Let a = Amanda's pay
Let p = Pam's pay
Let j = Julie's pay
"Amanda made twice what Pam earned"
a = 2p
"Julie made $90 more than Amanda"
j = a + 90
j = 2p + 90
Pam earned p
Total salary
a + p + j = 2p + p + 2p + 90
Total salary
$995
2p + p + 2p + 90 = 995
5p = 905
p = 181
a = 2p = 2(181) = 362
j = 2p + 90 = 362 + 90 = 452
Answer:
Pam: $181
Amanda: $362
Julie: $452
2. A pack of 7 rolls of tape sells for $2.73. If the tape is sold individually at the
same rate, how much would 3 rolls cost?
$1.56
$1.17
$0.78
$0.39
3 rolls would cost $1.17.
What is Concept of Direct Proportion?There exists a direct proportion between two values when one exists as a multiple of the other.
In direct proportion, if one quantity exists increased or decreased then the other quantity increases or declines, respectively. But in indirect or inverse proportion, if one quantity increases then the different quantity decreases and vice-versa.
If 7 rolls of tape cost $2.73,
Then 1 roll of tape would cost $2.73/7 = $0.39
Now, the cost of 3 roll of tapes would be 0.39*3 = $1.17
Therefore, at same rate the 3 rolls of tape would cost $1.17.
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The number - 7/5 is ___ than- 1 1/5 because -7/5 lies___ 5-1 /1 on a vertical number line
first question answers grater or less
second question answers greater or less
The number - 7/5 is LESS than -1 1/5
because -7/5 lies GREATER 5-1 /1 on a vertical number line.