Given:
A cube has square sides with area [tex]x^2+24x+144[/tex].
To find:
The expression that represents the surface area of the cube.
Solution:
It is given that,
The area of each side of cube = [tex]x^2+24x+144[/tex]
Number of sides of a cube = 6
Total surface area of the cube is the product of number of sides of the cube and the area of each side. So, the total surface area of the cube is
[tex]SA=6(x^2+24x+144)[/tex]
[tex]SA=6(x^2)+6(24x)+6(144)[/tex]
[tex]SA=6x^2+144x+864[/tex]
Therefore, the expression that represents the surface area of the cube is [tex]6x^2+144x+864[/tex].
please answer this!!!!
Jacob wanted to know what the most popular sneaker brand was of his classmates. His class had 30 students. To save time, he asked 10 boys the brand of sneakers that they were wearing. Of the students surveyed; Nike was the most popular sneaker brand.
Explain 2 ways Jacob's survey could have been more representative of his class's favorite sneaker brand.
Answer:
He could have asked the girls as well, and could have asked the entire class instead of just 10 students.
Step-by-step explanation:
By only asking 10 boys, he is not getting a complete representation of the whole class, as their are 30 students in the class.
Sienna is determining the solution 6b + 12 = 102 A:15 B:17 C:90 D:102
how much should your mom set aside and invest in a fund earning 3% compounded quarterly is she needs 85,000.00 in 20 months
Answer:
PV= $73,201.14
Step-by-step explanation:
Giving the following information:
Future value (FV)= $85,000
Number of periods (n)= 20 months
Interest rate (i)= 0.03/4= 0.0075
To calculate the lump-sum required to reach the objective, we need to use the following formula:
PV= FV / (1 + i)^n
PV= 85,000 / (1.0075^20)
PV= $73,201.14
If y=2x+5, then determine the value of y if x=4.
PLEASE HELP !! two angles in a triangle have measurements of 20 degrees and 50 degrees. what is the measure of the third angle? the options are 70 degrees, 30 degrees, 110 degrees, and 120 degrees
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Answer:
110°
Step-by-step explanation:
The sum of angles in a triangle is 180°. The measure of the third angle is ...
180° -20° -50° = 110° . . . third angle
Answer:
The measurement of third angles of triangle is 110°.
Step-by-step explanation:
Given :-
Two angles in a triangle have measurements of 20° and 50 °.
To Find :-
Measurement of third angles of triangle
Solution :-
We know that the sum of all angles of triangle is 180°.
Measurement of third angles = x20° + 50° + x = 180°
combine like terms
70° + x = 180°
subtract both side from 70°.
70° - 70° + x = 180° - 70°
x = 110 °
Hence, measurement of third angie of triangle is 110°.
an object is kept at a distance of 15 cm from each of the above lens calculate the image distance and magnification o
f first image
Answer:
answer is
Step-by-step explanation:
Object distance (u) = -100cm Focal length (f) = 50cm Image distance = v By lens formula; 1v−1u=1f1v−1u=1f ⇒ 1v−1−100=1501v−1−100=150 ⇒1v=150−11001v=150−1100 ⇒1v=2−1100−11001v=2−1100−1100 v =100cm Hence the image is formed at 100 cm behind the lens. Object distance (u) = -100cm Focal length (f) = -25cm Image distance = v By lens formula;Read more on Sarthaks.com - https://www.sarthaks.com/951256/an-object-is-kept-at-a-distance-of-100-cm-from-each-of-the-above-lenses-calculate-the?show=951265#a951265
NEED HELP FAST ILL MAKE BRAINLIEST
Jenna's English teacher tells her that there are 5 vowels in the alphabet. Based on this information, Jenna states that given any word in the English language, the probability of randomly choosing a vowel from among the word's letters is 5/26.
Explain the flaw in Jenna's reasoning.
Provide a word where the probability of randomly choosing a vowel from the word's letters is 1/2.
Answer:
Number of alphabets in English = 26 Number of vowels = 5 (a, e, i, o ,u) So, the probability of choosing a vowel = 5/ 26.
If you vertically compress the absolute value parent function, Fx) = \X, by
multiplying by, what is the equation of the new function?
Answer:
I don't know this answer snsjsnsjskanwnkanwnksnesjisjwjww
Hey guys, I really need some notes on Trigonometric Identities. So can someone please assist me, please it's urgent. (´･_･`)
There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant and cotangent. These six trigonometric ratios are abbreviated as sin, cos, tan, csc, sec, cot. These are referred to as ratios since they can be expressed in terms of the sides of a right-angled triangle for a specific angle θ.
Arrange the following in ascending order. 1/2 1/4 3/4 1
Answer:
1/4
1/2
3/4
1
Step-by-step explanation:
1/2 = 0.5
1/4 = 0.25
3/4 = 0.75
1 = 1
Point T is on
SU ST=20 and TU=8
what is SU?
Day
Average speed, s
(miles per hour)
7.2
Number of
calories burned,
616
6.8
584
Monday
Thursday
Friday
Saturday
7.9
672
8.5
720
On certain days of the week, Elaine runs for an
hour on a treadmill. For each day that she ran in
the last week, the table above shows the average
speed s at which she ran, in miles per hour, and
the number of calories c she burned during the
run. If the relationship between c and s can be
modeled by a linear function, which of the
following functions best models the
relationship?
A) c(s) = 30s + 400
B) c(s) = 60s + 210
C) c(s) = 80s + 40
D) c(s) = 90s - 30
Answer:
ran" (and any subsequent words) was ignored because we limit queries to 32 words.
An empty container has a capacity of 60000 liters to 1 s.f. Tony pours in 5400 liters of water to 2 s.f. He says he filled more than 10 % of container is he correct ? Show working
Answer:
Tony poured is 9% of the total
Step-by-step explanation:
Given data
The capacity of the container= 60000 liters
Amount of water that tony pours= 5400 liters
Let us compute the percentage to know if it is up to 10%
= 5400/60000*100
=0.09*100
=9%
Hence the amount of water Tony poured is 9% of the total
Answer:
He is wrong
Step-by-step explanation:
60 000 LB=55000
60 000 UB=65000
5400 LB= 5350
5400 UB=5450
65000x0.10=6500
55000x0.10=5500
he is wrong
PLEASE HELP Given the function [tex]f(x)=\sqrt{3x+3+2}[/tex]
Answer:
98.97
Step-by-step explanation:
I used my notes on page 34
Total health care costs in the United States in 2016 was $1.7 trillion. he US population was 290.9 million. What was the average amount spent per person on health care?
Answer:
$5,843.9
Step-by-step explanation:
2016
Total health care cost in US = $1.7 trillion
= $1,700,000,000,000
Population in US = 290.9 million.
= 290,900,000
Average amount spent per person on health care = Total health care cost in US / Population in US
= 1,700,000,000,000 / 290,900,000
= $5843.9326228944
Approximately,
$5,843.9
To the nearest whole number
= $5,844
What is the value of the expression?
8 1/2-2+4 3/4
. has endpoints B(5, 9) and C(–4, –3). Find the coordinates of the midpoint of . (0.5, 1.5) (1, 3) (0.5, 3) (1, 6)
Answer:
(0.5,3)
Step-by-step explanation:
Hi there!
We are given a line that has the endpoints of (5,9) and (-4,-3); we need to find the midpoint of the line.
The midpoint formula is given as ([tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2}}{2}[/tex]), where [tex]x_{1}[/tex], [tex]x_{2}[/tex], [tex]y_{1}[/tex], and [tex]y_{2}[/tex] are values of coordinate points
to avoid any confusion, we can label the values of the coordinates and then substitute them into the formula to find the midpoint
[tex]x_{1}[/tex]=5
[tex]y_{1}[/tex]=9
[tex]x_{2}[/tex]=-4
[tex]y_{2}[/tex]=-3
now substitute into the formula
so to find the value x in the midpoint, we'll use this part of the formula: [tex]\frac{x_{1}+x_{2} }{2}[/tex]
substitute 5 and -4 into the formula
[tex]\frac{5+-4}{2}[/tex]
do the addition on the numerator
[tex]\frac{1}{2}[/tex] or 0.5
now let's find the value of y in the midpoint. we'll use this part of the formula: [tex]\frac{y_{1}+y_{2}}{2}[/tex]
substitute 9 and -3 into the formula
[tex]\frac{9+-3}{2}[/tex]
do the addition on the numerator
[tex]\frac{6}{2}[/tex] or 3
Therefore the midpoint is (0.5,3)
Hope this helps! :)
Name the marked angle in 2 different ways.
1) angle LKM
2) angle MKL
1. Area =
Perimeter =
help me pls i wanna go home ;(
Answer:
Area of a triangle=1/2base x height
1/2x12x4
6x4
24units
Perimeter is the distance round the given figure
9+12+5
26units
Find the slope of the line.
N
ローワー
E
5
6
2
Y
a. Undefined
C.
b. 0
d. -1
Answer:
They have undefined slopes
Step-by-step explanation:
The line is a vertical line
Vertical lines are in the form x= constant
They have undefined slopes
I need your help!!!
In which triangle is the value of x to tan^-1(3.1/5.2)??
(Images may not be drawned on the scale)
The angle of x in the right angle triangle is 30.80 degrees
Right angle triangle:
Right angle triangle have one of it angles as 90 degrees. The angles can be found using trigonometric ratios.
Let's find the angle x using trigonometric ratios;
tan x = opposite / adjacent
Therefore,
tan x = 3.1 / 5.2
x = tan⁻¹0.59615384615
x = 30.7991697243
x ≈ 30.80°
Therefore, the angle of x is 30.80 degrees
learn more on right angle triangle here: https://brainly.com/question/3770177
Help me please
How many solutions does the equation
x -4 = 12 - 2x have? Explain.
- ? .
Answer: one solution.
Step-by-step explanation:
[tex]\dfrac{2}{3} x-4=12-2x\\\\\dfrac{2}{3} x+2x=12+4\\\\2\dfrac{2}{3} x=16\\\\\dfrac{8}{3} x=16\\\\8x=16 \cdot 3\\\\8x=48\\\\x=\dfrac{48}{8} =6[/tex]
This equation has one solution: x = 6.
what is the answer to 2x + 9(x – 1) = 8(2x + 2) – 5
Answer:
-4 =x
Step-by-step explanation:
2x + 9(x – 1) = 8(2x + 2) – 5
Distribute
2x +9x -9 = 16x+16 -5
Combine like terms
11x-9 = 16x +11
Subtract 11x from each side
11x-9-11x = 16x-11x+11
-9 = 5x+11
Subtract 11 from each side
-9-11 = 5x+11-11
-20 = 5x
Divide by 5
-20/5 = 5x/5
-4 =x
which phase best describes the translation from tge graph y=2(x-15)^2 to the graph of y=2(x-11)^2+3?
Answer:
Graph translates 4 units to the left then 3 units up.
Step-by-step explanation:
The constant in the bracket changes for - 15 to -11 . A change of + 4.
This shifts the whole graph horizontally 4 units to the left.
The + 3 moves the whole graph 3 units upwards.
Mr. Alen has a tank of volume 450 cm3. Convert the volume into “m3
Answer:
0.000450 m3
Step-by-step explanation:
Please help I’ll give brainliest
Answer:
The answer is 9².
Step-by-step explanation:
9⁵ = 59049
9³ = 125
59049 ÷ 125 (9⁵ ÷ 9³) = 81
9² (9 × 9) = 81
Kevin needs 2/3 cups of sugar to make his favourite brownie recipe. How many cups of sugar does he need to make six batches of brownies for a bake sale? 
NO LINKS ALLOWED OR YOU’LL BE REPORTED!
Please solve with explanation
Answer:
56+8√2=8(7+√2)
Step-by-step explanation:
1. P= AB+BC+CD+DE+EF+FG+GA
2. AB=DC=12
BC=16
AG=ED=4
AG+ED+GE=16
4+4+GE=16
GE=16-8
GE=8
GF²= EF²+GE²
GF²=64+64
GF²=128
GF=8√2
3.P= 12+16+12+4+8+8√2+4= 56+8√2
Answer:
Area = 160 sq cm
Perimeter = 67.31 cm
Step-by-step explanation:
Area of the figure = Area of rectangle with dimensions 16 cm and 12 cm - Area of the right triangle with base and height ecah 8 cm.
=16*12 - 1/2 * 8 *8
= 192 - 32
= 160 sq cm
GEF is a right triangle.
Therefore, by Pythagoras theorem:
[tex] FG^2 = FE^2 + GE^2 [/tex]
[tex] \therefore FG^2 = 8^2 + 8^2 [/tex]
[tex] \therefore FG^2 = 64+64 [/tex]
[tex] \therefore FG^2 = 128 [/tex]
[tex] \therefore FG =\sqrt {128}[/tex]
[tex] \therefore FG =11.3137085[/tex]
[tex] \therefore FG = 11.31\: cm[/tex]
Perimeter of the figure
= 12 + 16 + 12+4+8+11.31+4
= 67.31 cm
Determine whether the given equation has one solution, no solution, or infinitely many solutions. 2/3 x=9-2(-1/3x+3)
infinitely many solutions
no solution
cannot be determined
one solution
Answer this PLZZZZZZ
Answer:
Hy^2 = H^2 + B^2
= 7^2 + 12^2
D.) = 193 square root