Answer:
[tex]Area = 138in^2[/tex]
Step-by-step explanation:
Given
[tex]L = 9; W =3; H =3\frac{1}{2}[/tex]
Required
The surface area
This is calculated as:
[tex]Area = 2(LW + LH + WH)[/tex]
So:
[tex]Area = 2(9*3 + 9*3\frac{1}{2} + 3*3\frac{1}{2})[/tex]
[tex]Area = 2(27 + 31\frac{1}{2} + 10\frac{1}{2})[/tex]
[tex]Area = 2*69[/tex]
[tex]Area = 138in^2[/tex]
ang
Name two vertical angles, two supplementary
angles in the diagram below.
Answer:
5 and 3 is vertical. 4 and 6 are vertical. 2 and 1 are supplementary angles.
The school newspaper surveyed 100 commuter students and asked three questions. First, students were asked how many courses they were currently enrolled in. Second, the commuter students were asked to estimate how long it took them to drive to campus. And third, they were asked their heights. Identify the type of random variable being measured by each.
Answer:
The number of courses they were currently enrolled in is a discrete random variable.
The time it took them to drive to campus is a continuous random variable.
Their heights is a continuous random variable.
Step-by-step explanation:
Random variables:
Random variables can be classified as continuous or discrete.
Discrete variables are countable numbers(0,1,2,...), while continuous variables can assume decimal values.
First, students were asked how many courses they were currently enrolled in.
Can be 0,1,2,... that is, has to be a countable number, so the number of courses they were currently enrolled in is a discrete random variable.
Second, the commuter students were asked to estimate how long it took them to drive to campus.
Can be for example, 10.5 minutes, half an hour, that is, can be represented by decimal values, and thus the time it took them to drive to campus is a continuous random variable.
And third, they were asked their heights.
Can also be decimal numbers, so continuous.
Watch help video
In the diagram below of triangle MNO, P is the midpoint of MO and Q is the
midpoint of NO.If PQ = 49 – 8x, and MN = 41 + 3x, what is the measure of
MN?
O
N
P
M M
Answer:
MN = 50
Step-by-step explanation:
Given:
PQ = 49 – 8x
MN = 41 + 3x
Required:
Measure of MN
Solution:
PQ = ½(MN) => Mid-segment theorem of a triangle
Substitute
49 - 8x = ½(41 + 3x)
Multiply both sides by 2
2(49 - 8x) = 41 + 3x
98 - 16x = 41 + 3x
Collect like terms
98 - 41 = 16x + 3x
57 = 19x
57/19 = 19x/19
3 = x
x = 3
Find MN:
MN = 41 + 3x
Plug in the value of x
MN = 41 + 3(3) = 41 + 9
MN = 50
Translate to an algebraic expression.
The difference of five times a number and two
Solve the inequality.
|6p+3|>15
A p<2 or p>−3
B p>−2 or p<3
C p<−2 or p>3
D p>2 or p<−3
Step-by-step explanation:
|6p + 3| > 15
6p = 15 - 3
6p = 12
divide both sides by 6
6p÷6 = 12 ÷ 6
p = 2
hence, p >2 or p < - 3
Four times the sum of 5 and some number is 4. What is the number
Answer:
n = -4
Step-by-step explanation:
1. the sum of 5 and some number translates to 5 + x.
2. 5 + x is getting multiplied by 4, so the equation will then become 4(5 + n).
3. This entire equation is equal to 4, which we can see where the problem says "is four". In other words, four times the sum of 5 + n is equal to 4. 4(5 + n) = 4
4. Now you can solve the equation. When solved, the answer is n = -4
Given the image below, find the area of the regular polygon. The Perimeter of the
decagon is 80 in.
12.3 in.
Answer:
try 492.43, this should be correct if I did this right
The equation f = v + at represents the final velocity of an object, f, with an initial velocity, v, and an acceleration rate, a, over time, t.
Which is an equivalent equation solved for t?
Answer:
(f-v)/a = t
Step-by-step explanation:
f = v + at
Subtract v from each side
f-v = v-v + at
f-v = at
Divide each side by a
(f-v)/a = at/a
(f-v)/a = t
Answer:
f - v = a
t
Step-by-step explanation:
Equation:
f = v + at
subtract -v on both sides
f - v = at
divide t on both sides of the equation
f - v = a
t
The camping group has 24 ppl in all 21 out of 24 would like a s’more it takes 1 min and 30 sec to make each one if two ppl are making them at the same time how long will it take to make one for each person
Answer:
16 minute 30 seconds
Step-by-step explanation:
1 minute 30 seconds = 1.5 minutes
1.5 x 21 = 31.5 minutes
One person will make 10, one person makes 11.
11
11× 1.5 = 16.5
10× 1.5 = 15
16.5 is the answer
In circle S, angle QTR is an inscribed angle.
What is the measure of angle QRS?
angle QRS = 51°
Step-by-step explanation:
The diagram for the question has been attached to this response.
From the diagram, some circle theorems can be applied.
Circle theorem:
The angle subtended by an arc of a circle at the centre is twice the angle subtended by it at any other point on the remaining part of the circle.
From the diagram, QR is the arc and therefore:
∠QSR = 2 x ∠ QTR
Since ∠QTR = 39°
=> ∠QSR = 2 x 39°
=> ∠QSR = 78°
Other theorem:
(i)The base angles of an isosceles triangle are equal.
Triangle QSR is an isosceles triangle, therefore, angles SQR and QRS are equal. i.e
∠SQR = ∠QRS
(ii) The sum of angles of a triangle is 180°. i.e
∠SQR + ∠QRS + ∠QSR = 180°
Since ∠SQR = ∠QRS and ∠QSR = 78°
=> ∠QRS + ∠QRS + 78° = 180°
=> 2(∠QRS) = 180° - 78°
=> 2(∠QRS) = 102°
Divide both sides by 2
=> ∠QRS = 51°
Therefore, angle QRS = 51°
what is the next numbers in the sequence 0, 5, 20, -, -,-
Answer:
51, 104, and the next number of series is 185
Step-by-step explanation:
I hope this will help u
Answer:
the next number in the sequence should be 45
what is 300+45-9x2+22-1+2
Answer:
350
Step-by-step explanation:
Use PEMDAS.
[tex]300+45-9*2+22-1+2[/tex]
300+45-18+22-1+2
345-18+22-1+2
327+22-1+2
349-1+2
348+2
350
What is the true solution to In 20+ In 5= 2 In x?
x=5. A
X= 10 b
X=50 c
X= 100 d
ln(20) + ln(5) = 2 ln(x)
ln(20×5) = ln(x ²)
ln(100) = ln(x ²)
100 = x ²
x = 10
If you use 128m of fencing, what is the largest possible rectangular area you can enclose? What is
the smallest? (Assume all lengths are whole numbers.)
9514 1404 393
Answer:
largest: 1024 m²smallest: 0 m²Step-by-step explanation:
The largest rectangular area with a given perimeter is a square. Each side of the square will be 1/4 of the fence, or 32 m.
The largest enclosed area is (32 m)² = 1024 m².
__
The smallest area will be that of an enclosure consisting of a double-row of fence: 64 m long and 0 m wide.
The smallest enclosed area is (64 m)(0 m) = 0 m².
_____
"Whole numbers" include zero. If you want the lengths to be Natural numbers, then the smallest area will be 63 m long and 1 m wide, or 63 m².
If a triangle has angles of X+2, 2x, and 55. What are the three angle
measurements?
Answer:
41, 43 and 82
Step-by-step explanation:
hope it may help you
Armando works in a research institute and they have collected the following data on a random sample of 500 students,
Gender
GRE score before and after participation in a GRE prep course (GRE is a test you take for entering graduate school)
Armando wants to answer questions the following questions:
1: After taking the GRE preparation course, did women show more improvement on the GRE score or men?
2: After the GRE preparation course, did more women get admitted to the graduate program or men?
3: What statistical method should he use?
a. He should use the one-sample test of the mean to answer question one and the one-sample test of proportion to answer question b.
b. He should use the two-sample test of the mean to answer question one and the two-sample test of proportion to answer question two.
c. He should use the two-sample test of proportion to answer question one and the two-sample test of the mean to answer question b.
d. He should use the paired-sample of the mean to answer question one and two sample test of the mean to answer question two.
Answer:
b. He should use the two-sample test of the mean to answer question one and the two-sample test of proportion to answer question two.
Step-by-step explanation:
Here we have two independent groups, Men and Women, therefore, to show if it is the Men or Women who performed better, this can be determined based the mean scores of each group. Therefore, use the two sample test of mean which is used to test whether the unknown mean of two independent population are equal or not.
In other to determine those who have the greater number of admissions between the two groups, this is determined by comparing the proportion of each group admitted. Hence, rather Than testing for the mean, we compare the proportion. Hence, we use the two sample test of proportion.
Joan is a babysitter. She earns $8.50 per hour. Joan wants to buy a new phone that costs $161.50 with the tax included. Write an equation relating the number of hours she needs to babysit to the amount of money she earns. Find out how many hours Joan must babysit to buy the phone. Use h to represent the number of hours Joan babysits.
Answer:
8.5=161.50;h= 19 hours
Step-by-step explanation:
So its pretty easy all you have to do is multiply 8.5 x 19
What is the value of log √10?
Answer:
0.5
Step-by-step explanation:
Answer:
.5
Step-by-step explanation:
calculator
Find y if the distance between
points P and R is 25 and point R
is located in the first quadrant.
p= (3,-18) r=(10,y)
Answer:
y = 6
Step-by-step explanation:
[tex]\sqrt{(10-3)^2 + (y+18)^2} = 25 \\ 49 + y^2 + 324 + 36y = 625 \\[/tex]
y^2 + 36y - 252 = 0
(y-6)(y+42) = 0
y = 6 (accettable)
y = -42 (not accettable)
please help i will mark you brainliest... A number - _________= the previous number
Answer:
1
Step-by-step explanation:
When 1 substract from any number then will get previous number.
Example:
Let any number that is 5
5-1=4
4 is the just previous number of 5
Therefore, number -1 = the previous number
Answer will be 1
Find the
surface area of the
prism.
Answer:
D. 972 ft^2
Step-by-step explanation:
SA = 2B + PH
where SA = total surface area of the prism,
B = area of a base
P = perimeter of the base
H = height of the prism
SA = 2 * bh/2 + (15 ft + 12 ft + 9 ft)(24 ft)
SA = (9 ft)(12 ft) + (15 ft + 12 ft + 9 ft)(24 ft)
SA = 972 ft^2
who is the president of Uganda
Answer: Yoweri Museveni
☆彡HannaWill mark Brainlest Help pls
g(-1) = -1, g(2) + g(1) = 7
Step-by-step explanation:
Given: g(x) = x³ + x² - x - 2
g(-1) ==> x = -1
g(-1) = (-1)³ + (-1)² - (-1) - 2
g(-1) = -1 + 1 + 1 - 2
g(-1) = -1
g(2) ==> x = 2
g(2) = (2)³ + (2)² - (2) - 2
g(2) = 8 + 4 - 2 - 2
g(2) = 8
g(1) ==> x = 1
g(1) = (1)³ + (1)² - (1) - 2
g(1) = 1 + 1 - 1 - 2
g(1) = -1
g(2) + g(1) = 8 + (-1) = 7
which term in the quotient of this expression contains an error?
Answer:
The + 78 :- it should be + 60.
Step-by-step explanation:
Long division:-
x - 3 )4x^4 - 6x^3 + 0x^2 + 6x + 3 ( 4x^3 + 6x^2 + 18x + 60 <--- Quotient.
4x^4 - 12x^3
6x^3 + 0x^2
6x^2 - 18x^2
18x^2 + 6x
18x^2 - 54x
60x + 3
60x - 180
183
Use the expression below to answer the question.
6n(19−8)÷3=22
In describing the expression, which term would not be used?
a.difference
c.product
b.sum
d.quotient
Answer:
b sum
Step-by-step explanation:
You decide to work out your weekly pay by using the following formula:
p = 5hr
p is weekly pay
h is hours worked
r is rate of pay per hour
This week you worked 8 hours a day, for 5 days, at an hourly rate $6.88.
How much did you earn? $
Answer:
p = 5(8)(6.88)
p = $275.20
PLEASE HELP!!!! WHOEVER GETS IT RIGHT GETS BRAINLIEST !!!!
FIND THE VALUE OF X
Answer:16 degree is the answer.
Since r and m are parallel:
10x-3=7x+45
3x=48
x=16
The angles shown below are supplementary:
what is the value of x
Answer:
[tex]x=12[/tex]
Step-by-step explanation:
By definition, supplementary angles add up to 180 degrees. Therefore, we can set up the follow equation to solve for [tex]x[/tex]:
[tex]10x+60=180,\\10x=120,\\x=\boxed{12}[/tex]
Answer:
x=12
Step-by-step explanation:
Supplementary angles add up to 180 degrees.
10x+60=180
Subtract 60 from both sides:
10x=120
Divide 10 to both sides:
x=12
TERCER TRIMESTRE SEGUNDO GRADO
DEL 7 DE JUNIO AL 18 DE JUNIO
4- Calcular la media, la mediana y la moda de la siguiente serie de numeros: 5, 3, 6, 5, 4, 5, 2, 8, 6,5,4,8,3,4,5,4,8,2
5.4.
Answer:
MEDIA: 4.8
MEDIANA: 5
MODA: 5
espero que te ayude :)
PLEASE ANSWER ASAP. How are direct democracy and representative democracy similar?