The sides of an isosceles triangle are28 ,28 ,10 and long. What is the area of the triangle?

Answers

Answer 1

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]


Related Questions

Discuss the order of operations

Answers

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 ⇒ 10-5

BODMAS:

BracketsOrderDivideMultiplyAddSubtract

I hope this helps, let me know if you have any questions.

simplify tan(a)/sin (2a)

Answers

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))

The diameter of a circle is 3 in. Find its area to the nearest hundredth.

Answers

Answer:

Step-by-step explanation:

7.07 in2.

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.

Answers

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 :)

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

Answers

The answer would be (C) $54.48. This is because if you add $615.50 and $65.50, that equals $681. And 8% of $681 is $54.48. Hope this helps! Have a great rest of your day.

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

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?

Answers

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

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?

Answers

The answer to your question is 5 hours

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

Answers

Each bat is 500 and each ball is 50

4. Find x
AB
(10x-51)
DC
(6x-11)

Answers

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

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 =

Answers

on the same question let me know when you find the answer

Suppose that we have this spinner. What is the probability of landing on 2 after landing on 5?

25%

4%

10%

.2%

Answers

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:

I need help with this

Answers

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.

Please answer the first question

Answers

Answer:

12 inches

Step-by-step explanation:

Given

Volume = 763 cubic inchesDiameter = 9 inches ⇒ Radius = 9/2 inches

Formula for Volume of a Cylinder

V = πr²h

Solving

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 inches

Answer:

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

Help please with this question

Answers

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.

solve for x ~
[tex]14x - 196 = 0[/tex]

thankyou! :)​

Answers

Answer:

x = 14

Step-by-step explanation:

14x - 196 = 0

14x = 0 + 196

14x = 196

x = 196 ÷ 14

x = 14

Hey there!

[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 helps

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

Answers

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)

Hey can I get some help real quick

Answers

Answer: sure, with what though?

Step-by-step explanation:

What is the lateral surface area of this right pyramid with a square base?

Answers

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 :)

Jodi's car used 12 gallons of gas to travel 456 miles. How many miles did her car travel per gallon of gas?

Answers

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.

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.

Answers

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:


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?

Answers

The answer maybe 5%

Order the numbers from least to greatest. 0.3, 9/25, 33%, 0.35

Answers

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

Describe the spread, center, and shape of the data distribution.​

Answers

Do you really feel fly is true religion

Answer:

Free point 3 weeks ago.

Step-by-step explanation:

PLEASE HELP CORRECT ANSWER GETS BRAINLY

Answers

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 units

2y-6=3y+5
find the value of y

Answers

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.

Given the regular polygon, what is the measure of each numbered angle?​​

Answers

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°

Find the radius of a regular hexagon with perimeter 48 units

Answers

6 is the area

Your welcome :)

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.​

Answers


Answer: V=πr2h

    How is the base of the cylinder related to the base of the cone? 
Do you see it? (A°/360°)*2s is a part of the circumference of the circle with radius s that is the base of the cone. It is equal to 2r, which is the circumference of the cylinder.

How are the heights of the cylinder and the cone related?
    The height of the cone is the length h of the straight line from the cone's tip to the center of its circular base. Both ends of a cylinder are circles, each of radius r. The height of the cylinder is the length h between the centers of the two ends.

How do you find the volume of a cylinder given the base and height?
The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm. Substitute 8 for r and 15 for h in the formula V=πr2h . Simplify.

I hope this helps! :)

Determine the interval(s) on the function that is increasing in the picture I attached


(–∞, –1) ∪ (1,∞)
(–1, ∞)
(–∞, 0) ∪ (1, ∞)
(0, 1)

Answers

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!

PLEASE HELP FIND THE AREA ILL GIVE BRAINLIESTTTT

Answers

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.

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