17 m
17 m
16 m
Find the area of the isoceles triangle.
The area is
square meters.

Answers

Answer 1

9514 1404 393

Answer:

  120 m²

Step-by-step explanation:

If you divide the isosceles triangle into two right triangles, each has a leg and hypotenuse of 8 and 17, respectively. You may recognize these numbers as part of the Pythagorean triple (8, 15, 17). That recognition tells you the triangle's height is 15 m, so its area is ...

  A = 1/2bh

  A = 1/2(16 m)(15 m) = 120 m² . . . . triangle area

__

Alternate solutions

Given the three sides, you can find the smallest angle from the Law of Cosines. It will be ...

  α = arccos((17² +17² -16²)/(2·17·17)) ≈ 56.144°

Then the area is ...

  A = 1/2·ab·sin(C) . . . for triangle with sides a, b, c and opposite angles A, B, C

  A = 1/2sin(α)·17·17 = 120 . . . m²

__

Using Heron's formula:

  s = (17 +17 +16)/2 = 25

  A = √(25(25 -17)(25 -17)(25 -16)) = 5×8×3 = 120 . . . m²

__

If you need to, you can compute the triangle's height from the Pythagorean theorem.

  a² +b² = c² . . . . generic Pythagorean theorem equation

  8² + h² = 17² . . . with relevant values filled in

  h² = 289 -64 = 225

  h = √225 = 15


Related Questions

If u want to know what students think is the best season of the school year from school 76, what is the best way sample the students?

Answers

Answer:

B, it should be

Step-by-step explanation:

because its not A, because its just 7th and 8th

its not C, cause thats JUST 5th grade

its not D, because its part of a class, not the entire school.

Mark me Brainlest

NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER

Answers

Answer:

the correct answer is first graph because melting decreases by straight lines and goes down and the one you choose is not correct because you are not gonna have melting stops for a while (✿ ♡‿♡)

Select the statement that describes this expression: 5 x 3 − (2 x 4) + 5. (2 points)

a
5 more than 3 subtract the product of 2 and 4 plus 5

b
5 times the product of 2 and 4 times 3, then add 5

c
Subtract the product of 2 and 4 from the product of 5 and 3, then add 5

d
5 more than the product of 5 and 3 plus the 2 times 4

Answers

Answer:

I believe the answer is either going to be B or C

Step-by-step explanation:

Answer:

obviously C: Subtract the product of 2 and 4 from the product of 5 and 3, then add 5

Step-by-step explanation:

plz mark as brainliest!

f(x) = 3log(x + 7) - 5?

Answers

Answer:

12

Step-by-step explanation:

Simplify 3 log(x+7) by moving 3 inside the parentheses with 7.f(x)=log((x+7)3)−5

5x-27/-3=-6
Solve for x

Answers

Answer:

9

Step-by-step explanation:

5x - 27 / - 3 = - 6

5x - 27 = - 6 x ( - 3 )

5x - 27 = 18

5x = 18 + 27

5x = 45

x = 45 / 5

x = 9

The figure shown consists of a rectangle and quarter circle ?

Answers

Answer:

Can I have the numbers???

Step-by-step explanation:

Abeer sat a French test and a German test.
In the French test she scored 34 out of 50.
In the German test she scored 14 out of 20.
In which test did she do better?
You must show your working.

Answers

Answer:

German Test

Step-by-step explanation:

Find common denominator:

34/50=68/100

14/20=70/100

Therefore, Abeer did better on the German test as 14/20>34/50

pls help help help 11 points also this is mobymax

Answers

Answer: 18 + 6a + 6b

Step-by-step explanation:

Help needed , I don’t understand

Answers

Hello!

This problem is about relating parallel and perpendicular lines with a given point.

What we need to know here is that parallel lines will have equal slopes, while perpendicular lines will have opposite and reciprocal slopes.

Using this information, let's look at the first part.

We are asked to find a parallel line to the line [tex]y=6x-6[/tex] that passes through the point [tex](4,-3)[/tex].

Since we know that parallel lines have the same slope and we are given a point, we can solve for the y-intercept after setting up and equation.

[tex]y=6x+b[/tex]

[tex]-3=6(4)+b[/tex]

[tex]b=-27[/tex]

So the line would be [tex]y=6x-27[/tex].

Let's look at the second part, where we are asked to find a perpendicular line that passes through the same point.

We know that perpendicular lines have an opposite reciprocal of a slope, and using that information, we can go through the same process and solve for the equation.

[tex]y=-\frac{1}{6}x+b[/tex]

[tex]-3=-\frac{1}{6}(4)+b[/tex]

[tex]b=-\frac{7}{3}[/tex]

So the line would be [tex]y=-\frac{1}{6}x-\frac{7}{3}[/tex].

Hope this helps!

The length of one edge of a cube is 3 units. What is the volume of this cube in cubic units

Answers

Answer:

27 cubic units

Step-by-step explanation:

A cube has equal dimensions. So the volume is 3units × 3units × 3units or 27cubic units

How many DVDs would they each have if they continued the same pattern for ten ADDITIONAL weeks.​

Answers

Answer:

Step-by-step explanation:

60 and 64 :)

v ÷ 2= Algebra mathematics

Answers

Answer:

V/2 is the answer.

Step-by-step explanation:

V2 is V * 2, which is the opposite of what you want.

Find the value of the expression 4d ÷ c + 3 when c = 3 and d = 6 ​

Answers

11
Reason 4(6)divided by 3+3 =24divided by 3+3=8+3= 11

The value of the expression 4d ÷ c + 3 is 11.

What is Expression?

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Let's examine the writing of expressions.

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression.

Given:

4d ÷ c + 3

Now, for d= 6 and c= 3

we have

4d ÷ c + 3

= 4(6) / 3 + 3

= 4(2) + 3

= 8+ 3

= 11

Hence, the value of the expression is 11.

Learn more about expression here:

https://brainly.com/question/14083225

#SPJ2

answer and show proof for brainliest

Answers

Answer:

the answer is the 4th one

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

We can cross B and D out because tho it has a circle on 36, the passage said greater than or equal to meaning it will be colored in.

We can then cross C out because it said less than on 48 which mean it will not be colored in on the circle, 48

I think I found the worksheet for you

https://www.lcps.org/cms/lib/VA01000195/Centricity/Domain/2053/Answer%20Key%20%20MORE%20Review%20Sheets%20for%20Solving%20and%20Graphing%20Inequalities.pdf

Just copy and paste that to ur search bar

please help. im stuck on this one ​

Answers

Answer:

B

Step-by-step explanation:

Substitute the coordinates of the point into the left side of the equation and if the value obtained equals the right side then it is a solution.

A (- 4, 4 )

- 3(- 4) - 4 = 12 - 4 = 8 ≠ 6 ← not a solution

B (- 3, 3 )

- 3(- 3) - 3 = 9 - 3 = 6 ← this is a solution

The result is B

The new floor in the school cafeteria is
going to be constructed of square tiles that
are either gray or white and in the pattern
that appears below. What is the ratio of

Answers

Answer:

Step-by-step explanation:

18 tiles and 10 shaded in

FOR BRAINLIST!! and points

Answers

Answer:

A

Step-by-step explanation:

The answer is A. The initial weight is known so it can’t be mutipliy with a variable. We don’t know how many weeks he will lose weight, but we know that the goal is 228 and that he had planned to lose 2 pounds per week

so 2 multiply the weeks, the variable

Is the following number, rational, irrational, or nonreal?​

Answers

Answer:

Rational

√36

=6

plz mark me as brainliest

Answer:  Rational

Step-by-step explanation:  

= /36

= 6

 

Can you give me a thank you?

Two student council representatives are chosen at random from a group of 7 girls and 3 boys. Let G be the random variable denoting the number of girls chosen. What is E[G]

Answers

This question is incomplete, the complete question is;

Two student council representatives are chosen at random from a group of 7 girls and 3 boys. Let G be the random variable denoting the number of girls chosen.

a) What is E[G] or range of G

b) Give the distribution over the random variable G

Answer:

a) E[G] is [ 0, 1 , 2 ]

b)

the distribution over the random variable G.

x     P(x)

0     0.0667

1      0.4667

2     0.4667

Step-by-step explanation:

Given the data in the question;

Number to be chosen is 2

from 7 girls and 3 boys

a) range of G

number of girls can be; [ 0, 1 , 2 ]

Therefore, E[G] is [ 0, 1 , 2 ]

b) he distribution over the random variable G.

Distribution of the random variable G is Hypergeometric;

so

with P( G=g ) = P( getting g girls from 7 and 2-g boys from 3)

= (([tex]^7C_g[/tex]) × ([tex]^3C_{2-g[/tex])) / [tex]^{10}C_2[/tex]

now since, the range of G is [ 0, 1 , 2 ]

P( G=0 ) = (([tex]^7C_0[/tex]) × ([tex]^3C_{2[/tex])) / [tex]^{10}C_2[/tex]

= [(7!/(0!(7-0)!)) × (3!/(2!(3-2)!))] / (10!/(2!(10-2)!))

= [1 × 3] / 45 = 3/45 = 0.0667

P( G=1 ) = (([tex]^7C_1[/tex]) × ([tex]^3C_{1[/tex])) / [tex]^{10}C_2[/tex]

= [(7!/(1!(7-1)!)) × (3!/(1!(3-1)!))] / (10!/(2!(10-2)!))

= [ 7 × 3 ] / 45 = 21/45 = 0.4667

P( G=2 ) = (([tex]^7C_2[/tex]) × ([tex]^3C_{0[/tex])) / [tex]^{10}C_2[/tex]

= [(7!/(2!(7-2)!)) × (3!/(0!(3-0)!))] / (10!/(2!(10-2)!))

= [ 21 × 1 ] / 45 = 21/45 = 0.4667

Therefore, the distribution over the random variable G.

x     P(x)

0     0.0667

1      0.4667

2     0.4667

Rectangle MNOP with vertices M(-7, 1),
N(4, 1), 0(-4, 4), and P(-7, 4) in the line
y = -x

Answers

Answer:

 [tex]M' =(-1,7)[/tex]

[tex]N' =(-1,-4)[/tex]

[tex]O' =(-4,4)[/tex]

[tex]P' =(-4,7)[/tex]

Step-by-step explanation:

Given

[tex]M = (-7, 1)[/tex]

[tex]N = (4, 1)[/tex]

[tex]0 = (-4, 4)[/tex]

[tex]P = (-7, 4)[/tex]

Line: [tex]y = -x[/tex]

Required

The coordinates of M'N'O'P'

The rule for reflection over [tex]y=-x[/tex] is : [tex](x,y) \to (-y,-x)[/tex]

So, we have:

[tex]M = (-7, 1)[/tex]  [tex]\to M' =(-1,7)[/tex]

[tex]N = (4, 1)[/tex] [tex]\to N' =(-1,-4)[/tex]

[tex]0 = (-4, 4)[/tex] [tex]\to O' =(-4,4)[/tex]

[tex]P = (-7, 4)[/tex] [tex]\to P' =(-4,7)[/tex]

So, the points are:

[tex]M' =(-1,7)[/tex]

[tex]N' =(-1,-4)[/tex]

[tex]O' =(-4,4)[/tex]

[tex]P' =(-4,7)[/tex]

CAN SOMEONE LLEASE HELP ME IM SO LOST!!

Answers

Answer: 1324 in^2

Step-by-step explanation:

What is the value of x?

Answers

4x+2=5x-6
4x-5x=-6-2
-x=-8
x=8
I think is x 8 I am not chare

look at the figure. i’ll give you brainlest!!!

Answers

Answer:

u already got it cos x = 8f

Step-by-step explanation:

Kayli made 4 cups of soup for dinner. She ate 14 cups and her sister ate 11 cups. How much soup was left?​

Answers

Answer:

-21 cups.

Step-by-step explanation:

4-14-11=-21

the nutrition information on the cereal box says that a 1/2-cup serving provides 210 calories and 6 grams of dietary fiber. at that rate, find how many calories and grams of fiber are in a 1/3-cup serving

Answers

Answer:

140 Calories and 4 grams of dietary fiber per 1/3-cup serving.  

Step-by-step explanation:

hi you can find this by first doubling the amounts for a 1/2 cup serving

so then it is equal to a full cup serving.

and then divide those by three,

that way it will be equal to 1/3 cup serving.

so

210*2= 420 (lol)

6*2= 12

now divide these numbers by 3

420/ 3 = 140

12/3= 4

so your answers are

140 Calories and 4 grams of dietary fiber per 1/3-cup serving.

I hope this helps! Good luck!

1. A rectangle has an area of 12 m2 and a width
of 400 cm. What is the length of the rectangle?
A. 3 cm
B. 30 cm
C. 300 cm
D. 3000 cm

Answers

Answer:

L = 3 cm

Step-by-step explanation:

let lenght be L

First convert area in cm

1 m = 100 cm

12 m = 1200 cm

Area of rectangle =   width x lenght

1200 cm = 400 cm x L

1200 /400 = L

3 cm = L

question 3 and 4
- 10 points

Answers

Answer:

3. B

4. 29, 33

Step-by-step explanation:

The two triangles are similar. Determine the values of x, y, and z.

Answers

Answer:

y= 20 m

x= 15 m

z= 22 degree

Step-by-step explanation:

15+x=30 m

x=30-15

x= 15 m

z-18=40

z= 40-18

z= 22m

PLEASE NO DOWNLOADS AND PLEASE ANSWER IT QUICK

Answers

Answer:

the answer is step 2 I hope it's help

Please help!!! Solve for the m

Answers

Answer:

36°

Step-by-step explanation:

[tex]m\angle C =sin^{-1}\frac{17}{29}\\m\angle C =35.888297553\degree\\m\angle C =36\degree[/tex]

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