Answer:
divide the figure into two parts.
area of triangle = 1/2×base×height
area of triangle = 1/2×3×3
area pf triangle = 4.5 units²
area of square = side²
area of square = 3²
area of square = 9unit²
Answer:
The figure is made up of a square and a triangle.
We will find both of their areas separately and then combining them will give us the required area.
Area of the triangle : ½ × base × height
= ½ × 3 × 3
= ½ × 9
= 4.5 units²
Area of the square : (side)²
= 3²
= 9 units²
Now, required area = (4.5 + 9) units²
= 13.5 units²
If Sally purchases a car for $22,000 with a 5 year loan having a 2.5% interest rate, how much simple
interest will she have to pay on the loan?
A.$2,750.00
B.$19,250.00
C.$24,750.00
D.$275,000.00
find the total surface area of the shape
Answer:
510 ft²
Step-by-step explanation:
in the triangle
base (b) = 5 ft
height of the triangle (h1) = 12 ft
height of the prism = 15 ft
Now
Lateral surface area (LSA)
= perimeter of triangular base * height
= ( 13 + 5 + 12) * 15
= 450 ft²
Total surface area
= LSA + 2 * area of triangular base
= 450 + 2 * 1 / 2 * b * h1
= 450 + 5 * 12
= 450 + 60
= 510 ft²
Hope it will help :)❤
Miss Gonzales opened an account with a deposit of $2,000,
The account earned annual simple interest.
She did not make any additional deposits or withdrawals.
At the end of 6 years, the balance of the account was $2,696.
What is the annual interest rate on this account?
Answer:
22.5
Step-by-step explanation:
One airplane is approaching an airport from the north at 164 km/hr. A second airplane approaches from the east at 271 km/hr. Find the rate at which the distance between the planes changes when the southbound plane is 28 km away from the airport and the westbound plane is 17 km from the airport.
Answer:
The rate of change of the distance between the airplanes is approximately 316.760 kilometers.
Step-by-step explanation:
The distance between both airplanes (r), in kilometers, can be determined by the Pythagorean Theorem, that is:
[tex]r^{2} = x^{2}+y^{2}[/tex] (1)
Where:
[tex]x[/tex] - Distance of the westbound airplane from airport, in kilometers.
[tex]y[/tex] - Distance of the southbound airplane from airport, in kilometers.
By Differential Calculus, we derive an expression for the rate of change of the distance between the airplanes ([tex]\dot r[/tex]), in kilometers per hour:
[tex]2\cdot r\cdot \dot r = 2\cdot x \cdot \dot x + 2\cdot y \cdot \dot y[/tex]
[tex]\dot r = \frac{x\cdot \dot x + y\cdot \dot y}{\sqrt{x^{2}+y^{2}}}[/tex] (2)
Where:
[tex]\dot x[/tex] - Rate of change of the distance of the westbound airplane, in kilometers per hour.
[tex]\dot y[/tex] - Rate of change of the distance of the southbound airplane, in kilometers per hour.
If we know that [tex]x = 17\,km[/tex], [tex]y = 28\,km[/tex], [tex]\dot x = -164\,\frac{km}{h}[/tex] and [tex]\dot y = -271\,\frac{km}{h}[/tex], then the rate of change of the distance between the airplanes is:
[tex]\dot r = \frac{x\cdot \dot x + y\cdot \dot y}{\sqrt{x^{2}+y^{2}}}[/tex]
[tex]\dot r \approx -316.760\,km[/tex]
The rate of change of the distance between the airplanes is approximately 316.760 kilometers.
2x+1=5x-8 Solving Equations with Many or No Solutions
Hello!
[tex]\large\boxed{x = 3}[/tex]
2x + 1 = 5x - 8
Solve by subtracting both sides by 2x:
2x - 2x + 1 = 5x - 2x - 8
1 = 3x - 8
Add 8 to both sides:
1 + 8 = 3x - 8 + 8
9 = 3x
Divide both sides by 3:
9/3 = 3x/3
x = 3
Answer:
x = 3
Step-by-step explanation:
1. Write the equation
2x + 1 + 5x - 8
2. Add 8 on both sides
2x + 9 = 5x
3. Get the variables together
9 = 3x
4. Solve for x and divide both sides by 3
x = 3
solve for k. -5/6k = -10
Answer:
k = 12
Step-by-step explanation:
-5/6k = -10
Multiply both sides by 6k
-5/6k x 6k= -10 x6k
simplify
-5 = -60k
Switch sides
-60k = -5
Divide both sides by -60
-60k/-60 = -5/-60
Simplify to get your answer of
1/12 or 12
If you have any questions revolving around this topic,feel free to ask me :)
Please help, I've been stuck on this question for an hour!
Answer:
18 inches
Step-by-step explanation:
Why is the median better to represent the data of a stem and leaf plot? I NEED THE ANSWER NOW PLSSSS
Answer:
The median value is better because it is not affected by the skewness of the data
Step-by-step explanation:
The median is better in representing the data of a stem and leaf plot because the median value is not affected so much by outliers and skewness of the data. for example: for a downward skewed stem and leaf plot the value of the median is greater than the mean value
Hence the median value is a better representation of the central tendency
PLEEEASE HELP! TEST TMRW AND I MIGHT FAIL.
A gallon of milk costs $3 nowIf the price is increasing 10% per year, how long before a gallon of milk costs $10 a gallon? Round your answer to the nearest thousandth, and you do not need to include units
Answer:
The answer is 33 years.
Step-by-step explanation:
10% of 3 is .3
Just move the decimal to the left.
.3 times 33=9.9
9.9~10
HELP!!!! Put the following in order from greatest to least.
Answer:
A
Step-by-step explanation:
A = 9, 7, 5, -2, -6, -8
A farmer plants the same amount every day, adding up to 134 acres at the end of the year. If the year is 12 over, how many acres has the farmer planted?
fAnswer:
1608 acres
Step-by-step explanation:
total acres planted in 12 years = acres planted per year x number of years
134 x 12 = 1608
Answer:
5/6
Step-by-step explanation:
1 2/3 x 1/2 = 5/6
If a 50 kg car accelerates at a speed of 10 miles per second squared, what will the force of the car be? (Remember: Force = mass x acceleration) *
Answer:
500N
Step-by-step explanation:
Given data
Mass m= 50kg
Acceleration a= 10m/s^2
We know that the expression for the force is
F=ma
Substitute
F= 50*10
F= 500N
Hence the applied force is 500N
HELP CAN SOMEONE HELP ME MATH I'LL GIVE BRAINLIEST
Answer:
Student C wrote the correct inequality
the inequality will be less than or equal to since we want to spend (exactly) 300 or less. We only buy one jacket for 60 dollars so it will be added seperately to the total number of jackets. We are buying multiple jackets and each jacket costs $40. P = # of pants. So the inequality will look like
60 + 40P (less than or equal to symbol) 300
Hope I'm not too late :)
HELPP WORTH 30 Pts for all plz plz plz help
Answer:
1. 2ft
2. 8yd
3. 144in
4. 0.5ft
5. 18ft
6. 2640ft
7. 5280yd
8. 4.5ft
9. 4yd
10. 90in
11. 36in=3ft
p=4+5+3=12
12. 3ft=36in
2ft=24in
p=24+24+12+12+36=108
2x - 42 = 94
Solve for x
Answer:
x = 68
Step-by-step explanation:
2x - 42 = 94
Use inverse operations to add 42 to both sides of the equation.
2x - 42 + 42 = 94 + 42
Simplify this to-
2x = 136
Now divide 2x and 136 by two for-
2x/2 = 136/2
Simplify.
x = 68
The answer, then, is x = 68.
I hope this helps ^^
Good luck :]
Patricia tiene $80.000 sólo en billetes de $5.000, Camila tiene $60.000 sólo en billetes de $2.000 y Andrea tiene $120.000 sólo en billetes de $10.000. Cada una aportará la misma cantidad de dinero a un fondo para comprar un regalo a su madre, que tiene un valor de $90.000. ¿Con cuántos billetes se quedará Camila después de pagar su parte de la cuota?
Answer:
mmmm
Step-by-step explanation:
A student number system for a county requires that the student number be 5
characters. The first character is a consonant, the second through the fourth characters can be any digit but no digit can repeat and the last character must be a
letter. How many unique student numbers are possible?
546,000 student numbers
393,120 student numbers
302,400 student numbers
468,000 student numbers
Answer:
B
Step-by-step explanation:
First Character: 21 consonant
2nd 3rd and 4th: 10* 9* 8 = 720
Last Character: 26
Total Ways 21 * 720 * 26 = 393120
Sasha's grandma is going to sew this umbrella for Sasha. The umbrella is made of 4 identical triangles. If each triangle is 3 feet long and 4 feet high, how many square feet of fabric does Sasha's grandma need? Explain how you found your answer.
Answer:
Sasha's grandma will need 48 square feet of fabric to sew the umbrella.
Step-by-step explanation:
Since Sasha's grandma is going to sew an umbrella for Sasha, which will be made of 4 identical triangles, if each triangle is 3 feet long and 4 feet high, to determine how many square feet of fabric does Sasha's grandma need, the following calculation must be done:
(3 x 4) x 4 = X
12 x 4 = X
48 = X
Therefore, Sasha's grandma will need 48 square feet of fabric to sew the umbrella.
Solve for x in the diagram below (x+42)
Answer:
x = 12
Step-by-step explanation:
(x + 42)° + 3x° = 90°
x + 3x + 42 = 90
4x = 90 - 42
4x = 48
x = 12
The tires of an automobile have a diameter of 22 inches. If the wheels revolve ten times, how
far does the automobile move? (Round the result to the nearest tenth of a foot.)
need help thank u
:)
The area of the base is 1/2 x s x s = 1/2 x 12 x 12 = 72 square cm
Volume = area of base x height/3
Volume = 72 x 14/3 = 336 cm^3
.
In the hands of someone with harmful intentions, how can analogies prove to be dangerous tools?
A)Analogies can create long-lasting confusion that prevents people from making decisions.
B)Analogies make significant connections seem far less powerful than they actually are.
C)Analogies meant to persuade or influence people are often disguised as explanations.
D)Analogies, even weak and misleading ones, can be powerful tools of persuasion.
Answer:
I believe, its D.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
WHAT SHAPE IS THIS Pls send help pls
Answer: pentagonal pyramid
Step-by-step explanation:
It’s a pentagon
Answer:
the answer is A the pentagonal pyramid
Step-by-step explanation:
HELP ME NOW PLS WBAHS
Answer:
8
Step-by-step explanation:
you would add 1+3+4
Answer: The answer is 12
Step-by-step explanation: 4 x 3 x 1 just multiply all the number together
please answer this question for me
Answer:
200
Step-by-step explanation:
2*5=10
4*5=20
20*10=200
Please help me the question is in the picture and the answers are one of the below
Please help I do not know how to do this
Answer:
About 33% of students prefer chocolate icecream
Step-by-step explanation:
The actual percentage would be 35%, but none of the other answers are close enough to correct, so I'd have to say the bottom one.
hope this helps you :/
Find x. Round to the nearest tenth and only type the number for your
answer.
25
X
16
22
Answer:
10.7
Step-by-step explanation:
To find x we have to basically do pythagoream theorem twice. Both the traingles share the same long side. The find the long side of the top traingle do, [tex]a^{2} +16^{2} =25^{2}[/tex], and we find the long side to be [tex]\sqrt{369}[/tex]. Using this we now plug it into the pythagoream theorem for the bottom triangle. [tex]\sqrt{369} ^{2} +x^{2} =22^{2}[/tex], and doing this out we find that x=[tex]\sqrt{115}[/tex] or about 10.7.
HELP PLZ BRAINIEST TO WHOEVER RIGHT
Answer:
five-number summary
Step-by-step explanation: