Answer: Approximately 137.74977 square units
===================================================
Explanation:
We can use Heron's formula to find the area of a triangle when given all three sides.
First we need the semiperimeter
s = semiperimeter
s = (perimeter)/2
s = (a+b+c)/2
s = (28+28+10)/2
s = 33
Now we can compute the area of the triangle.
[tex]A = \sqrt{s(s-a)(s-b)(s-c)}\\\\A = \sqrt{33(33-28)(33-28)(33-10)}\\\\A = \sqrt{18975}\\\\A \approx 137.74977\\\\[/tex]
4. Find x
AB
(10x-51)
DC
(6x-11)
Answer:
51/10 and 11/6
Step-by-step explanation:
10x - 51 = 0
10x = 51
x = 51/10
6x - 11 = 0
6x = 11
x = 11/6
2y-6=3y+5
find the value of y
Answer:
[tex]\boxed{\sf{y=-11}}[/tex]Step-by-step explanation:
GIVEN:
To find the value of y, isolate it on one side of the equation.
2y-6-3y+5
Solutions:
First, add by 6 from both sides.
2y-6+6=3y+5+6
Solve.
Add the numbers from left to right.
5+6=11
2y=3y+11
Then, you subtract by 3y from both sides.
2y-3y=3y+11-3y
Solve.
-y=11
Divide by -1 from both sides.
-y/-1=11/-1
Solve.
Divide these numbers goes from left to right.
11/-1=-11
[tex]\Longrightarrow: \boxed{\sf{y=-11}}[/tex]
Therefore, the final answer is y=-11.I hope this helps. Let me know if you have any questions.
Help please with this question
Answer:
5
Step-by-step explanation:
in each sample there were 50 students, in a group of 800 there would be 16 samples taken, if you divide the total amount of kids with Novemeber birthdays, 80 by the amount of samples, 16, youll learn that in each sample there are 5 students to have a birthday in november within each sample, hope this helps.
How is the base of the cylinder related to the base of the cone?
their booth 4'
How are the heights of the cylinder and the cone related? their both 3'
Find the volume of the cylinder. Write your answer in terms of pi.
simplify tan(a)/sin (2a)
Answer:
[tex]\frac{sec^2(a)}{2}[/tex]
Combine the terms through trigonometric identity and simplify, this should be your answer(not the actual result of the problem, just the simplified expression).
Answer:
Step-by-step explanation:
The rule is generally to reduce anything that isn't a sin(theta) or cos(theta) down to those two.
Givens
Tan(a) = sin(a) / cos(a)
sin(2a) = 2 sin(a)*cos(a)
Solution
Tan(a)/Sin(2a) = sin(a) / cos(a) // 2 sin(a) * cos(a) / 1 Invert and multiply
Tan(a)/Sin(2a) = sin(a) / cos(a) * 2 sin(a) * cos(a) Cancel and combine
Answer: Tan(a)/sin(2a) = 1 / (2* cos^2(a))
I need help with this
Answer:
144 ft³
Step-by-step explanation:
This "irregular shape" is a composite shape that can be considered to be any of these compositions:
extending the middle horizontal surface cuts the shape into two blocks: upper left: 2 ft high, 3 ft wide, 6 ft deep; and lower: 2 ft high, 9 ft wide, and 6 ft deep.extending the middle vertical surface cuts the shape into two blocks: left: 4 ft high, 3 ft wide, and 6 ft deep; and right: 2 ft high, 6 ft wide, and 6 ft deep.A larger block with a smaller block cut out of the upper left: larger block: 4 ft high, 9 ft wide, and 6 ft deep; cutout: 2 ft high, 6 ft wide, and 6 ft deep.The volume of any one of these blocks is the product of height, width, and depth. The above decompositions are evaluated here.
1.V = HWD
V = (2 ft)(3 ft)(6 ft) +(2 ft)(9 ft)(6 ft) = 36 ft³ + 108 ft³ = 144 ft³
__
2.V = (4 ft)(3 ft)(6 ft) +(2 ft)(6 ft)(6 ft) = 72 ft³ +72 ft³ = 144 ft³
__
3.V = (4 ft)(9 ft)(6 ft) -(2 ft)(6 ft)(6 ft) = 216 ft³ -72 ft³ = 144 ft³
Travis must use 144 ft³ of concrete to make the block.
Jodi's car used 12 gallons of gas to travel 456 miles. How many miles did her car travel per gallon of gas?
Answer:
38
Step-by-step explanation:
If there is a constant rate of change in gas prices, all we do is divide 456 by 12 to see the price of each gallon.
Answer:
38
Step-by-step explanation:
456 divided by 12 =38.
Order the numbers from least to greatest. 0.3, 9/25, 33%, 0.35
Answer:
0.3(least)
0.33
0.35
0.36(greatest)
Step-by-step explanation:
Okay, so first we need to have all of our numbers in the same category of variable. So first, we will convert 9/25 to a decimal.
To do that, we must divide 9 by 25 to get our answer of 0.36.
Now, we will convert the 33% to a decimal by dividing it by 100 to get 0.33
We now have our list, which should be ordered as:
0.3
0.33
0.35
0.36
Given the regular polygon, what is the measure of each numbered angle?
Answer:
Answer A
Step-by-step explanation:
Approach 1
B, C, and D are wrong because angles 1 and 2 are congruent.
Therefore your answer of both being 60°
Approach 2
Let x = angle 1.
360/x = 6
x = 60°.
Therefore Angle 1 is 60°
An interior angle of a hexagon is 120°
Let y = angle 2.
y is half of 120°
So 120/y = 2
y = 60°
solve for x ～
[tex]14x - 196 = 0[/tex]
thankyou! :)
Answer:
x = 14
Step-by-step explanation:
14x - 196 = 0
14x = 0 + 196
14x = 196
x = 196 ÷ 14
x = 14
[tex]14x - 196 = 0 \\ \\ \implies14x = 0 + 196 \\ \\ \implies 14x = 196 \\ \\ \implies \: x = \frac{196}{14} \\ \\ \implies \: x = 14[/tex]
Therefore the required value of "x" will be 14.Hope it helpsPLEASE HELP CORRECT ANSWER GETS BRAINLY
Answer:
[tex]7.21\ units[/tex]
Step-by-step explanation:
Start by giving the points coordinate points assuming the origin is the bottom left:
[tex]A(4,2)\\B(10,6)[/tex]
Apply the formula for the distance between two points:
[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]d = \sqrt{(10-4)^2+(6-2)^2}[/tex]
[tex]d = \sqrt{6^2+4^2}[/tex]
[tex]d = \sqrt{36+16}[/tex]
[tex]d = \sqrt{52}[/tex]
[tex]d = 7.21\ units[/tex]
Answer:
7.22 units
Step-by-step explanation:
Using Pythagorean Theorem
AB = √6² + 4²AB = √36 + 16AB = √52AB = 2√13AB = 2 × 3.61AB = 7.22 unitsThe diameter of a circle is 3 in. Find its area to the nearest hundredth.
Answer:
Step-by-step explanation:
7.07 in2.
Describe the spread, center, and shape of the data distribution.
Answer:
Free point 3 weeks ago.
Step-by-step explanation:
Ellie is buying a camera for $615.50 and a camera bag is $65.50. If the sales tax rate is 8%, what will be the amount of sales tax on Ellie's purchase? A) $35.26 B) $40.58 C) $54.48 D) $58.72
Answer:
C: $54.48
Step-by-step explanation:
--> 615.50 + 65.50 = $681.00 or $681
--> 8% of $681 is $54.48
Hope this helped! :D
During the first half of a basketball game, a team made 50% of their 40 field goal attempts. During the
second half, they scored on only 40% of 30 attempts from the field. What was their field goal shooting
percentage for the entire game?
The answer maybe 5%
The coach of a baseball team buys 7 bats and 6 balls for $3800. Later, she buys
3 bats and 5 balls for $1750. Find the cost of each bat and each ball
Determine the interval(s) on the function that is increasing in the picture I attached
(–∞, –1) ∪ (1,∞)
(–1, ∞)
(–∞, 0) ∪ (1, ∞)
(0, 1)
Answer:
(–∞, 0) ∪ (1, ∞)
Step-by-step explanation:
From (0, 1) the graph goes down, or decreases. From (–∞, 0) ∪ (1, ∞) the graph goes up, or increases.
I hope this helps!
The function increases where the slope is positive.
The graph starts out by increasing: -infinity
The graph switches to decreasing at x = 0
The graph switches to increasing at x = 1
The graph increases until infinity
(-infinity, 0) U (1, infinity)
Correct Answer: Option 3
Hope this helps!
What is the lateral surface area of this right pyramid with a square base?
Answer:
The lateral surface area of a square pyramid is the sum of the areas of the side faces only, whereas the surface area is the lateral area + area of the base. The lateral area of a square pyramid = 2al (or) 2a√[(a 2 /4) + h 2]. To get the surface area, we need to add the area of the base (which is a 2) to each of these formulas.The surface area of a square pyramid = a 2 + 2al (or) a 2 + 2a[(a 2 /4) + h 2]. where, a = Length of the base (square) l = slant height; h = height of the pyramid.
Step-by-step explanation:
hope this helps if not let me know have a great day :)
Find the radius of a regular hexagon with perimeter 48 units
Hey can I get some help real quick
Answer: sure, with what though?
Step-by-step explanation:
Hank has 50 peso, 200 peso and 500 peso bills in his wallet. He has five less 200 bills as 50 bills, and half as many 500 bills as 200 bills. If he has Php 6250 in all, how many of each denomination does he have?
For an amount of 6250 Peso, Hank have the quantities of the following denominations: 2503 bills of 50 peso, 2498 bills of 200 peso and 1249 bills of 500 peso.
How to apply systems of linear equations in real life equations
In this question we must translate the statement of the problem into mathematical expressions and then we must solve the resulting system. We need three equations that describe the quantities of 50 peso, 200 peso and 500 peso bills:
y = x - 5 (1)
0.5 · y = z (2)
x + y + z = 6250 (3)
The solution of the system of linear equations is described below:
x = 2503, y = 2498, z = 1249
For an amount of 6250 Peso, Hank have the quantities of the following denominations: 2503 bills of 50 peso, 2498 bills of 200 peso and 1249 bills of 500 peso. [tex]\blacksquare[/tex]
To learn more on systems of linear equations, we kindly invite to check this verified question: https://brainly.com/question/20379472
Suppose that we have this spinner. What is the probability of landing on 2 after landing on 5?
25%
4%
10%
.2%
There are 5 numbers and only one of each number.
The probability of landing in 5 would be 1/5
The probability of landing in 2 would be 1/5
The probability of landing on 5 then 2 is 1/5 x 1/5 = 1/25 = 0.04 = 4%
answer = 4%
Answer:
Answer above is correct.
Step-by-step explanation:
Nemo's fish store has 12 tanks of clownfish: each tank holds 30 fish. He collects
and inspects 5 fish from each tank and finds that 3 fish have fin rot find the estimated number of
clownfish in the store that have fin rot.
The estimated value is given by the expected value. The estimated number of clownfish in the store that have fin rot will be 216.
How to find that a given condition can be modeled by binomial distribution?Binomial distributions consist of n independent Bernoulli trials.
[tex]X \sim B(n,p)[/tex]
Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as
The expected value of X is:
[tex]E(X) = np\\[/tex]
Nemo's fish store has 12 tanks of clownfish: each tank holds 30 fish.
He collects and inspects 5 fish from each tank and finds that 3 fish have fin rot
Then the estimated number of clownfish in the store that have fin rot.
The number of the clownfish in the store will be
n = 12 × 30
n= 360
Then the value of p will be
[tex]p= \dfrac{3}{5}\\\\p = 0.6[/tex]
Then the estimated number of clownfish in the store that have fin rot will be given by the expected value. Then we have
[tex]E(X) = 360 \times 0.6\\\\E(X) = 216[/tex]
Learn more about binomial distribution here:
https://brainly.com/question/13609688
#SPJ1
Answer:
Binomial distributions consist of n independent Bernoulli trials.
Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as
The expected value of X is:
Nemo's fish store has 12 tanks of clownfish: each tank holds 30 fish.
He collects and inspects 5 fish from each tank and finds that 3 fish have fin rot
Then the estimated number of clownfish in the store that have fin rot.
The number of the clownfish in the store will be
n = 12 × 30
n= 360
Then the value of p will be
Then the estimated number of clownfish in the store that have fin rot will be given by the expected value. Then we have
Step-by-step explanation:
Discuss the order of operations
Answer:
The answer can be found below.
↓↓↓↓
Step-by-step explanation:
[tex]\Large\boxed{\underline{\text{ORDER OF OPERATIONS:}}}[/tex]
If you need to determine the order of operations, use PEMDAS or BODMAS, which stands for:
[tex]\underline{\text{GIVEN:}}[/tex]
PEMDAS:
Parentheses ⇒ (3+4)Exponents ⇒ 3²Multiply ⇒ 8*4Divide ⇒ 12÷4Add ⇒ 6+6Subtract ⇒ 10-5BODMAS:
BracketsOrderDivideMultiplyAddSubtractI hope this helps, let me know if you have any questions.
9. Arianna has two piles of newspapers
to take to recycling. The first pile
weighs 10 pounds 7 ounces. The
second pile weighs 148 ounces. What
is the total weight of the newspapers?
A. 19 pounds 11 ounces
B. 22 pounds 11 ounces
C. 25 pounds 3 ounces
D. 29 pounds 3 ounces
Answer:
(D) 29 pounds 3 ounces
Step-by-step explanation:
1 pound = 16 ounces
Therefore 10 pounds = 16 * 10 = 160 ounces
160 + 7 = 167 ounces (first pile)
Total Weight of Newspapers = Weight of First Pile + Weight of Second Pile
= 167 + 148 = 315 ounces
As 16 ounces = 1 pound
1 ounce = 1/16 pound
315 ounces = (1/16) * 315 = 19.6875 pounds
1 pound = 16 ounces
0.6875 pounds = 16 * 0.6875 = 11
19 + 11 = 30 pounds, which is close to ans (D)
PLEASE HELP FIND THE AREA ILL GIVE BRAINLIESTTTT
Answer:
638.4
Step-by-step explanation:
You could make 2 triangles (One on each side)
91.2*7=638.4
You could cut this in half, but it would be pointless as you are going to add it back again.
Use the Law of Cosines to solve the triangle. (Round your answers to two decimal places.)
a = 20, b = 5, c = 17
A =
B =
C =
Please answer the first question
Answer:
12 inches
Step-by-step explanation:
Given
Volume = 763 cubic inchesDiameter = 9 inches ⇒ Radius = 9/2 inchesFormula for Volume of a Cylinder
V = πr²hSolving
763 = 3.14 x (9/2)² x h763 = 3.14 x 81/4 x h763 = 3.14 x 20.25 x h763 = 63.585hh = 11.99 ≅ 12 inchesAnswer:
The height is 12 inches
Step-by-step explanation:
Step 1: Determine the knowns a formula
[tex]Volume = 764\ in^3[/tex]
[tex]Diameter = 9\ in[/tex]
[tex]Formula: V = \pi r^2h[/tex]
Step 2: Input the values and solve
[tex]V = \pi r^2h[/tex]
[tex]764\ in^3 = \pi (9/2\ in)^2h[/tex]
[tex]764\ in^3 = \pi (20.25\ in^2)h[/tex]
[tex]764\ in^3 =63.617\ in^2 * h[/tex]
[tex]\frac{764\ in^3}{63.617\ in^2} = \frac{63.617\ in^2 * h}{63.617\ in^2}[/tex]
[tex]12.0\ in = h[/tex]
Answer: The height is 12 inches
Brad and Angelina can mow their yard together with two lawn mowers in 20 min
. When Brad works alone, it takes him 30 min. How long would it take Angelina to mow the lawn by herself?
It takes Angelina_______ min to mow the lawn by herself.
Answer:
Let A = Angelina's timeLet
B = Brad's time 20
(1/A + 1/B) = 1 B = 30 20(1/A + 1/30) = 11/A + 1/30 = 1/201/A = 1/20 -1/301/A = 1/60A = 60 minutes for Angelina to do the lawn alone
Step-by-step explanation:
I hope this helped :)
PLEASE I NEED HELP ASAP
An electrician charges $80 for a house visit and $70 per hour. If the electrician gets paid $430, how many hours did he stay at your house?