Answer:
Surface area of rectangular prism = 250 cm²
Step-by-step explanation:
The rectangular prism is Prism B
Surface area of rectangular prism = 2lw + 2hw + 2lh
Where,
h = 10 cm
w = 5 cm
l = 5 cm
Plug in the values
Surface area of the rectangular prism = 2(5)(5) + 2(10)(5) + 2(5)(10)
= 50 + 100 + 100
= 250 cm²
what makes 1/3 x > 12 true
Answer:
I dont know I am sorry I really had to ask a question and i don't have enough points so sorry you can report me if you want but I really need some
Each side length is doubled. What is the AREA of the new figure?
Answer:
24 square units
Step-by-step explanation:
When the sides are doubled, new figure so obtained will have:
Base (b) = 2*3 = 6 units
Height (h) = 2*4 = 8 units
Area of the figure when each sides are doubled
[tex] = \frac{1}{2} \times b \times h \\ \\= \frac{1}{2} \times 6 \times 8 \\ \\ = 3 \times 8 \\ \\ = 24 \: square \: unite[/tex]
two hikers walk on the trans-canada trail for 5.0 h and cover 42km what is there average speed for the trip
Answer:
about 8 km per hour
Step-by-step explanation:
8 kilometers every hour for 5 hours is 40 km wich is very close to 42km. hope this helps
Find the variance of the data. 22, 34, 7, 27, 25 x = 23 Variance (²) = [?]
Therefore, the variance (²) of the data. 22, 34, 7, 27, 25 x = 23 is 79.6.
Variance calculation
To find the variance of a set of data, you can follow these steps.
Calculate the mean of the data set.
Mean = (22 + 34+ 7 +27 +25)= 23.
Substract the mean from each data point and square.
(22 -23)² =1
(34 -23)² =121
(7-23)² =256
(27-23)² =16
(25 -23)² =4
Find the mean of the squared differences.
The mean of squared differences = (1 + 121+ 256+ 16+ 4) /5 = 79.6
Therefore, the variance (²) is 79.6.
Learn more about variance below.
https://brainly.com/question/30125349
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Amy buys 22 envelopes for 13p each and pays with a £5 note.
How much change does she get?
Give your answer in pounds, £.
5. Find the surface area of a sphere with
the radius of 1.5 cm.
a. 28.26 cm
b. 7.065 cm
c. 18.84 cm
d. 14.13 cm
Select the correct answer.
What is the factored form of this expression?
X^2 - 12x + 36
OA. (x+6)^2
OB. (x - 12)(x - 3)
OC. (x-6)^2
OD. (x-6)(x+6)
Answer:
C
Step-by-step explanation:
since -6 and -6 are factors of 36 that add up to equal -12, the factored form of the expression is (x-6)^2.
For which color is the difference between the theorectical probability and experimental probability greatest? A. Brown; The experimental probability is 19.52%, and the theoretical probability is 25%. B. Orange; The experimental probability is 18.9%, and the theoretical probability is 15%. C. Yellow; The experimental probability is 16.96%, and the theoretical probability is 20%. D. Green; The experimental probability is 22.7%, and the theoretical probability is 15%.
Answer: green
Step-by-step explanation:
An item on sale costs 85% of the original price. The original price was $33.
Use the ALEKS calculator to find the sale price.
?
Answer: 28.05
Step-by-step explanation:
Which of the following is not an exterior angle of triangle BHE
Answer:
I dont know
Step-by-step explanation:
ZABD and ZDBC are supplementary angles.
What is the measure of x?
X = [?]°
DR
X 148
B
>C
AT
Angles are not drawn to scale.
Answer:
Solution given:
x+148=180°[linear pair]
x=180°-148=32°
x=32° is your answer
Answer:
Solution:
Given,
X+48°=180°
X=180°-48°
X=32°
so,
X=32° answer
hope it is helpful to you
The list below shows the different choices of pizza at the local pizza shop: Pepperoni: 11 Supreme: 7 Cheese: 6 Hawaiian: 3 Based on these results, what is the theoretical probability of choosing a Hawaiian Pizza?
Step-by-step explanation:
11 + 7 + 6 + 3 = 27
total amount of pizza = 27
Hawaiian pizza = 3
3/27 = 1/9
please help i am stuck and trying not to fail lol. also if you can show work pls
Given:
The figure of rectangle.
To find:
a. The diagonal of the rectangle.
b. The area of the rectangle.
c. perimeter of the rectangle.
Solution:
(a)
In a right angle triangle,
[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\sin 30=\dfrac{12}{Hypotenuse}[/tex]
[tex]\dfrac{1}{2}=\dfrac{12}{Hypotenuse}[/tex]
[tex]Hypotenuse=12\times 2[/tex]
[tex]Hypotenuse=24[/tex]
So, the diagonal of the of the rectangle is 24 units.
(b)
In a right angle triangle,
[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]
[tex]\tan 30=\dfrac{12}{Base}[/tex]
[tex]\dfrac{1}{\sqrt{3}}=\dfrac{12}{Base}[/tex]
[tex]Base=12\sqrt{3}[/tex]
Length of the rectangle is 12 and width of the rectangle is [tex]12\sqrt{3}[/tex]. So, the area of the rectangle is:
[tex]Area=length \times width[/tex]
[tex]Area=12 \times 12\sqrt{3}[/tex]
[tex]Area=144\sqrt{3}[/tex]
So, the area of the rectangle is [tex]144\sqrt{3}[/tex] sq. units.
(c)
Perimeter of the rectangle is:
[tex]P=2(length+width)[/tex]
[tex]P=2(12+12\sqrt{3})[/tex]
[tex]P=24+24\sqrt{3}[/tex]
[tex]P\approx 65.57[/tex]
Therefore, the perimeter of the rectangle is about 65.57 units.
y = –3x + 7
y = 2x – 8
Answer:
Step-by-step explanation:
Using the comparison, substitution, and elimination method, the answer is:(x,y)=(3,-2)
When rewriting the equation the answer is:
3x+y=7
2x-y=8
find the value of x in the isosceles triangle shown below
Answer:
[tex]x=6[/tex]
Step-by-step explanation:
[tex]x=\sqrt{52-4^2}=6[/tex]
Solve for x 103 (3x+4)
The length of the rectangle is 9 cm.
The perimeter of the rectangle is 31 cm.
(b) Work out the width of the rectangle.
Answer:
Perimeter = 2(L+W)
31 =2(9+w)
31 =18+2W
31-18=2W
13=2W
W=13/2
W=6.5cm
Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures θ radians (where 0≤θ<2π). The circle's radius is 2 units long and the terminal point is (−1.15,−1.64).
The terminal point is how many radius lenghts to the right of the circle's center?
h=
Then, cos−1(h)=
Does the number we get in part (b) give us the correct value of θ?
Therefore, θ=
Answer:
hello attached below is the sketch of the missing diagram
a) h = 2
b) cos^-1 ( 2 ) = ∞
c ) θ ≈ 215°
Step-by-step explanation:
a) The length ( h ) to the right of the circles center
= h^2 = ( -1.15)^2 + ( -1.64)^2
∴ h = 2
b) cos^-1 ( 2 ) = ∞
c) The value gotten from b does not give us the value of θ
AB = - 1.64
BC = -1.15
AC = 2
sin^-1 ( - 1.64 / -1.15 )
cos^1 ( -1.15 / 2 ) gives us the value of θ
tan^-1 ( -1.64 / -1.15 )
∴ θ ≈ 215°
nabiha wants to decorate her home for an upcoming party she bought a roll of ribbon from "dollarama" which is 3.2 m long
(a) how many 15 cm of ribbon can be cut from a 3.2m long ribbon
(b) how long is the remaining peice
Answer:
A = 21
B = 5
Step-by-step explanation:
1 meter = 100 centimeters
This means that she has 320cm of ribbon. Now you need to divide 320 by 15
320/15 = 21.3333333333
So to check your work you could multiply 15 by 21
15 x 21 = 315
This answer is less than 320 so you now know that Nabiha can cut 21 pieces of ribbon that are 15cm long. You also know that the remaining piece is 320 - 315 = 5.
Please award me brainiest! Hope this helps!
PLEASE HELP WILL MARK BRAINLIEST
Answer:
Part 1: f(x)=0 has 0 solutions
Part 2: g(x)=0 has 2 solutions
Part 3: h(x)=0 has 1 solution
I graphed them
How to find rate of change on a table
Answer:
__X__l__Y_
1 l 3
5 l 6
9 l 9
13 l 12
17 l 15
21 l 18
On the right side, the numbers get larger by adding three each time. On the left side, the numbers get larger by adding 4 each time. It would be the same for any other pair of numbers when you add 4 to the left, and 3 to the right. For instance, the next pair would be (25 , 21). 25 would be the X value, and 21 would be the Y value.
PLEASE HELP BRAINLIEST.
Answer:
98 cm^2
Step-by-step explanation:
it contains 8 right triangles and one square;
the area of the square = 8 x 8 = 64
.
the area of all the traingles; 4 x 8 = 32
.
sum up; 32 + 64 = 98 cm^2
A car is traveling at a speed of y miles per hour. which situation would be described by the expression 1.2y?
HOW LONG IS PQ?
special right triangles khan academy
Answer:
Step-by-step explanation:
The side opposite to the angle 30 degree in right triangle is half of hypothenuse.
what percentage of this shape is shaded?
Answer:
50%
Step-by-step explanation:
A family decides to put tiles in the entryway of their home. The entryway has an area of 7 square meters. If each tile is 5 centimeters by 5 centimeters, how many tiles will it take to cover the entryway?
It will take ______ tiles to cover the entryway.
9514 1404 393
Answer:
2800 tiles
Step-by-step explanation:
Each tile has an area of (0.05 m)² = 0.0025 m². Then the number of tiles required to cover 7 square meters is ...
(7 m²)/(0.0025 m²/tile) = 2800 tiles
It will take 2800 tiles to cover the entryway.
1.4
2
Lawrence wants to drive from Durban to Johannesburg 550 km. if he travels at
an average speed of 100 km/hr, how long does he tale to get there?
If he leaves at 08:42 what time will he arrive at his destination
1.5
2
Answer:
5 hr 30 minutes
2:12 pm
Step-by-step explanation:
s= 550km
v = 100km/hr
t = ?
SPEED = DISTANCE/ TIME TAKEN
or, v = s/t
or, 100km/hr = 550km/ t
or, t = 550/100
t = 5.5
t = 5 hrs 30 minutes
8:42
+5:30
13 :72
which is 14 :12 = 2 :12
at his last baseball game, George missed 35% of the pitches thrown at him. based on this information, how many pitches will he miss if he has 40 pitches thrown at him?
Answer:
14
Step-by-step explanation:
35% of 40
= 35/100 × 40
= (35×4)/10
= 140/10
= 14
10th grade geometry question. I will give brainliest. NEED HELP ASAP
Answer:
(-4+5)-1
Step-by-step explanation:
x^2 +10x+21 factor this
Answer:
(x+3)(x+7)
Step-by-step explanation:
3 and 7 are factors of 21, and they add up to 10.