Answer:
See below ~
Step-by-step explanation:
Subpart (a) :
⇒ Surface area = 2(3 × 4 + 4 × 5 + 3 × 5)
⇒ Surface area = 2(12 + 20 + 15)
⇒ Surface area = 2(47)
⇒ Surface area = 94 in²
===============================================================
Subpart (b) :
⇒ Volume = 3 × 4 × 5
⇒ Volume = 12 × 5
⇒ Volume = 60 in³
=============================================================
Subpart (c) :
⇒ New surface area = 2 x 94
⇒ New surface area = 188 in²
=============================================================
Subpart (d) :
⇒ New : Original
⇒ 188 : 94
⇒ 2 : 1
Give the final answers in scientific notation
Answer:
I'm assuming you want me to do 18-23? Okay:
Step-by-step explanation:
18) 8.6(10^−4)+6.7(10^−5)
=0.000927 --> 9.27 × 10^-4
19) 3.5(10^3)−9(10^1)
=3410 --> 3.41 × 10^3
20) 5.6(10^4)(4.5(10^6))
=252000000000 --> 2.52 × 10^11
21) 7.6(10^−7)(8.9(10^−2))
=0 --> 0
22) 3.9(10^−12)/4(10^4)
=0 --> 0
23) 1.75(10^5)/5(10^−3)
=35000000 --> 3.5 × 10^7
-
Please comment below if you would like me to solve #24 :)
The bolded numbers are the answer, the underlined numbers are to show the question number. Hope this helped !!
find angle BAD of the diagram.
[tex]∠BAD≈65.22°[/tex]
Step-by-step explanation:Note:
The following formula is tan formula:
[tex]tan(\theta)=\dfrac{opposite}{adjacent}[/tex]
1) Finding the tan of ∠BAC
[tex]tan(\theta)=\dfrac{4}{5}[/tex]
[tex]\theta=tan^-1(\dfrac{4}{5})[/tex]
2) Finding the tan of ∠CAD
[tex]tan(\theta)=\dfrac{3}{6}[/tex]
[tex]\theta=tan^-1(\dfrac{3}{6})[/tex]
3) Add the value of ∠BAC to the value of ∠CAD
[tex]tan^-1(\dfrac{4}{5})+tan^-1(\dfrac{3}{6})≈65.22°[/tex]
4) The sum of interior angles in quadrilateral is 360°
Then
[tex]tan(∠BAC)+tan(∠ACB)+tan(∠CAD)+tan(∠ACD)=360°[/tex]
[tex]tan^-1(\dfrac{4}{5})+tan^-1(\dfrac{5}{4})+tan^-1(\dfrac{3}{6})+tan^-1(\dfrac{6}{3})=180°[/tex]
[tex]180°+∠CDA+∠CBA=^?360[/tex]
[tex]180°+90°+90°=^?360°[/tex]
[tex]360°=360°[/tex]
PLEASE HELP!! ILL MARK U AS BRAINLIEST!!!
The answer would be [tex]\frac{1}{2}[/tex].
The probability of getting a 5 is [tex]\frac{1}{100}[/tex] and the probability of getting a number larger than 50 is [tex]\frac{49}{100}[/tex] (the 50 doesn't count). Add those up and you get [tex]\frac{50}{100}[/tex] and can be simplified to [tex]\frac{1}{2}[/tex].
Answer:
51/100
Step-by-step explanation:
The probability is the ratio of the number of outcomes of interest to the total number of possible outcomes.
__
There is one number 5. There are 50 numbers in the range 1–100 that are greater than 50. So, the total number of outcomes of interest is 1+50 = 51.
The possible outcomes are any of the numbers 1–100, so there are 100 of them.
The probability of interest is ...
P(n=5||n>50) = 51/100
A picture frame can hold a photograph that is 16 inches long and 12 inches wide.
What is the area of the photo that fits the frame?
Answer: The area of the photo that fits the frame is 192 square inches.
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Area of a rectangle (A) = Length x width
Replacing with the values given and solving for A (area):
A = 16 x 12 = 192 in2
The area of the photo that fits the frame is 192 square inches.
Feel free to ask for more if needed or if you did not understand something.
Find the distance between the points (2, 8) and (-1, 9).
1.√10
2. √2
3.2√3
Answer:
1.
Step-by-step explanation:
distance = √(X2 - X1)^2 + (Y2 - Y1)^2
= √(-1 - 2)^2 + (9 - 8)^2
= √(-3)^2 + (1)^2
= √ 9 + 1
= √10
Answer:The distance is √10
Step-by-step explanation:
Question 7(Multiple Choice Worth 1 points)
(07.05 MC)
graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 3, negative 1, and 3
Which of the following functions best represents the graph?
f(x) = (x + 3)(x − 3)(x − 9)
f(x) = (x + 3)(x − 3)(x + 9)
f(x) = (x + 3)(x − 3)(x − 1)
f(x) = (x + 3)(x − 3)(x + 1)
The function best represents the given graph will be f(x) = (x + 3)(x − 3)(x - 1)
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
Given that:-
A graph of a cubic polynomial that falls to the left and rises to the right with x-intercepts negative 3, negative 1, and 3.The polynomial for the given points will be written as:-
f(x) = (x + 3)(x − 3)(x - 1)
The coordinate is -3 so it will be written as (x+3) similarly 1, and 3 will be written as (x-3) and (x-1) .
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3 different ways to write 5^11
Answer:
There are many ways we can write [tex]5^{11}[/tex] one of them being that we just write 11 fives being multiplied against each other like the following:
[tex]5*5*5*5*5*5*5*5*5*5*5[/tex]
This can seem very repetitive which is why powers are a lot more helpful. We can also rewrite [tex]5^{11}[/tex] using the power in the bottom of a fraction. The way that we do this is put [tex]5^{-11}[/tex] on the bottom which can then be flipped to the top with a positive power and will be the same.
[tex]\frac{1}{5^{-11}}[/tex]
The final way that we can rewrite [tex]5^{11}[/tex] is by using several different powers. We can do [tex]5^6*5^5[/tex] which will equal the same thing as [tex]5^{11}[/tex] because the base is the same and what we basically do is just add up the powers together to get back to 11.
[tex]5^6*5^5[/tex]
Answer:the answer above is correct
Step-by-step explanation:
Which of the following ordered pairs does NOT represent a point that lies on the graph of the linear equation x + 5y = 15?
A. (10, 1)
B. (-5, 1)
C.(5, 2)
D.(-10, 6)
Answer:
D
Step-by-step explanation:
(-10,6) got it correct
Which expressions are equivalent?
Answer:
3x -7y = -7y+3x
Step-by-step explanation:
3x is positive and 7y is negative
We can reverse the order
3x -7y = -7y+3x
Can a regular polygon have an interior angles of 160
Answer:
Step-by-step explanation: interior angle of a regular polygon is 160 degrees, then the exterior angle is 20 degrees. The sum of all exterior angles is 360 degrees so there must be 360/20 sides = 18 sides.
yes it can have 160 degree as interior angel
100 POINTS!!!Each of the four angles of a quadrilateral measures 90°. How many rectangles can you construct using this condition? A.0 B.1 C.2 D.4 E.infinitely many
Kate is the captain of a large cruise ship. As she
drives the ship, she sits 50 meters above the sea.
Paul is the captain of a boat. He sits 15 meters
above the sea. If the radius of the earth is
6,371,000 meters, how much further can Kate see
across the horizon than Paul?
Kate can see across the horizon by 3.33 times further than Paul.
What is the shape of the horizon?The assumed shape of the horizon shows that it forms a cone shape. The volume of the cone can be used to determine how far they can see.
The volume of the cone [tex]\mathbf{ V=\pi r \dfrac{h }{3}}[/tex]
For Kate:
Height (h) = 50 mRadius (r) = 6,371,000 m[tex]\mathbf{ V=\pi r \dfrac{h }{3}}[/tex]
[tex]\mathbf{ V=\pi \times (6371000)^2 \times \dfrac{50 }{3}}[/tex]
V = 2.12526863 × 10¹⁵ m³
For Paul
Height (h) = 15 mRadius (r) = 6,371,000 m[tex]\mathbf{ V=\pi r \dfrac{h }{3}}[/tex]
[tex]\mathbf{ V=\pi \times (6371000)^2 \times \dfrac{15 }{3}}[/tex]
V = 6.3758059 × 10¹⁴ m³
To determine how much further can kate see across the horizon than Paul, we have:
= Volume of Kate/Volume of Paul
= 2.12526863 × 10¹⁵ m³/6.3758059 × 10¹⁴ m³
= 3.33 times further.
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A model stature is 5 in wide. If it was built with a scale of 1 in: 2 ft, then how wide is the real statue?
(Pls awnser quickly)
Answer:
10 ft.
Step-by-step explanation:
Scale ⇒ 1 in. : 2 ft.
1 in. : 2ft. = 5 in. : x ft. [x is the width of the real statue]1/2 = 5/xx = 5 × 2x = 10 ft.Scale factor
1in=2ftWidth of model=5in
Width of structure
5(2)10ftIn an orchard, there are 17 apple trees, 30 orange trees, and a cherry tree. what is the ratio of orange trees to cherry trees? a. 17:30 b. 47:30 c. 30:1 d. 1:30
Answer: C. 30:1
Step-by-step explanation:
A ratio of x:y is created by taking the number of x and the number of y, plugging them in, and reducing if necessary. In this problem, x is orange trees and y is cherry trees. There are 30 orange trees and only 1 cherry tree, so the ratio is 30:1. It cannot be reduced.
Please help fast. Need soon!
Add and simplify. What is the restriction on x?
[tex]x\neq _________[/tex]
[tex]\frac{2}{x+4} +\frac{x}{x-3}[/tex]
[tex]\cfrac{2}{x+4}~~ + ~~\cfrac{x}{x-3}\implies \cfrac{(x-3)2~~ + ~~(x+4)x}{\underset{\textit{using this LCD}}{(x+4)(x-3)}} \\\\\\ \cfrac{2x-6+x^2+4x}{(x+4)(x-3)} \implies \cfrac{x^2+6x-6}{(x+4)(x-3)}\qquad x\ne -4,3[/tex]
why can't it be -4 or 3? for if it ever does become -4 or 3, the denominator will turn to 0, giving an undefined fraction.
4. Write an expression to find the perimeter
of the rectangle below. 6x
3x-5
Answer:
Down below
Step-by-step explanation:
If I am correct, it would be 6x + 6x + 3x - 5 + 3x - 5. I am almost positive this is what they are asking for. If I am incorrect, I will answer three questions for free, on any topic of your choosing. In advance, sorry if I'm incorrect.
Which statements are true regarding the scenario? check all that apply. the probability you select a red marble is three-tenths. the probability you select a purple marble is three-tenths. p(red) p(yellow) p(purple) = 1 the probability you select a green marble is 0. the probability you select a yellow marble is 3.
The correct options are:
The probability you select a purple marble is 3/10
P(Red) + P(Yellow) + P(Purple) = 1
The probability you select a green marble is 0.
What are the correct options?Probability calculates the chance that an event would happen. If it is certain that the event would not happen, it would have a value of 0. If it is certain that the event would happen, it would have a value of 1.
Probability of picking a red marble = total number of red marbles / total number of marbles
= 4/10
Probability of picking a purple marble = total number of purple marbles / total number of marbles
3/10
P(Red) + P(Yellow) + P(Purple) = 4/10 + 3/10 + 3/10 = 1
Here is the complete question:
A bag contains four red marbles, three yellow marbles, and three purple marbles. You will randomly select one marble from the bag.
Which statements are true regarding the scenario? Check all that apply.
The probability you select a red marble is 3/10
The probability you select a purple marble is 3/10
P(Red) + P(Yellow) + P(Purple) = 1
The probability you select a green marble is 0.
The probability you select a yellow marble is 3.
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Answer:
b,c,d on edge
Step-by-step explanation:
trust
Kendra mixes 2 liters of iced tea with 1 liter of lemonade. she pours an equal amount of the mixture into 6 jars. how many milliliters of the mixture did kendra pour into each jar? use the drop-down menu to complete the answer. please help
Answer:
Kendra pours 500 milliliters of the mixture into each jar.
Step-by-step explanation:
2 liters + 1 liters = 3 liters3 liters = 30 desiliters30 dl ÷ 6 = 5 dl5 desiliters = 500 millilitersAnswer:
500
Step-by-step explanation:
Kendra poured
500
milliliters into each jar.
90 POINTS!! PLEASE HELP, IF YOU GIVE CORRECT ANSWER ILL GIVE YOU BRAINLIEST!!
Answer:
the answer is b
Step-by-step explanation:
you multiply 0.1% or 0.001 to 4200
the reason I am not multiplying 1.2% is because that is for yearly and 0.1% is for monthly
Answer:
A
Step-by-step explanation:
find 1.2% of £4,200 then multiply it
¿Es cierto que 8/12 2/4 = 1 1/6?
Solve the following system of equations algebraically.
x+y=27
y=x+3
*first person to get it right gets brainliest :)
Answer:
(x, y) = (12, 15)
Step-by-step explanation:
The given expression for y suggests that using substitution would be a good choice for the method of solution.
__
x +(x +3) = 27 . . . . substitute for y using the second equation
2x = 24 . . . . . . . subtract 3
x = 12 . . . . . . . divide by 2
y = 12 +3 = 15 . . . . use the second equation to find y
The solution is (x, y) = (12, 15).
One angle of a triangle measures 65°. The other two angles are in a ratio of 3:20. What are the measures of those two angles?
Answer:
15° and 100°
Step-by-step explanation:
[tex]65 + 3x + 20x = 180[/tex]
[tex]23x = 115[/tex]
[tex]x = 5[/tex]
3 × 5 = 15, 20 × 5 = 100. So the other two angles measure 15° and 100°.
Find the probability of exactly 3 successes p = 0.6, n = 5
Answer:
0.3456 = 34.56%
Step-by-step explanation:
Binomial distribution
[tex]\displaystyle P(X=x)=\binom{n}{x} \cdot p^x \cdot (1-p)^{n-x}[/tex]
where:
n = number of trialsp = probability of successGiven:
p = 0.6n = 5x = 3Substitute the given values into the formula:
[tex]\begin{aligned}\implies \displaystyle P(X=3) & =\binom{5}{3} \cdot 0.6^3 \cdot (1-0.6)^{5-3}\\ & = \dfrac{5!}{3!(5-3)!}\cdot 0.6^3 \cdot 0.4^2\\ & = 10 \cdot 0.216 \cdot 0.16\\ & =0.3456\end{aligned}[/tex]
Therefore, the probability of exactly 3 successes is 0.3456 = 34.56%
?÷9 resto:6 resultado:476 me ayudan necesito saber cual es el numero que se divide por 9 para que la division quede completa.
Porfa doy coronita y les doy mis puntos.
Answer:
4289.4
Step-by-step explanation:
El valor que falta es 4289.4, 4289.4 ÷ 9 = 476.6
Four friends are playing the board game Hidden Treasure. The game begins with 40 coins
divided evenly among the four players. Each player keeps 2 of their coins on the table and
keeps the rest of the coins inside their bag.
Let b equal the number of coins in each bag.
Which equation represents the total number
of coins the four players have?
4(b+2)=40
4b=40
b+2=49
4b+2=40
Answer:
I hope this helps 40 divided by 4 is 10 10 per person 10-2=8 8 coins in each players bag and the total amount of coins in bags is 8 times 4 which is 32
A shirt that was selling for $80 is reduced to $60. Find the percent decrease in price.
Answer:
25% decrease
Step-by-step explanation:
Percentage Decrease = [(Start Value - Final Value) / |Start Value|]×100
80 - 60 = 20
20 / 80 = 0.25
0.25(100)= 25%
Find the measure of the missing angles.
Answer:
y= 129
x= 39
Step-by-step explanation:
Rule 1: Add 4 starting from 0. Rule 2: Add 8 starting from 0. Complete the first 5 terms in each sequence using the rules. How are the corresponding terms related?
Each term in the second sequence is double the corresponding term in the first sequence.
Each term in the second sequence is four times the corresponding term in the first sequence.
Each term in the first sequence is double the corresponding term in the second sequence.
Each term in the first sequence is four times the corresponding term in the second sequence.
First Sequence:
0 + 4 = 4 + 4 = 8 + 4 = 12 + 4 = 16 + 4 = 20
Second Sequence:
0 + 8 = 8 + 8 = 16 + 8 = 24 + 8 = 32 + 8 = 40
Identify correct option:
Each term in the second sequence is double the corresponding term in the first sequence.
A savings account offers 0.8% interest compounded bimonthly. If Bob deposited $300 into this account, how much interest will he earn after 10 years?
Answer:
$288
Step-by-step explanation:
We first need to find what 0.8% of 300 makes and to do that we multiply 300 with 0.8 and divide that by 100
300*(0.8)/100 = 2.4 this is the monthly interest
Now we need to find how much it'd be after 10 years
There are 10*12 = 120 months in 10 years
120*(2.4) = 288 is the interest Bob will earn after 10 years