Answer: D) 150 degrees
Step-by-step explanation:
Opposite angles in a parallelogram are equal so, if angle D is 30 degrees, angle F is also 30 degrees. This adds up to 60 degrees.
A parallelogram is a quadrilateral so the total of its angles is 360 degrees.
Subtract 60 degrees from 360 = 300
Angles E and G will be 300 divided by 2 so E is 150 degrees.
Two customers took out car loans from a bank.
Marcus took out a 5-year loan for $10,000 and paid 4.7% annual simple interest.
Gianna took out a 6-year loan for $10,000 and paid 4.5% annual simple interest.
What is the difference between the amounts of interest Marcus and Gianna paid for their car loans?
Enter your answer in the box.
The difference between the amounts of interest Marcus and Gianna paid for their car loan should be $350.
Calculation of the difference;
For Marcus, the interest be like
= ($10,000) (4.7%) (5)
= $2,700
And, for gianna, the interest be like
= ($10,000) (4.5%) (6)
= $2,350
So, the difference is
= $2,700 - $2,350
= $350
hence, The difference between the amounts of interest Marcus and Gianna paid for their car loan should be $350.
Learn more about interest here: https://brainly.com/question/21508109
Answer:
$350
Step-by-step explanation:
Simple interest formula
[tex]\Large\boxed{\sf I=Prt}[/tex]
where:
I = total interest accruedP = principalr = interest rate (in decimal form)t = time (in years)Marcus
Given:
P = $10,000r = 4.7% = 0.047t = 5 years⇒ Interest = 10000 × 0.047 × 5
⇒ Interest = $2,350
Gianna
Given:
P = $10,000r = 4.5% = 0.045t = 6 years⇒ Interest = 10000 × 0.045 × 6
⇒ Interest = $2,700
Difference
Difference = Gianna's interest - Marcus' interest
= $2,700 - $2,350
= $350
Jacob buys a watch costing £84
This cost includes VAT at a rate of 20%.
How much is the watch without VAT?
I need help some plz answer give out point!
Answer:
Kiwis because there are 12 and cost less then nectarienes
Step-by-step explanation:
hope this helps pls give me brainliest
help pls!! ....................................................
Answer:
(a) The width is 40 inches
(b) It will not
Step-by-step explanation:
Given
[tex]D = 50[/tex] -- Diagonal
Solving (a): H = 30 --- (height).
Find the width (W)
To do this, we make use of Pythagoras theorem
[tex]D^2 = H^2 + W^2[/tex]
This gives:
[tex]50^2 = 30^2 + W^2[/tex]
[tex]2500 = 900 + W^2[/tex]
Collect Like Terms
[tex]W^2 = 2500 - 900[/tex]
[tex]W^2 = 1600[/tex]
Take square roots
[tex]W = 40[/tex]
Solving (b): Will it fit into a 30 in wide cabinet?
In (a) above, we calculated the width of the TV to be 40 inches
This implies that, the width is greater than the width of the cabinet.
So, it will not fit in
Write a general formula to describe the variation:
x varies inversely with the square root of y; x = 6 when y = 64.
Answer:
the last one
Step-by-step explanation:
The functions f and g are defined as follows.
f(x)= 1/(x+2)
g(x)= square root of: (x-1)
(a)
State which value of x cannot be included in the domain of f.
(b)
Find the inverse of g(x)
(c) Calculate fg(10)
Answer:
x != -2, x^2 + 1, 1/5
Step-by-step explanation:
(a) It can be understood that nothing can divide 0
thus denominator cannot be 0 meaning x cannot be -2.
(-2 + 2) = 0
(b) y = sqrt(x-1)
inverse meaning we make x the subject
square both sides
y^2 = x - 1
y^2 + 1 = x
inverse = x^2 + 1
(c) composite function:
pass g(10) as domain of f
g(10) = 3, f(3) = 1/(5) = 1/5
Find the Area of the Shaded Region.
Round to the nearest tenth if necessary.
14 cm
25 cm
11 cm
What is the slope of the line
A.1/2
B.1
C.-2
D.2
What is the equation of the inverse y = x^2 + 4?
WILL GIVE BRAINLIEST, PLS HELP
A coin is tossed and a number cube is rolled at the same time. What is the probability that the coin will land on tales and the number cube will land on four?
A:) 1/12
B.) 1/6
C.) 1/4
D.) 5/12
Answer:
A: [tex]\frac{1}{12}[/tex]
Step-by-step explanation:
Chance of tales: [tex]\frac{1}{2}[/tex]
Chance of four: [tex]\frac{1}{6}[/tex]
Multiply: ([tex]\frac{1}{2}[/tex])([tex]\frac{1}{6}[/tex]) = [tex]\frac{1}{12}[/tex]
A coin is flipped 20 times. The results are 12 heads and 8 tails. Determine the theoretical probability of getting heads.
60%
40%
20%
50%
Answer: I should be 60%
Step-by-step explanation:
20 * 5 = 100 so we multiply the number of times you got heads by 5. 12 * 5 = 60.
Answer:
it will be 60%
because i got it right
Will give brianliest
Answer:
A B and C
Step-by-step explanation:
A has a coordinate of 3.75 because 2.5 × 1.5 = 3.75 and 3.75 is greater then -3
B has a coordinate of 7 because -3.5 × -2 = 7 and 7 is greater then -3
C has a coordinate of 0 because 0 x 0 = 0 and 0 is greater then -3
D has a coordinate of -6 because -1.5 x 4 = -6 and -6 is less then -3
Hopes this helps
The average value of a function f over the interval [−2,3] is −6 , and the average value of f over the interval [3,5] is 20. What is the average value of f over the interval [−2,5] ?
Answer:
The average value of [tex]f[/tex] over the interval [tex][-2,5][/tex] is [tex]\frac{10}{7}[/tex].
Step-by-step explanation:
Let suppose that function [tex]f[/tex] is continuous and integrable in the given intervals, by integral definition of average we have that:
[tex]\frac{1}{3-(-2)} \int\limits^{3}_{-2} {f(x)} \, dx = -6[/tex] (1)
[tex]\frac{1}{5-3} \int\limits^{5}_{3} {f(x)} \, dx = 20[/tex] (2)
By Fundamental Theorems of Calculus we expand both expressions:
[tex]\frac{F(3)-F(-2)}{3-(-2)} = -6[/tex]
[tex]F(3) - F(-2) = -30[/tex] (1b)
[tex]\frac{F(5)-F(3)}{5-3} = 20[/tex]
[tex]F(5) - F(3) = 40[/tex] (2b)
We obtain the average value of [tex]f[/tex] over the interval [tex][-2, 5][/tex] by algebraic handling:
[tex]F(5) - F(3) +[F(3)-F(-2)] = 40 + (-30)[/tex]
[tex]F(5) - F(-2) = 10[/tex]
[tex]\frac{F(5)-F(-2)}{5-(-2)} = \frac{10}{5-(-2)}[/tex]
[tex]\bar f = \frac{10}{7}[/tex]
The average value of [tex]f[/tex] over the interval [tex][-2,5][/tex] is [tex]\frac{10}{7}[/tex].
Which expression is equivalent to 5 - 8?
O -5 +8
O 5+ (-8)
0 5 + 8
O 8 + (-5)
Answer:
is "5+(-8)"
Step-by-step explanation:
5 - 8 = -3
5 + (-8)
5-8 = -3
Answer:
B
Step-by-step explanation:
There are 18 cupcakes. How many different ways can the cupcakes be placed in packets, so each packet has the same number of cupcakes and there are no left-over cupcakes?
Here's a graph of a linear function. Write the equation that describes that function. 8 Express it in slope intercept form. Enter the correct answer.
Answer:
f(x) = [tex]\frac{1}{2}x+4[/tex]
Step-by-step explanation:
Let the equation of the function is,
f(x) = mx + b
Here, m = slope of the line
b = y-intercept
From the graph attached,
y-intercept 'b' = 4
Slope = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{4}{8}[/tex]
= [tex]\frac{1}{2}[/tex]
Therefore, equation of the function representing the graph will be,
f(x) = [tex]\frac{1}{2}x+4[/tex]
Which statements are true about a rectangular pyramid with a height of 9 centimeters and a base with the
dimensions of 4 centimeters by 6 centimeters? Select two options.
The area of the base of the pyramid, B, is 8 cm.
The area of the base of the pyramid, B, is 24 cm?
A rectangular prism with the dimensions of 9 cm by 4 cm by 6 cm will have 3 times the volume of this pyramid.
1
A rectangular prism with the dimensions of 9 cm by 4 cm by 6 cm will have 3 of the volume of this pyramid.
The volume of this pyramid is 216 cm
Answer:
- The area of the base of the pyramid, B, is 24 cm
- A rectangular prism with the dimensions of 9 cm by 4 cm by 6 cm will have 3 times volume of this pyramid.
Step-by-step explanation: Volume of a rectangular based pyramid = 1/3{Base area × Height}
Base Area = Length × Breadth
Volume = 1/3{(Length × Breadth) × Height}
Given a rectangular pyramid with a height of 9 centimeters and a base with the dimensions of 4
centimeters by 6 centimeters
Base Area = 4cm × 6cm
Base area = 24cm²
If Height =9cm
Volume of the pyramid = 1/3 × 24 × 9
Volume = 24 × 3
Volume of the pyramid = 72cm³
If the shape is a prism, the volume will be base area × height
= 24 × 9
= 216cm³
It can be seen that volume of rectangular prism = 3 × volume of rectangular pyramid.
Can anyone help me out on this
Answer:
i'd saay 3/7
Step-by-step explanation:
also plz help on this
how would you estimate the price if a shirt that usually costs $32.99 is on sale for 25% off?
Answer:
32.99/4 is about 8.25
8.25 x 3= 24.75
about 24.75
Step-by-step explanation:
In the diagram below of circle 0, GO = 8 and
mZGOJ= 60°.
G
8
60°
What is the area, in terms of A, of the shaded
region?
Answer:
[tex] \frac{80\pi} [/tex]
Step-by-step explanation:
Area of shaded region = θ/360 × πr²
Where,
θ = 360 - 60 = 300°
r = 8
Plug in the values
[tex] area = \frac{300}{360} * \pi * 8² [/tex]
[tex] = \frac{5}{6} * \pi * 64 [/tex]
[tex] = \frac{5*\pi*64}{6} [/tex]
[tex] = \frac{5*\pi*16} [/tex]
[tex] = \frac{80\pi} [/tex]
The two dot plots represent a sample of the number of people in households in two towns. Which statements are true about the data sets?
Check all that apply.
Both have the same number of data points.
Both means are between 3 and 4.
Both have the same median.
Both have the same range.
Westwood has less variability than Middleton.
Answer:
both have the same amount of dots I know that.
Step-by-step explanation:
also, I love the profile picture:)
Answer: 1, 2, and 5
Step-by-step explanation:
I did it myself
Reasoning Find the sum (3x + 9) + (- 4x + 8).
combine terms with variables
(3x + 9) + (- 4x + 8) =
Answer:
-x + 17
Step-by-step explanation:
3x minus 4x is negative x
9 plus 8 is 17
1448×17 in vertical order
What’s the answer to this?
Answer:
B
Step-by-step explanation:
Answer:
It think he should be , the correct answer is B
ANSWER ASAP The questions on a multiple-choice test each have 5 answer choices.
Which of the following models could you use to simulate the
outcome of guessing the correct answer?
F. spinning a spinner with five equal sections
G. flipping a coin five times
H. spinning a spinner with four equal sections
I. rolling a number cube labeled one through six five times
Answer:
F, spinning a spinner with five equal sections
Step-by-step explanation:
The probability of something is (the ways to acheive the wanted outcome / all possible situations)
For example, the probability of getting heads on a coin flip is (1 possible way to get heads / 2 possible outcomes) = 1/2, or 50/50
Now, onto the problem.
There is only one way to get the answer right, and 5 possible situations. So, the probability of getting the question right would be 1/5.
F) Spinning a spinner with five parts means that you have: 1 way to get the right section, and 5 possible outcomes. So, the probability of getting the right section would be 1/5. So, this answer is correct.
G) Flipping a coin five times: Each time, you have a 1/2 chance of the coin landing on the desired side. So, this would not be an accurate comparison.
H) Spinning a spinner with four equal sections: There is one way to land on the desired section, and 4 possible outcomes. So, the probability of this simulation is 1/4, so this answer is incorrect.
I) Rolling a number cube labeled one through six times: Each time, there is one way to land on the number you want, while there are six possible outcomes. So, the probability of getting your desired number is 1/6, which is incorrect.
I hope this helps! Feel free to ask any questions!
Math question attached below
Answer:
4 x 2
Step-by-step explanation:
number of rows is 4
number of columns is 2
I'm lost on this please help
Answer:
y = x - 4
I hope this helps!
Solve 1= X^2+3x-16/X^2-6x+8
Answer:
x=1.816298 or x=−1.162524
Step-by-step explanation:
Step 1: Multiply both sides by x^2.
x2=x4−3x3+8x2−16
x2−(x4−3x3+8x2−16)=x4−3x3+8x2−16−(x4−3x3+8x2−16)(Subtract x^4-3x^3+8x^2-16 from both sides)
−x4+3x3−7x2+16=0
(Use quartic formula)
x=−1.162524,1.816298
Check answers. (Plug them in to make sure they work.)
x=1.816298(Works in original equation)
x=−1.162524(Works in original equation)
An 8 kg box is at rest and is pushed for 10 m with a 60 N force. If it's accelerated to 10 m/s, calculate the efficiency of the force.
Answer:
2/3
Step-by-step explanation:
The work done on the box is ...
Fd = (60 N)(10 m) = 600 N·m = 600 J
The amount of energy the box has as a result is ...
KE = 1/2mv² = (1/2)(8 kg)(10 m/s)² = 400 kg·m²/s² = 400 J
The ratio of box energy to energy input is ...
η = (400 J)/(600 J) = 2/3 . . . ≈ 66.7%
5th grade only what is the quotation of these