Answer:
let the remaining sides be X and Y
perimeter = X + Y + 13
24 = X + Y + 13
11 = X + Y ---(1).
Area = 1/2 * base * height
24 = 1/2 * X * Y
XY = 48.-----(2)
solving eq 1 and 2
X + Y = 11
XY = 48
Xy + y² = 11y
Xy = 48
y²= 11y - 48
y² -11y + 48 = 0
no real solution of this equation.
Answer:
Step-by-step explanation:
the triangle is NOT a 3–4–5 or multiple,
so it is not a right triangle or your data is wrong.
what does X equal to in this equation
Answer:
17
Step-by-step explanation:
5x+5x+10=180
10x=170
x=17
Answer:
Answer is 17
Step-by-step explanation:
It is done in this step
5x +5x+10=180
10x=170
x=17
The events "male” and "buys lunch” are not independent because
P(buys lunch | male) = P(male) = 0.4.
P(male | buys lunch) = P(male) = 0.3.
P(buys lunch | male) = 0.3 and P(male) = 0.4.
P(male | buys lunch) = 0.4 and P(male) = 0.3.
The events "male” and "buys lunch” are not independent because P(male | buys lunch) = 0.4 and P(male) = 0.3.
Complete questionJames surveyed people at school and asked whether they bring their lunch to school or buy their lunch at school more often. The results are shown below.
Bring lunch: 46 males, 254 females
Buy lunch: 176 males, 264 females
The events "male" and "buys lunch" are not independent because
How to determine the probability?The number of male students is:
Male = 46 + 176
Male = 222
The number of female students is:
Female = 254 + 264
Female = 518
The total student is:
Total = 222 + 518
Total = 740
Next, calculate the probability of selecting a male student
P(Male) = 222/740
P(Male) = 0.3
Of all the 440 that buy lunch, 176 are male,
So, we have:
P(male | buy lunch) = 176 / 440
P(male | buy lunch) = 0.4
Because
P(male | buy lunch) and P(male) are not equal.
Then, the events "male” and "buys lunch” are not independent
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The composite figure is made up of a parallelogram and a rectangle. Find the
area. (choices in picture)
Answer:
88 sq. units
Step-by-step explanation:
1st. BxH
12-4 = 8 is our Base
8x8=64 that is out 1st area
and 2nd area is LxW which is 12x2 = 24
64+24= 88 sq. units
Which two numbers does √√61 lie between on a number line? O 7.7 and 7.8 O 7.8 and 7.9 O 7.9 and 8.0 Stm O 8.0 and Which two numbers does √√61 lie between on a number line ? O 7.7 and 7.8 O 7.8 and 7.9 O 7.9 and 8.0 Stm O 8.0 and 8.1
Answer:
B) 7.8 and 7.9
Step-by-step explanation:
Taking the square root of 61, we can conclude that the decimal form is 7.810, which falls between the range of 7.8 and 7.9
Answer:
√61 lie between 7.8 and 7.9
which equation represents the line through (4,5) and (0,-3)
A. y = 2x + 3
B. y = 2x - 3
C. y = -2x - 3
D. y = -2x + 3
The linear equation that represents the line that passes through the points (4,5) and (0,-3) is given by:
B. y = 2x - 3
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.The line passes through (0,-3), that is, when x = 0, y = -3, hence the y-intercept is of b = -3.
The slope is given by the change in y divided by the change in x, hence:
m = (5 - (-3))/(4 - 0) = 2
Hence the equation is:
y = 2x - 3.
Which means that option B is correct.
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Suzanna’s doctor told her to lose 9 kg, which was 10% of her body weight.
a) How much did Suzanna weigh?
b) If Suzanna lost 12% of her body weight, what is her new weight?
(a) 10% of x = 9
x = 9 ⋅ (100/10)
x = 90 kg
(b) 12% of x = 12/100 of 90
Weight she lost = 10.8
Her new weight = 90 - 10.8
= 79.2kg
You have a dog walking business. You charge based on the weight of the dogs. For a 45-minute walk your prices are:
For dogs that weight 0 up to 15 lbs. you charge $5.00.
For dogs between 15 lbs. and 45 lbs. you charge $7.00
Dogs over 45 lbs. you charge $9.00.
Answer the following questions:
1. If a customer has a 6 pound Chihuahua how much would you charge?
2. If a customer has a 65 pound Labrador how much would you charge?
3. Define the variables:
4. Write a piecewise function for dog walking business, including the conditional statement for the variables.
5. Graph the function.
PLEASE ANSWER ALL FIVE PLEASEEAAAA
What is the measure of x?
16
x=[?]
Give your answer in simplest form.
Answer: [tex]8\sqrt{5}[/tex]
Step-by-step explanation:
By the geometric mean theorem,
[tex]\frac{y}{16}=\frac{4}{y}\\\\y^{2}=64\\\\y=8[/tex]
Thus, by the Pythagorean thoerem,
[tex]8^2 +16^2=x^2\\\\320=x^2\\\\x=\boxed{8\sqrt{5}}[/tex]
pls help
B (20,25) (12,9)
C (150,125) (96,64)
D ( 25, 150) (16,96) (9,54)
E (5,125) (4,64)
Answer:
Side Length and Perimeter of One Face
Step-by-step explanation:
See attached image.
Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of pi (no approximations)
Answer:
A = 27π cm²
Step-by-step explanation:
the area (A) of the sector is calculated as
A = area of circle × fraction of circle
the central angle of the shaded sector = 360° - 90° = 270° , then
A = πr² × [tex]\frac{270}{360}[/tex]
= π × 6² × [tex]\frac{3}{4}[/tex]
= 36π × [tex]\frac{3}{4}[/tex]
= 9π × 3
= 27π cm²
Determine the relationship between the two triangles and whether or not they
can be
proven to be congruent.
Answer: These ARE congruent to each other.
Step-by-step explanation: Do you see the ''tick marks?'' They both have 1 set of 2, and 1 set of 1. If that makes sense. They also have a "angle" in one of their acute angles.
What is the value for y?
Enter your answer in the box.
Answer:
angle A=angleB .…(समदिबाहु त्रिभुज भएर)
34°=(x-5)°
or, 34=34
angleA+angleB+angleC=180°
or, 34+34+4y=180
or, 68+4y=180
or, 4y=180-68
or, 4y=112
or, y=112÷4
or, y=28
What are the domain and range of the function
(5+4) +10=5+(4+10)
A. True
B. False
Answer:
A. True
Step-by-step explanation:
One of the ways to check this is solving each side of the equation.
(5+4)+10=5+(4+10)
Remember PEMDAS.
Parenthesis first.
(9)+10=5+(14)
Now, you can drop the parenthesis and add the numbers together.
9+10=19
5+14=19
19=19
This is a true statement.
Hope this helps!
If not, I am sorry.
Hi! Hope you're having a good day. So, there's a problem I had gotten wrong while I was preparing for the ACT, however, I didn't know how to answer the question to begin with. Can someone give me a step-by-step explanation on how this problem is solved correctly? (Picture included). Inside of the picture I included the answer I chose and the correct answer, could you also explain what I had done wrong? I used the FOIL method, but now I think that was incorrect to begin with. I also reattempted to do what I had done before, but each time I get a different answer, if you can help that'd be fantastic! :)
Answer:
[tex]3a^2+12a+12[/tex]
Step-by-step explanation:
first, you have to plug in x = a+2 into the function, which would look like:
[tex]f(a+2) =3(a+2)^2[/tex]
then, you can first simplify [tex](a+2)^2[/tex]. to do this, use the rule [tex](a+b)^2 = a^2 +2ab + b^2[/tex], so it would be [tex]a^2+(2*a*2)+2^2 = a^2 + 4a + 4[/tex]
this means your new equation is:
[tex]3(a^2+4a+4)[/tex]
you can then distribute the 3:
[tex]3*a^2+3*4a + 3*4 = 3a^2+12a+12[/tex]
let me know if there's anything you want me to clarify!
the lines shown are parrallel. if the green line has a slope of 5, what is the slope of the red line
Answer:
if a line is parallel they have the same slope
so the slope is 5
Hope This Helps!!!
* GEOMETRY
please help me show the work for number 15!!
Answer: (-2, -4)
Step-by-step explanation:
The translation that maps point A onto point B must also map point D onto point C.
Point A maps onto point B after a translation 8 units right and 6 units up, so point C maps onto point D after a translation 8 units left and 6 units down.
Thus, D has coordinates (-2, -4)
Solve for x: √x + 3-4=7
Answer:
x = 64
Step-by-step explanation:
Solve for x: √x + 3-4=7
√x + 3-4=7
= √x + 1 = 7
= √x = 7 + 1
= √x = 8
= (√x)² = 8²
x = 64
A line segment has endpoints Q(-16, -12) and R(21, -8).
What is the midpoint of the line segment?
02¹-201
Answer:
(2.5, - 10 )
Step-by-step explanation:
given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
here (x₁, y₁ ) = (- 16, - 12 ) and (x₂, y₂ ) = (21, - 8 ) , then
midpoint = ( [tex]\frac{-16+21}{2}[/tex] , [tex]\frac{-12-8}{2}[/tex] ) = ( [tex]\frac{5}{2}[/tex], [tex]\frac{-20}{2}[/tex] ) = (2.5, - 10 )
Answer: c - (2 1/2 - 10)
Step-by-step explanation:
If you can help with this I would be thankful
The inverse of the function will be [tex]f(x) ^{-1}= 2x - 12\\[/tex]. option C is correct.
What is the inverse of a function?Suppose that the given function is
[tex]f:X\rightarrow Y[/tex]
Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist),
then, the inverse of the considered function is
[tex]f^{-1}: Y \rightarrow X[/tex]
The function is given as
[tex]f(x) = \dfrac{1}{2} x - 6\\\\[/tex]
The inverse of the function will be
[tex]f(x) ^{-1}= 2x - 12\\[/tex]
Therefore, option C is correct.
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probability of hitting the shaded area
The probability of hitting the shaded area is 0.64
How to determine the probability?The diameters are given as:
D = 10
d = 6
The shaded area is calculated as:
Shaded = π((D/2)² - (d/2)²)
So, we have:
Shaded = π((10/2)² - (6/2)²)
Evaluate the exponents
Shaded = 16π
The area of the big circle is calculated as:
Area = π(D/2)²
So, we have:
Area = π(10/2)²
Evaluate the exponents
Area = 25π
The probability of hitting the shaded area is:
P = 16π/25π
Evaluate
P = 0.64
Hence, the probability of hitting the shaded area is 0.64
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Linda purchased a birthday gift from Bed Bath and Beyond for her mother. After applying the
coupon below Linda received a $12.25 discount off her purchase. What was the price of the
gift before and after the discount?
PLS HELP SOLVE !!!
Answer:
Before discount = $61.25
After discount = $49.00
Step-by-step explanation:
Given information:
Discount = $12.25Coupon = 20%The price of the gift before the discount is 100%.
If the $12.25 discount was 20% of the purchase price, then:
⇒ original price (before discount) = (12.25 / 20) × 100 = $61.25
To find the price after the discount, simply subtract the discount from the found original price:
⇒ $61.25 - $12.25 = $49.00
Conclusion
Before discount price = $61.25After discount price = $49.00The surface area of the triangular prism is
.
Answer:
576 m
__________________________________________________________ The surface area of the triangular prism is (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh
For this question,
you know that the perimeter of the base is 6+10+8 which is 24.
and the length of the prism is 22,
so (22x24) + Base Area which is (6x8)/2-> 24x2
(22x24)+(24x2)= 528 + 48 = 576
so your answer is 576
__________________________________________________________
Hope this helped!
i'm confused
Find the value of x.
A. 5
B. 31
C. 25
D. 11
Answer:
D. 11
Step-by-step explanation:
Take the two horizontal line measurements and subtract them.
13-9=4
That is how much it changed between these two numbers. Since x is exactly halfway between, simply divide 4 and 2.
4/2=2
Now, add that to 9 or subtract it from 13.
9+2=11
or
13-2=11.
Hope this helps!
If not, I am sorry.
Answer:
D. 11
Step-by-step explanation:
Since segment AC bisects segments ED and BF, the length of AC is the average of the lengths of EB and DF.
AC = x = (EB + DF)/2 = (9 + 13)/2 = 22/2 = 11
Answer: D. 11
Find the value of x in each case:
x = 90°
2x = 180°
Step-by-step explanation:
angle VTS= angle TSR (alternate angle)
now in ∆TRS,
2x + x + x = 360° (angle sum property of ∆)
4x = 360°
x = 90°
Question 1(Multiple Choice Worth 4 points)
(02.02) The figure shows the letter Z and four of its transformed images-A, B, C, and D:
Z.
B
6-
5-
3-
2-
n
The figure that shows the reflection of the letter Z is C
Complete questionThe figure shows the letter Z and four of its transformed images—A, B, C, and D
Which of the four images was formed by a reflection of the letter Z?
A B C D
How to determine the reflection of Z?From the graph, see attachment, we have the following highlights:
The letter Z is in the second quadrant.
Also, B and D are letter Z.
So, they cannot represent the reflection
When reflected across the x-axis, the reflection is C
Hence, the figure that shows the reflection of the letter Z is C
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Identify the domain of the given function.
Answer:
choice C
Step-by-step explanation:
x could be any number except -1.
Cause for x=-1 the denominator becomes undefined.
These points are linear.
Find the slope.
x036912
y12345
[?]
slope =?/?
Answer:
slope = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (6,3) and (x₂, y₂ ) = (9,4) ← 2 ordered pairs from the table
m = [tex]\frac{4-3}{9-6}[/tex] = [tex]\frac{1}{3}[/tex]
According to the property
below?
√30
OA. 25
OB. -√5
O C. 5
OD. -5
OE. √5
Vo = √ which choice is equivalent to the quotient
4
Answer:
√30/6 = √5
The correct answer would be E
The value of the expression √30/√6 is √5, option E is correct.
What is Number system?A number system is defined as a system of writing to express numbers.
The given property is √a/√b = √(a/b)
Now we have to find the equivalent to the quotient √30/√6
By the given property let us plug in a as 30 and b as 6
√30/√6
= √(30/6)
When we simplify the fraction inside the root we get 5
= √5
Hence, the value of the expression √30/√6 is √5, option E is correct.
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Identify the causes of immigration and emigration?
A person can immigrate to another country for educational purposes.
A person can emigrate to another country for work.
A person can emigrate to another country due to war in their own country.
What is emigration and migration?
Migration is when a person moves from one geographical location or another. Immigration and emigration are types of migration.
Immigration is when a person moves to a foreign country. For example, when a US citizen moved to Italy for work. Emigration is when a person lives his home country.
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