What is the volume of the rectangular prism.
A. 16in. 3
B. 22 1/2in. 3
C. 200 in. 3
D. 212 1/2in. 3
Answer:
C: 200
Step-by-step explanation:
Just multiply 12.5 x 8 x 2 to get the answer.
Answer:
C. 200 in.^3
Step-by-step explanation:
The volume is given by
V = l*w*h
V = 12 1/2 * 8*2
V = 25/2 *8*2
= 25*8
= 200 in ^3
In a survey of 850 students in a school, 90% reported having pets at home. If the margin of error is 3.4%, what is the interval that is likely to contain the exact percent of all people who have pets at home?
Between 3.4% and 90%
Between 90% and 93.4%
Between 86.6% and 90%
Between 86.6% and 93.4%
Answer:
Between 86.6% and 93.4%Step-by-step explanation:
To obtain the population proportion from the sample, we calculate the confidence interval ; Confidence interval = phat ± margin of error Phat = 90% ; margin of error = +3.4% 90% ± 3.4% (90 - 3.4)% ; (90 + 3.4)% 86.6% ; 93.4%
What is the equation of the line?
How do I do this? I don’t understand it
Answer:
Step-by-step explanation:
x+65 = 180 Consecutive angles in llgm are supplementary
x = 180-65 Subtract equal amounts from both sides.
x = 115
y + 65 = 90 This hard to explain without letters. The lines are parallel. The right angle is an extension of the right vertical parallel line. So the left two angles are 90 degrees because of the perpendicular angles.
y = 90 - 65
y = 25
Which of the following budgets is in surplus?
o Income $500, Fixed Exp. $100, Living Expenses $300
o Income $300, Fixed Exp. $100, Living Expenses $300
o Income $400, Fixed Exp. $100, Living Expenses $300
Answer:
Income $500, Fixed exp. $100, Living Expenses $300
proof of basic proportionality theorem
Answer:
Basic proportionality theorem: If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points then the other two sides are divided in the same ratio. and DE intersects AB and AC at D and E respectively. ... Hence we can say that the basic proportionality theorem is proved.
[tex] \boxed{ \sf \: Basic \: Proportionality \: Theorem \: (BPT)}[/tex]
This theorem states that if a line is drawn parallel || to one side of a triangle ∆ to intersect the other 2 sides in distinct points, the other 2 sides are divided in the same ratio.
From the figure, with the help of this proof, we can see that :-
[tex]\sf \: \frac{AD}{AE} = \frac{AE}{EC} \\ [/tex]
Refer to the attached pictures for the proof & the figure.
_____
Hope it helps.
RainbowSalt2222
Divide $128 in the ratio 2:3:7
Answer:
21.33: 32: 74.67
Step-by-step explanation:
2:3:7
The total is 2+3+7 = 12
Divide 128 by 12
128/12 = 32/3
Multiply each number by 32/2
2*32/3 : 3*32/3 :7*32/3
64/3 : 32 : 224/3
Rounding to the nearest cent
21.33: 32: 74.67
Factorize:
a)(a+b) (a-b)-a+b
b)a²-(b-3)a-3b
c) ax²-bx²-ax+bx+a-b
help Me these questions I will mark u as brainliest
Answer:
Step-by-step explanation:
2. The lines shown in the figure are parallel lines cut by a transversal. Angles a and e are:
b
a
d
8
h
Answer:
Corresponding AnglesStep-by-step explanation:
Angles a and e are corresponding angles and they are also congruent.tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
CAN YOU GUYS HELP ME PLS IM FAILING GET THIS CORRECT PLS IM FAILING BADDD ITS PYTHAGOREAN THEOREM
Answer:
the answer will be 10.81
if.you round of to the nearest tenth then 10.8 feet will be the distance from slide to the monkey bar
What is the length of line segment SA
Answer:
slalalallalalalalalalalalallapapapqpqpq
Describe the symmetry of the figure. Identify lines of symmetry, if any. Find the angle and the order of any
rotational symmetry.
Answer:
No symmetry
Step-by-step explanation:
The shape cannot be folded over any line to be equally matched up to the other side
there are 32 students in a class and 20 of them own at least one pet what fraction of the class own pets
HOPE IT HELPS
PLEASE MARK BRAINLIEST
The fraction of the class that owns pets is 20/32, which can be simplified to 5/8.
To find the fraction of the class that owns pets, we divide the number of students who own pets by the total number of students in the class.
A fraction is a mathematical representation of a part-to-whole relationship. It is expressed as a numerical quantity written in the form of one number (the numerator) divided by another number (the denominator), separated by a horizontal line or slash (/).
The numerator represents the number of parts being considered or counted, while the denominator represents the total number of equal parts that make up the whole. Fractions can be used to describe a portion or share of something, as well as to compare quantities or perform mathematical operations.
Number of students who own pets: 20
Total number of students in the class: 32
Therefore, the fraction of the class that owns pets is 20/32, which can be simplified to 5/8.
To know more about fraction , here
https://brainly.com/question/30154928
#SPJ2
Help me pleaseee i could really use it
Answer:
20 and 42
Step-by-step explanation:
Let the greater number be x and the smaller number be y.
3(x +y)= 186
x +y= 186 ÷3
x +y= 62 -----(1)
x -y= 22
x= y +22 -----(2)
Substitute (2) into (1):
y +22 +y= 62
2y= 62 -22 (-22 on both sides)
2y= 40
y= 40 ÷2
y= 20
Substitute y= 20 into (2):
x= 20 +22
x= 44
Thus, the two numbers are 20 and 42.
what is 14.005 as a fraction
Answer:
[tex]14 \frac{5}{1000} [/tex]
Step-by-step explanation:
[tex]14.005 = 14 \frac{5}{1000} [/tex]
proper frac 14 1/200
improper frac 2801/200
Find the sum of the first 40 terms of an arithmetic series whose first term is 7 and 40th term is 115. Type answer as an integer (no decimals)
arithmetic sum formula:
Sn = (a1 +
+ an)
geometric sum formula:
az (1 - p)
S =
1-r
Answer:
Answer:
2440
Step-by-step explanation:
an=115
a=7
Sn=n/2(a+an) [Where n is no. of terms]
= 40/2(7+115)
= 20(122)
= 2440
What is the value of the variable result after these lines of code are executed?
>>> a = 3
>>> b = 2
>>> c = 0
>>> result = a * b - c * b
Answer:
the answer is 6
Step-by-step explanation:
3×2-0×2=6
The circumference of a circle is 257 cm. What is the area,
in
square
centimeters
Answer:
[tex]2\pi \times r = c[/tex]
[tex]\pi \times {r}^{2} = a[/tex]
A=5257.76
Step-by-step explanation:
Or use a calculator online.
Several days after a wedding, an outbreak of cyclosporiasis occurred among attendees. Of the 108 guests at the wedding, 76 were ill and met the case definition. 50 of the 76 who were ill ate the wedding cake. Three of those who were well ate the wedding cake. What is the attack rate for those who ate the wedding cake
Answer:
The answer is "94.3".
Step-by-step explanation:
Calculating the total numbers of cake eaters[tex]=50+3=53\\\\[/tex]
Calculating the total numbers of ill among them[tex]=50\\\\[/tex]
[tex]\therefore[/tex]
The attack rate for those who ate cake[tex]=\frac{50}{53}\times 100\%=94.3[/tex]
Write the solution set of the inequality graphed below as a com-
pound inequality using the variable g.
Answer:
-17 < g [tex]\leq[/tex] 8
Step-by-step explanation:
'g' is within the range of numbers that are greater than -17 and less than or equal to 8. we know that it is less than or equal to because the circle is closed or filled in, at 8.
The line plot below shows the amount of time Jason spent practicing
his soccer skills on six separate days. How much time did he spend on
all six days?
х
X
х
+
3
х
+
1
х
1
Times (hour)
Please help me I will give brainliest!!!!
The total amount of time spent on practicing is 3 minutes
To obtain the total practice time, we multiply the time taken by its respective frequency as seen on the plot.
From the plot:
([tex](1 * 0) + (1 * 1/4) + (2 * 1/2) + (1 * 3/4) + (1 * 1)\\(0 + 1/4 + 1 + 3/4 + 1)\\= 3[/tex]
Hence, the total amount of time spent is 3 minutes as obtained from the dot plot given.
Learn more: https://brainly.com/question/16246931
How many significant digits are there in the number 1.00250? OA) 7 OB) 6 OC) 5 OD) 4
Answer:
OB
Step-by-step explanation:
start counting from 1
Then your significant digit is 6
which statement is true
Roger bought some tins and decided to fill them with brownies to give to his friends. Roger baked 278 brownies. He put 4 brownies in each tin and made sure to fill as many tins as he could. How many brownies did Roger have left over?
Answer:
Divide 278 by 4 and the remainder value is the amount of leftover brownies.
278 ÷ 4 = 69, remainder of 2
Therefore, he had 2 brownies left.
fill in the blanks □+0=3/4.also mention the property used.
plz answer fastly and give correct answer and I can understand .
Answer:
3/4 + 0 = 3/4 Additive Neutral Property
Step-by-step explanation:
8x+4=3(x-1) +7 solve
Answer:
x = 0
Step-by-step explanation:
8x + 4 = 3(x − 1) + 7
Simplify both sides of the equation:
8x + 4 = (3)(x)+ (3)(−1) + 7
8x + 4 = 3x + (−3) +7
Combine like terms:
8x + 4 = (3x) + (−3+7)
8x + 4 = 3x + 4
Subtract 3x from both sides:
8x + 4 − 3x = 3x + 4 − 3x
5x + 4 = 4
Subtract 4 from both sides:
5x + 4 − 4 = 4 − 4
5x =0
Divide both sides by 5:
5x/5 = 0/5
x = 0
The lengths of the sides of a triangle are 4,5 and 6 if the length of the longest side of a similar triangle is 15,what is the length of the shortest side of the triangle
Answer:
The length of the shortest side of the triangle is 10.
Step-by-step explanation:
Given that the lengths of the sides of a triangle are 4, 5 and 6, if the length of the longest side of a similar triangle is 15, to determine what is the length of the shortest side of the triangle, the following calculation must be performed :
6 = 15
4 = X
4 x 15/6 = X
10 = X
Therefore, the length of the shortest side of the triangle is 10.
Instructions: Find the missing side. Round your answer to the nearest tenth
Answer:
x≈64.3
Step-by-step explanation:
since we already know the measures of 2 of the 3 angles in the triangle, we can find the 3rd angle:
180°-90°-25°=65°
now, we can use the law of sines to find the missing side:
sin25°/30=sin65°/x
x sin25°=30sin65°
x=(30sin65°/sin25°)
x≈64.33520762
rounded to the nearest 10th:
x≈64.3
Simplify the square root of –75
Answer:
5 i √ 3
Step-by-step explanation:
Given m|n, find the value of x.
(6x-5)
(6x+5)
Answer:
Submit Answer
attempt
PLSSSS HELP
Answer:
x = 15
Step-by-step explanation:
The two angles form a straight line so they add to 180
6x-5+6x+5 = 180
Combine like terms
12x= 180
Divide by 12
12x/12 =180/12
x = 15
