Find the lateral area and surface area of the following figure
Round to the nearest hundredth if necessary
Answers
Answer:
lateral surface area of cone =πrl=3×8.5π=80.11in²
total surface area of cone =πr(r+l)=π×3(3+8.5)=108.38in²
Related Questions
You and your friend are standing back-to-back. Your friend runs 14 feet forward and then 7 feet right. At the same time, you run 10 feet forward and then 11 feet right. You stop and throw a baseball to your friend, who catches it. How far did you throw the baseball?
Answers
Answer:
30.52 feet.
Step-by-step explanation:
Question 1 of 20 Multiply. (4x - 5)^2
A. 16x2 - 25
B. 16x2 - 40x + 25
C. 16x2 + 20x + 25
D. 16x2 + 40x+ 25
Answers
Multiply the equation by itself.
(4x - 5)(4x - 5)
Start by multiplying 4x by 4x.
Move on to multiplying 4x by -5.
Multiply -5 by 4x.
Multiply -5 by -5.
16x^2 - 20x - 20x + 25
Combine like terms.
16x^2 - 40x + 25
Answer: B
Answer:
B) 16x² - 40x + 25
Step-by-step explanation:
1) Use square differences: (a - b)² = a² - 2ab + b².
[tex](4x)^{2} - 2 \times 4x \times 5 + {5}^{2} [/tex]
2)Use Multiplication Distributive Property: (xy)^a = x^a y^a.
[tex] {4}^{2} {x}^{2} - 2 \times 4x \times 5 + {5}^{2} [/tex]
3) Simplify 4² to 16.
[tex]16 {x}^{2} - 2 \times 4x \times 5 + {5}^{2} [/tex]
4) Simplify 5² to 25.
[tex]16 {x}^{2} - 2 \times 4x \times 5 + 25[/tex]
5) Simplify 2 × 4x × 5 to 40x.
[tex] {16x}^{2} - 40x + 25[/tex]
Thus, the Anwer is Option B) 16x² - 40x + 25 .
An owner of a small store knows that in the last week 54 customers paid with cash, 42 paid with a debit card, and 153 paid with a credit card. Based on the number of customers from last week, which is closest to the probability that the next customer will pay with cash? (Round the answer to the nearest hundredth.)
Answers
Answer:
2268
Step-by-step explanation:
Which quadratic function in vertex form can be represented by the graph that has a vertex at (3, -7) and passes through the point (1, -10)?
Answers
up
Write an equation for the translation of x2 + y2 = 49 by 3 units left and 4 units
O(x + 3)2 + (y + 4)2 = 49
O(x + 3)2 + (y – 4)2 = 49
O(x – 3)2 + (y – 4)2 = 49
O(x – 3)2 + (y + 4)2 = 49
Answers
Answer: (x+3)^2+(y-4)^2=49
The answer is b :)
Step-by-step explanation:
HELP HELP ASAP ASAP WILL MARK BRAINLIEST
ANSWER BOTH PLEASE EASY POINTS
Answers
Answer:
1.) Hypotenuse.
The hypotenuse is the longer side.
2.)Leg
Answer:
1.) Hypotenuse
2.) Leg
Step-by-step explanation:
The legs or bases of a triangle are the sides connected to the right angle.
The hypotenuse is the side across from the right angle and is always the longest side.
Mary has $15.63 left in her wallet after spending $8.01 on snacks. How much did she have in her wallet before she bought the snacks? (Do not put the $ sign in your answer. Just type the amount without the $ sign.
Answers
Am I right please tell me I really NEED IT
Answers
Answer:
it would 13
Step-by-step explanation:
19-6=13 there you go
Factor the expression: -30x - 15
Answers
Answer:
Factored expression: -15 (2x + 1)
Madjeen jogs around the pond by her house twice a day. In the morning, she jogs $3.5$ laps around the pond. In the evening, she jogs $1$ lap around the pond. Madjeen jogs a total of $5.4$ miles. Write and solve an equation to find out how many miles are in each lap around the pond.
Answers
Answer:
1.2 miles
Step-by-step explanation:
Morning laps = 3.5 laps
Evening laps = 1 lap
Total miles jogged = 5.4 miles
Total laps made = (3. 5 + 1) = 4.5 miles
Number of miles per laps covered :
Total miles jogged / number f lapses hugged around pond.
= 5.4 miles / 4.5
= 1.2 miles
Therefore, number of miles per round around the pond is 1.2 miles
Meeta buys a ticket for the movie and a popcorn, which costs $6. She spends $16.50 in all. How much was the movie ticket?
Answers
Answer:
10.50
Step-by-step explanation:
16.50-6
Please help I would appreciate it
Answers
Answer:
Lower and upper quartiles(B)
Step-by-step explanation:
In QRS the measure of S=90, the measure of Q=29 and SQ=5 feet. find the length of QR to the nearest tenth.r
Answers
Answer:
QR ≈ 5.7 ft
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos29° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{QS}{QR}[/tex] = [tex]\frac{5}{QR}[/tex] ( multiply both sides by QR
QR × cos29° = 5 ( divide both sides by cos29° )
QR = [tex]\frac{5}{cos29}[/tex] ≈ 5.7 ( to the nearest tenth )
complete the tables of values
Answers
Answer:
a=0
b=-8
c=-16
d=0
e=-3
f=-6
Step-by-step explanation:
Every day, the Clark Pet Store uses 1 1/2 bags of dog food to feed the dogs. How many days will 7 1/2 bags of dog food last?
Write your answer as a fraction or as a whole or mixed number.
Answers
the composite figure is made up of three simpler shapes? what is the area of the figure
Answers
Answer:
B. 68 square cm
Step-by-step explanation:
0.5 x 6 x 5 = 15
5 x 7 = 35
9 x 2 = 18
15+35+18 =68
Find equations of two lines that cross at the point (2,7) & explain how you got the answer
Answers
A gift box has the shape of a cube. The box is 75 cm tall.
What is the volume of the box?
A.225 cm³
B.5625 cm³
C.33,750 cm³
D.421,875 cm³
plz explain how you got it-
Answers
Help! With this math problem
Answers
Answer:
Its C
Step-by-step explanation:
Simplify the expression below.
4x+ 3(2x−1) − 4x
Answers
Answer:
=6x−3
Step-by-step explanation:
Let's simplify step-by-step
4x+3(2x−1)−4x
Distribute:
=4x+(3)(2x)+(3)(−1)+−4x
=4x+6x+−3+−4x
Combine Like Terms:
=4x+6x+−3+−4x
=(4x+6x+−4x)+(−3)
=6x+−3
Answer:
6x - 3
Step-by-step explanation:
4x + 3(2x - 1) - 4x
Distribute, multiply every term inside the parenthesis by the term outside of it,
4x + (3)(2x) + (3)(-1) - 4x
Simplify,
4x + 6x - 3 - 4x
Simplify further, combine like terms,
6x - 3
!!PLEASE ANSWER QUICK
use the two way table to answer the question.
what percentage of students are studying spanish?
Answers
Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AD =4, BD =6, what is the length of DC
Answers
Answer:
[tex]AC=5[/tex]
Step-by-step explanation:
From the question we are told that:
Dimensions
[tex]AD=4\\BD=6[/tex]
Generally the equation for these similar right triangle is mathematically given by
[tex]\frac{AC}{AB}=\frac{AB}{AD}=\frac{BC}{BD}[/tex]
[tex]\frac{AC}{AB}=\frac{AB}{AD}[/tex]
Where
[tex]AD=x[/tex]
[tex]AC=x+4[/tex]
Therefore
[tex]AB^2=x(x+4)[/tex]
Generally the Pythagoras equation for [tex]\triangle[/tex]ADB is mathematically given by
[tex]AB^2=BD^2+AD^2[/tex]
[tex]x(x+4)=4+x^2[/tex]
[tex]x(x+4)-(4+x^2)=0[/tex]
[tex]x^2+4x)-(4+x^2)=0[/tex]
[tex]4x-4=0[/tex]
[tex]x=1[/tex]
Therefore
[tex]AC=x+4[/tex]
[tex]AC=1+4[/tex]
[tex]AC=5[/tex]
Pete pumps water into an empty pool. After 8 minutes, there are 40 gallons o water in the pool. Use the coordinate plane provided to plot two points that can be used to represent the relationship between time, x, and the total amount of water, y, in the pool. Select the places on the coordinate plane to plot the points
Answers
Answer:
(2,10) (4,20) (6,30) (8, 40)
Step-by-step explanation:
every minute, the pool fills up with 5 gallons.
if you look at the points, you will see a pattern
Can someone help me please
Answers
Answer:
It's 28
Step-by-step explanation
Perimeter refers to the distance around 2-D figure and calculate perimeter, add the side lengths of the figure
True or false
Answers
Answer:
True
Step-by-step explanation:
The perimeter is the combined length of all the side lengths of a figure.
Do you know this??
I’m confused
Answers
Answer:
1: B
2: A
3: D
4: C
Step-by-step explanation:
In order to find the unit rate you have to divide the first number by the second number. You divide the first number because it is the gallons you are trying to find PER minute. In this case you are dealing with fractions which means you have to multiply the first number by the reciprocal of the second number.
Example 1:
3/4 ÷ 1/2
3/4 x 2/1
= 3/2
= 1 1/2
Example 2:
1 1/2 ÷ 1/2
3/2 ÷ 1/2
3/2 x 2/1
= 6/2
= 3
Please help me with this math problem
Answers
7.73 , 5.4332 , 7.7 , 7.703 from least to greatest
Answers
Answer:
5.4332, 7.7, 7.03, and then 7.73
Answer: 5.4332, 7.7, 7.703, 7.73
Please Help Me!!! What is 81y + 54
Answers
Answer:
2
Step-by-step explanation:
y
Write the system of equations as a matrix equation AX=B, with A as the coefficient matrix of the system.
Please help!
Answers
Answer:
[tex]\left[\begin{array}{ccc}1&2\\6&7\end{array}\right]\cdot \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}0\\-10\end{array}\right][/tex]
Step-by-step explanation:
The system of equation in matrix form is defined by following vector formula:
[tex]\vec A \cdot \vec x = \vec b[/tex] (1)
Where:
[tex]\vec A[/tex] - Matrix of coefficients.
[tex]\vec x[/tex] - Column vector of variables.
[tex]\vec b[/tex] - Column vector of results.
If we know that [tex]x + 2\cdot y = 0[/tex] and [tex]6\cdot x + 7\cdot y = -10[/tex], then the system of equations in matrix form is:
[tex]\vec A = \left[\begin{array}{ccc}1&2\\6&7\end{array}\right][/tex], [tex]\vec x = \left[\begin{array}{ccc}x\\y\end{array}\right][/tex], [tex]\vec b = \left[\begin{array}{ccc}0\\-10\end{array}\right][/tex]
Then,
[tex]\left[\begin{array}{ccc}1&2\\6&7\end{array}\right]\cdot \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}0\\-10\end{array}\right][/tex]