Answer:
(A) 120 cm³
(B) 184 cm²
Step-by-step explanation:
(A)
Assuming the diagram attached is thesame as the one needed to complete the question,
Applying
V = A'×L................... Equation 1
Where V = volume of the prism, A' = Area of the triangular base, L = Length of the prism.
But,
A' = 1/2bh............. Equation 2
Where b = base of the triangle, h = height of the triangle.
Substitute equation 2 into equation 1
V = 1/2bh(L)............... Equation 3
From the question,
Given: b = 6 cm, h = 4 cm, L = 10 cm
Substitute these values into equation 3
V = 1/2(6×4×10)
V = 120 cm³
(B)
Surface area of the prism(A) = bh+L(a+b+c).............. Equation 4
Given: b = 6 cm, b = 5 cm, c = 5 cm, L = 10 cm, h = 4 cm
Substitute these values into equation 4
A = (6×4)+10(5+5+6)
A = 24+160
A = 184 cm²
The quantities x and y are positive. If x is
decreased by 20 percent and y is increased by
20 percent, then the product of x and y is
Answer:
Positive
Step-by-step explanation:
Two negative numbers, no matter how small or large are always positive when multiplied. Same goes for two positive numbers. If it was positive beforehand that means both numbers were either negative or positive. A percentage of a negative number is still negative and a percentage of a positive number is still positive so the answer won't change.
Answer:
Decreased by 4%
Anthony is going to invest in an account paying an interest rate of 7%
compounded continuously. How much would Anthony need to invest,
to the nearest cent, for the value of the account to reach $238,000 in
13 years?
Answer:
95800.77
Step-by-step explanation:
Answer:
95800.77
Step-by-step explanation:
An airplane takes off 12.5 miles south of a city and flies due north at a constant speed of 170 miles per hour. What is the planes position relative to the city after 45 minutes
I need help with this problem
Answer:
y= x+1
y= x-5
There are 0 solutions because the lines will never intersect (which is due to their slopes being the same).
Step-by-step explanation:
Because we don't have any numbers we're supposed to esitmate, but the important thing to realize is that the slopes are identical
so let's say our equations are
x+1
x-5
2.)
There are 0 solutions because the lines will never intersect (because their slopes are the same)
Answer:
see explanation
Step-by-step explanation:
The solution to a system of equations given graphically is at the point of intersection of the 2 lines.
Therefore if the lines are parallel, they never intersect and hence there is no solution.
The lines given appear to be parallel and so there is no solution.
5. Classify each triangle by its angle and sides
Answer:
5 is D
6 is C
Step-by-step explanation:
Define:
Equilateral - All sides and angles are congruent
Isosceles: Two congruent sides and two congruent angles
Scalene: No congruent sides or angles
Right triangle: A triangle with a right angle ( note that a right angle has a measure of 90 degrees )
obtuse triangle: A triangle with an obtuse angle ( obtuse angles have a measure of more than 90 degrees. )
Acute triangle : A triangle with an acute angle ( an acute angle has a measure of less than 90 degrees )
Answer:
the triangle shown in # 5 has a right angle and 2 congruent sides and angles
Therefore the triangle in #5 is a right isosceles
The triangle shown in #6 has an angle with a measure that is more than 90 degrees and have no congruent sides or angles therefore the triangle in #6 is an obtuse scalene.
How is 4 2/6 equivalent to 3 8/6?
Answer:
Step-by-step explanation:
Since 3 8/6 is an improper fraction, 8/6 creates a whole number because 6/6 = 1. The remainder of the fraction would be 2/6.
Which, the equivalent is 4 2/6.
PLSSSS HELP IMMEDIATELY!!!!! ILL MARK BRAINIEST IF U DONT LEAVE A LINK OR GUESS!!!!
1:3 I think **************
24 times 57 times 34 plus 50
Answer:
46,562 :) Brainliest pleaseeee
~Answer~
46,562
24*57*34=46,512
46,512+50=46,562
what is the answer
?
In 2 hours, the train will cover 120 miles, in 4 hours, the train will cover 240 miles. The train covered 120 more miles in 4 hours than it did in 2 hours.
What expression is 16 times as large as 18,233- 4,006
Answer:
B
Step-by-step explanation:
16 times means multiply the expression by 16
Pls help and find the area
Answer:
I don’t know the area but here’s a hint to help you (hint: length x with x height)
Step-by-step explanation:
Can someone plz help me with this 1 question and work shown plz
Answer: 365 days five hours 40 minutes 45 seconds
Step-by-step explanation:
YOOO PLEASE HELPPPP!!!!
Given:
Base length of triangle = 40 units
Height of triangle = 9 units
Length of hypotenuse of triangle = 41 units
To find:
Find the value of Tan A
Steps:
Tan of an angle is equal to the opposite length by adjacent length.
So,
Tan A = [tex]\frac{opposite}{adjacent}[/tex]
Tan A = [tex]\frac{9}{40}[/tex]
Tan A = 0.225
Therefore, the exact value of Tan A is 0.225.
Happy to help :)
If you need any help, feel free to ask
can someone pls help me I’m confused
Answer:
The correct answer would be: 27x⁶y⁹
Step-by-step explanation:
=> (3x²y³)³
=> 3³x²⁽³⁾y³⁽³⁾
=> 27x⁶y⁹
Hope this helps!
How many different codes can a combination lock have if there are 4 numbers on the lock and each number can be from 0-9?
Answer:
There are 10,000 possible combinations that the digits 0-9 can be arranged into to form a four-digit code. Suprisingly, people have an intense lack of imagination when it comes to choosing codes.
A bag contains eight yellow marbles, nine green marbles, three purple marbles, and five red marbles. Two marbles are chosen from the bag. What expression would give the probability that one marble is yellow and the other marble is red?
P(Y and R) = StartFraction (8 P 1) (5 P 1) Over 25 P 2 EndFraction
P(Y and R) = StartFraction (8 C 1) (5 C 1) Over 25 C 2 EndFraction
P(Y and R) = StartFraction (1 C 8) (1 C 5) Over 2 C 25 EndFraction
P(Y and R) = StartFraction (1 P 8) (1 P 5) Over 2 P 25 EndFraction
Answer:
The answer is B! P(Y and R) = StartFraction (8 C 1) (5 C 1) Over 25 C 2 EndFraction
Answer:
The Second Option
Step-by-step explanation:
Edge '21
If you flip a coin and roll a six sided die what is the probability that you will flip a heads and roll at least a three
Answer:
1/3
Step-by-step explanation:
H3,H4,H5,H6
p=1/2×1/6+1/2×1/6+1/2×1/6+1/2×1/6
=4×1/2×1/6=1/3
PLEASE ANSWER THISSSSSSSSSSSSS
Answer:
D. 19.5 Ft.
Step-by-step explanation:
Formula: B · H = A
Substitution: 3.25 · 2 = 6.5
6.5 · 3 ( 3 Windows ) = 19.5 Ft.
No le quites puntos gratis a las personas que necesitan ayuda, gracias, Me hiciste eso a mi y a algunas atras personas y no es muy amable...
Arun walked the 6 2/3 kilometre the first day, 5 5/6 kilometre the second day ,and 5 1/3 km the third day .how much did he walk in all ?
Answer:
17 5/6 is the answer.
Step-by-step explanation:
6+5+5=16 + 2/3+5/6+1/3
2/3=4/6
1/3=2/6
2+4+5=11/6=1 5/6
1 5/6+ 16=17 5/6
I did this stuff in like 4th grade
Please help me I don't know how to do this.
Answer:
3x-1
step by step
2+3-5= -1
7x-4x=3x
3x-1
These box plots show the number of electoral votes won by Democratic and
Republican presidential candidates for the elections from 1984 through 2012
Republican
159
170
525
Democratic
299
3675
0
50
100
150
400
450
500
550
200 250 300 350
Electoral votes
Which statement best compares the spreads of the data sets?
Answer:
(a) is true
Step-by-step explanation:
Given
See attachment for box plots
Required
Which of the options is true?
Option A compares the IQR of both plots.
IQR is calculated using:
[tex]IQR = Q_3 - Q_1[/tex]
Where
[tex]Q_1 \to[/tex] Lower quartile
[tex]Q_2 \to[/tex] Upper quartile
From the attached plots, we have:
Republican
[tex]Q_1 = 170.5[/tex]
[tex]Q_3 = 356[/tex]
So:
[tex]IQR = 356 - 170.5[/tex]
[tex]IQR = 185.5[/tex]
Democratic
[tex]Q_1 = 181[/tex]
[tex]Q_3 = 367.5[/tex]
So:
[tex]IQR = 367.5 - 181[/tex]
[tex]IQR = 186.5[/tex]
We have:
[tex]IQR = 185.5[/tex] --- Republican
[tex]IQR = 186.5[/tex] --- Democratic
Hence, (a) is true
A cube has side length of 1 meter. Determine the volume of the cube. Include all of your calculations in your final answer.
Answer:
look at the picture i sent......
Solve for X ...........
Answer:
x = 46
Step-by-step explanation:
Given 2 secants from an external point to the circle, then
The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is
2(2 + x) = 6(6 + 10)
2(2 + x) = 6 × 16 = 96 ( divide both sides by 2 )
2 + x = 48 ( subtract 2 from both sides )
x = 46
IF U ANSWER THIS U ARE SWAG
Is the triangle equilateral, isosceles, or scalene? Pls explain ur answer too
How do I find the range of a function (no links)
y=x/4+1/2 find the x and y Pls help asap
Answer:
y = 1/4x + 1/2 and x = -2 +4y
Step-by-step explanation:
Solving it in a way that x/4 is a fraction and not division so you would make that 1/4x. y = x/4 +1/2 x/4 is 1/4x so then you subtract 1/2 from both sides to get y - 1/2 = 1/4x. You can then divide 1/4 on both sides. -1/2 divided by 1/4 is -2 and 1/4y. This will get your answer of x = 1/4y -2 for x. Y is just 1/4x + 1/2
4. A mysterious card playing squirrel offers you the opportunity to join in
his game. The rules are:
To play you must pay him $2.
• If you pick a spade from a shuffled pack, you win $9
Find the expected value you win (or lose) per game.
.
Answer:
is there a picture along with this??
How much money would you have if you invested $3000 at 6.25% annual interest, compounded daily for 2 years?
Answer:
[tex]A\simeq3399.41[/tex]
Step-by-step explanation:
The amount formula in compound interest is:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
where:
P = principal amount
r = annual interest
n = number of compounding periods
t = number of years
We already know that:
P = $3000
[tex]r = 6.25\% = \frac{6.25\%}{100\%}=0.0625[/tex]
t = 2
n = 365
Then,
[tex]A=3000(1+\frac{0.0625}{365} )^{(365)(2)}\\\\A=3000(1+\frac{0.0625}{365} )^{730}\\\\A=3399.408982\\\\A\simeq3399.41[/tex]
Select the correct answer from each drop-down menu. The length of side PQ is units. The length of side QR is about units. The perimeter of the parallelogram PQRS is about units. Reset Next
Answer:
The length of side PQ is 2 units.
The length of side QR is 2.24 units.
The perimeter of the parallelogram PQRS is about 8.48 units.
Step-by-step explanation:
The given figure is as follows :
To find - The length of side PQ is ....... units.
The length of side QR is about ......... units.
The perimeter of the parallelogram PQRS is ........
Solution -
From the figure , we can see that
P = (-5, 3)
Q = (-3, 3)
R = (-4, 1)
S = (-6, 1)
Now,
By distance formula, we get
PQ = √(3 - 3)² + (-3 + 5)²
= √0 + 2²
= √4
= 2
∴ we get
The length of side PQ is 2 units.
Now,
QR = √(1 - 3)² + (-4 + 3)²
= √(-2)² + (-1)²
= √4 + 1
= √5
= 2.236
∴ we get
The length of side QR is 2.24 units.
Now,
We know that,
Perimeter of Parallelogram = 2(a + b) where a is the base and b is the side
Here Given that,
a = 2
b = 2.24
So,
Perimeter of parallelogram PQRS = 2(2 + 2.24)
= 2(4.24)
= 8.48
∴ we get
The perimeter of the parallelogram PQRS is about 8.48 units.
Answer:
PQ 2 units
QR 2.24 units.
Step-by-step explanation:
i did the test
Math
HELPP PLEASEEE
It is 1.32 pm, Sem will go to the store in 12 minutes. What time will Sam go
to the store?
Answer: 1:44
Step-by-step explanation: 1:32. take the 32 and add 12. 1:44
Answer:
1:32
Now add 12 minutes to 32.
1:44
Step-by-step explanation:
The number on the left of the colum is the hour and the number on the right of the colum is the minutes.