D. 43.3
Step-by-step explanation:
Recall SOH-CAH-TOA
we can use the Sine and Cosine functions along with the relationships to the sides of a triangle to solve this problem.
Tonya has $2000 in savings. She wants to save more money. She is considering two options:
• Plan A: Increase her balance by $1,000 every year
• Plan B: Increase her balance by 20% every year.
How much more money will she save with plan B after 10 years when compared to Plan A
(B)
(A) $383
(C) $12,000
$9,562
$12.383
(D)
figure b is scaled copy of figure a
Answer:
true
Step-by-step explanation:
multiply by 3
Please help with answer!
Answer:
0.12 x (x + 3000) = 4200
equation for her salary last year : last year's salary = (4200 / 0.12) - 3000
$32,000
Step-by-step explanation:
Let x = last year's salary
this year's salary = 3000 + x
this equation can be used to determine how much she saved this year = 0.12 x (x + 3000) = 4200
to find last year's salary, make x the subject of the formula
4200 / 0.12 - 3000 = x
x = $32,000
Hannah has a bag containing 2 Red, 4 purple, 4 Blue and 2 Green
marbles that all are the same size and shape. What is the
probability of randomly choosing a Red marble replacing it, and
then randomly choosing a Blue marble?
Answer:
1/18
Step-by-step explanation:
there are 12 marbles in the bag
P(choose red) = 2/12 = 1/6
P(choose blue after replacement) = 4/12 = 1/3
P(choose red, then blue with replacement) = (1/6)(1/3) = 1/18
A set of chemistry exam scores are normally distributed with a mean of 70 points and a standard deviation of 4 points. Cam got a score of 65 points on the exam. What proportion of exam scores are higher than Cam's score? (hint the z score taken from the z score chart linked below will be the number of scores below Cam's. We are looking for the number of scores higher than Cam's Score. This is 1 - z score)
Answer:
89.44%Step-by-step explanation:
Find the z-score:
z = (x - μ) / σz = (65 - 70) / 4 = -1.25From the z-score table we get corresponding value of 0.1056
Proportion of scores higher than Cam's score:
1 - 0.1056 = 0.8944 = 89.44%Answer:
A set of chemistry exam scores are normally distributed with a mean of 70 points and a standard deviation of 4 points. Cam got a score of 65 points on the exam. What proportion of exam scores are higher than Cam's score? (hint the z score taken from the z score chart linked below will be the number of scores below Cam's. We are looking for the number of scores higher than Cam's Score. This is 1 - z score)
4 A roll of paper is shown below.
Tube
About how much cardboard is needed to make the inner tube for a roll of paper if the tube
has a diameter of 4.5 cm and is 24 cm long?
F 339 cm2
G 679 cm2
H 371 cm2
J
382 cm2
Answer:
339 cm²
Step-by-step explanation:
Using the relation for the surface area of a cylinder :
A = 2πrh
r = Radius = diameter / 2 = 4.5 / 2 = 2.25 cm
Height, h = 24 cm
A = 2 * 22/7 * 2.25 * 24
A = 339.29200 cm²
Surface Area =339 cm²
About 339cm³ of cardboard will be needed for the inner tube.
To make inner tube card board needed is 339 cm² of the material.
What is Surface area ?The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Here, diameter = 4.5 cm
then, radius = 4.5/2 = 2.25 cm
height = 24 cm
Surface area = 2πrh
= 2 X 3.14 X 2.25 X 24
= 339.12 cm²
Thus, to make inner tube card board needed is 339 cm² of the material.
Learn more about Surface area from:
https://brainly.com/question/2835293
#SPJ5
a pincushion with a circumference of 10 cm has a surface area of
Answer:
the answer would be d on pshc
Mrs. Craig gave her class 15 minutes to read. Abby reads 5.5 pages in that time. At what rate, in pages per hour, would Abby read?
Please help me with my work (no links)
Answer:
1,044(sqrd)
Step-by-step explanation:
18*18=324cm(sqrd)
18*20= 320
320/2= 180cm(sqrd)
180*4= 720cm(sqrd)
720+324= 1,044(sqrd)
The measure of an angle is 50°.what is the measure of its complementary angle
Answer:
If "x" is the degree measure of the given angle, then the measure of its complement is (x+50) degrees.
And since these angles are complementary, you have this equation x + 50 = 90 °
x = 90 - 50
x = 40 °
The other angle is 40 °
Find the area of the parallelogram
A. 11 Square units
B. 14 square units
C. 24 Square units
D. 12 square units
Therefore , the solution to the given problem of surface area comes out to be 24 square unit.
What does surface area is exactly?Shape is a unit used to describe how much overall space a material's surface occupies. A three-dimensional shape surface area is equal to the sum of its surroundings. The overall surface coverage of a multi shape is referred to as surface area. The volume of water of a cube featuring five rectangular faces can be calculated by adding up each face's specific area. As an alternative, you can identify the box's measurements using the formula below: Surface (SA) is equal to two times two times two.
Here,
The presented parallelogram has a height of 5-2 = 3 units.
The given parallelogram's basis is comprised of => 7 -(-1) units => 8 units.
As a result, the supplied parallelogram has a surface area of 8 * 3 = 24 square units.
As a result, 24 square units are required to solve the given area problem.
To know more about surface area visit:
https://brainly.com/question/2835293
#SPJ1
Mr. Frankel bought 8 tickets to a puppet show and spent $30. He bought a combination of child tickets for #3 each and adult tickets for $5 each. How many adult tickets did Mr. Frankel buy?
How many adult tickets did he buy
please explain steps
Answer:
3 adult tickets and 5 children tickets.
Step-by-step explanation:
Make a chart:
1 adult + 7 children = 1(5)+7(3) = 26
2 adults + 6 children = 2(5)+6(3) = 28
3 adults + 5 children = 3(5)+5(3) = 30
4 adults + 4 children = 4(5)+4(3) = 32
5 adults + 3 children = 5(5)+3(3) = 34
6 adults + 2 children = 6(5)+2(3) = 36
7 adults + 1 child = 7(5)+1(3) = 38
The answer in bold is the only one that leads to $30, therefore he bought 3 adult tickets and 5 children tickets.
The temperature outside is -4 degrees. If it drops 5 degrees during the night, what will the
temperature be?
Answer:
-9
Step-by-step explanation:
A website sells two brands of face paint. Brand A costs $3 for 4 fl oz. Brand B costs
$7 for 10 fl oz. How much more per fluid Ounce does Brand A cost than Brand B?
Answer:
Brand A costs 5 cents more than Brand B
Step-by-step explanation:
divide 3 by 4 to get the unit price of brand a
divide 7 by 10 to get the unit price of brand b
I need help with this, I'm terrible with graphs lol.
What is the area of the trapezoid? The diagram is not drawn to scale.
A. 36 cm2
B. 9 cm2
C. 21 cm2
D. 16.5 cm2
Answer:
Area of trapezoid = 21 cm²
Step-by-step explanation:
Given:
Length of rectangular shape = 4 cm
Width of rectangular shape = 3 cm
Base of triangle = 3 cm
Number of triangle = 3 cm
Find:
Area of trapezoid
Computation:
Area of trapezoid = Area of middle rectangle + Number of triangle[Area of triangle]
Area of trapezoid = [l x b] + 2[(1/2)(b)(h)]
Area of trapezoid = [4 x 3] + 2[(1/2)(3)(3)]
Area of trapezoid = 12 + 9
Area of trapezoid = 21 cm²
At your local store, you are given a coupon for 20% off any store item purchased on Monday. When you return to your store, you notice that an item (normal price = $50) is on clearance for 40% off. You are allowed to use the coupon on the clearance item. How much should you pay for the item? Should it be 60% off of the normal price?
Answer:
$24
no, it is 48% off normal price
Step-by-step explanation:
clearance price = normal price - value of the 40% discount
value of the 40% discount = 0.4 x $50 = $20
Price = $50 - $20 = $30
final price = clearance price - value of 20% coupon
value of 20% coupon = 0.2 x $30 = $6
final price = $30 = $6 = $24
total value off normal price = $24 /$50 x 100 = 48%
When deciding on an outfit, Alex can choose from 3
pairs of shoes, 3 pairs of pants, and 6 shirts. How many
different outfits are possible, if Alex chooses exactly 1
pair of shoes, 1 pair of pants, and 1 shirt?
F. 136
G. 54
H. 36
J. 15
K. 12
Answer:
54
Step-by-step explanation:
3*6*3=54
The solution is Option G.
The number of ways of choosing exactly 1 pair of shoes, 1 pair of pants, and 1 shirt is given by combination C = 54 ways
What are Combinations?The number of ways of selecting r objects from n unlike objects is:
ⁿCₓ = n! / ( ( n - x )! x! )
where
n = total number of objects
x = number of choosing objects from the set
Given data ,
Let the number of ways of choosing exactly 1 pair of shoes, 1 pair of pants, and 1 shirt be C
Now , the equation will be
The total number of shoes = 3 pairs
The total number of pants = 3 pairs
The total number of shirts = 6 shirts
And , the number of ways of choosing exactly 1 pair of shoes, 1 pair of pants, and 1 shirt is calculated by Combination , where
The number of ways of selecting 1 pair of shoes = ³C₁
The number of ways of selecting 1 pair of pants = ³C₁
The number of ways of selecting 1 shirt = ⁶C₁
So , the total number of ways = ³C₁ x ³C₁ x ⁶C₁
On simplifying the equation , we get
The total number of ways C = 3 x 3 x 6
The total number of ways C = 54 ways
Hence , the combination is C = 54 ways
To learn more about combinations click :
https://brainly.com/question/28065038
#SPJ6
Calcula la diagonal de un rectángulo cuyos lados tienen las siguientes medidas.
a. 5 dm y 4 dm
b. 8 cm y 6 cm
Las longitudes de las diagonales son √41 dm y 10 cm respectivamente
La medida de la diagonal de un rectángulo: de lado l1 y l2 es igual a
d² = (l1)² + (l2)²
La diagonal entonces es: utilizamos la fórmula dadas para los lados dados y aplicando raíz en la ecuación
A. 5dm y 4dm
d = √((5 dm)² + (4 dm)²) = √(25 + 16) dm = √41 dm
B. 8cm y 6cm
d = √((8 cm)² + (6 cm)²) = √(64 + 36) cm = √100 cm = 10 cm .
15=x-18; x
Please solve this
Answer:
x =33
Step-by-step explanation:
add 18 to both sides to get x=33
a grab bag contains 20 packages worth $0.70 each 15 packages $0.60 each and five packages worth 30 cents each what is the expected value if you have to pay fifty cents each to pick one package at random
Answer:
The expected value is $0.1125
Step-by-step explanation:
The number of packages worth $0.70 in the grab bag = 20
The number of packages worth $0.60 in the grab bag = 15
The number of packages worth 30 cents in the grab bag = 5
The amount paid to pick one package = 50 cents
The number of packages in the bag, n = 20 + 15 + 5 = 40
The total value of the packages in the grab bag, 'V', is given as follows;
V = 20 × $0.70 + 15 × $0.60 + 5 × $0.30 = $24.5
The average value of the packages in the bag, A = V/n
∴ A = $24.5/40 = 0.6125
The expected value is the value of the investment, at a point in time, the expected value E(X) is found by finding the sum of the of the calculations of the possible outcomes as follows
Whereby a $0.70 package is picked up, we have;
E(X)₁ = ($0.70 - $0.50) × 20/40 = $0.10
Whereby a $0.60 package is selected, we have;
E(X)₂ = ($0.60 - $0.50) × 15/40 = $0.0375
Whereby a $0.30 package is selected, we have;
E(X)₃ = ($0.30 - $0.50) × 5/40 = $(0.025)
Therefore, the expected value, E(X), is found as follows;
E(X) = E(X)₁ + E(X)₂ + E(X)₃
E(X) = 0.1 + 0.0375 - 0.025 = $0.1125
The expected value, E(X) = $0.1125
1+2x+x^2 = y Given x = 1
Answer: y=16
Step-by-step explanation:
Hope this helps
Please help out with some of these.
Answer:
1. 1/12
2. 1/8
3. 1/6
4. 1/6
5. 1/4
6. 1/8
7. 1/6
8. 1/8
9. 1/12
Step-by-step explanation:
A rectangle measures 3cm by 4cm.What is the length of its diagonal ?
Answer:
5cm
Step-by-step explanation:
Given data
Length= 3cm
Width= 4cm
Applying Pythagoras theorem
z^2= x^2+y^2
z^2= 3^2+ 4^2
z^2= 9+16
z^2= 25
square root both sides
z= √25
z= 5cm
Hence the diagonal is 5cm
Joseph made a scale drawing of an Italian restaurant. The scale he used was 1 millimeter : 6 meters. The restaurant's kitchen is 24 meters long in real life. How long is the kitchen in the drawing
Answer:
4mm
Step-by-step explanation:
Joseph made a scale drawing of an Italian restaurant. The scale he used was 1 millimeter : 6 meters.
From the above question, our scale factor is given as:
1 millimeter : 6 meters.
1 mm = 6 m
Which also means
6m = 1 mm
The restaurant's kitchen is 24 meters long in real life. How long is the kitchen in the drawing?
Hence, we can calculate this as
6m = 1 mm
24 m = x mm
Cross Multiply
6 m × x mm = 24m × 1 mm
x mm = 24m × 1 mm/6m
x mm = 4 mm
Therefore, the length of the kitchen in the drawing is 4mm
) How is the Domain for the function f(x) = (x restricted?
Hi everyone How are yall doing today and How are you mia!!!! I miss You i havent spoke to u in awhile im getting worried....
Answer: i dunnu who mia is....BUT SUMWON GOTTA CRUSH
I NEED HELP ASAP!!!!!!! pleaseeee
Milk is sold 1/2 pint bottles
Answer:
in the photo
SORRY IF BAD HANDWRITING
Help me please help me I really need help
Answer:
44%
0.44 is 44% of 1.