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

What is the slope of the line represented by the equation y=-} - 5x?
0 -5
win win i
2
3
o
2
05

Answers

Answer:

Hi! The answer to your question is A. [tex]-5[/tex]

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

The slope of the line represented by the equation y= -2/3 - 5x is -5.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

We have,

y= -2/3 - 5x

We know from slope intercept form

y= mx + b

Where m is the slope and b is the y intercept.

Now, Comparing with given equation we get

m = -5 and b= -2/3

Thus, the slope of line is -5.

Learn more about Slope here;

https://brainly.com/question/3605446

#SPJ7

The quotient of a numberpo, and five
Please help

Answers

Answer:

x over 5 or x divided by 5

Step-by-step explanation:

x over 5 : [tex]\frac{x}{5}[/tex]

x divided by 5 : x ÷ 5

Will mark brainliest :) Given vectors u = -9i + 8j and v = 7i + 5j find 2u -6j in terms of unit vectors i and j
(answer choices below vv)

Answers

Answer:

the answer is option number b..

Please help asap will give brainliest

Answers

Answer:

I cant see the choices

Step-by-step explanation:

Name the axis of symmetry for y=(x-5)^2+1

Answers

x=5 would be the axis of symmetry

Mrs. Stancil is planning to use
wrapping paper to cover a gift box that is the
shape of a rectangular prism with dimensions of
3ft by 4ft by 5ft. If the wrapping paper costs
S0.05 per square foot, how much will it cost?

Answers

Answer:

4.70

Step-by-step explanation:

there are 6 sides on a box

2 sides are 12 square feet (3*4), 2 sides are 15 square ft (3*5), and 2 sides are 20 square ft (4*5)

12*2+15*2+20*2=24+30+40=94 square feet

if each square foot costs $0.05 (I think that's what it says) then you would do 94*0.05= $4.70

so, your answer is $4.70

Not sure if this is right, but I tried

2. Designer Dolls, Inc. found that the number N of dolls sold varies directly with their
advertising budget A and inversely with the price P of each doll. The company sold 5400 dolls
when $20,000 was spent on advertising and the price of a doll was set at $50. Determine the
number of dolls sold when the amount spent on advertising is increased to $52,000. Round to
the nearest whole number
A. 14,040 dolls
C. 2,782 dolls
B. 1,070 dolls
D. 5.400 dolls

Answers

Answer:

c

Step-by-step explanation:

just is

There are 25 students. Four of these students are selected to attend four different conferences. The first student selected will go to

a conference in Makati city, the second will go to Paranaque city, the third to Quezon city and the fourth to Caloocan city. How

many such selections are possible?

256

12,650

303,600

390,625

Answers

Answer:

the number of possible selection is 12650

Option b) 12650  is the correct answer.

Step-by-step explanation:

Given the data in the question;

total number of students n = 25

number of student selected r = 4

[tex]^nC_r[/tex] = ²⁵C₄

= 25! / ( 4!( 25 - 4 )! )

= 25! / (4!(21)!)

=  12650

Therefore, the number of possible selection is 12650

Option b) 12650  is the correct answer.

Can someone please help me I will mark u brilliant

Answers

Answer:

I believe the answer is 3 3/4.

Step-by-step explanation:

the volume of a rectangular prism is length × width × height

Answer: The volume is 3 3/4 cubic inches.

Step-by-step explanation:

V= l*w*h

V= 1 1/4* 1 1/2*2

v= 3 3/4

A plane flies 450 miles with the wind, and 350 miles against the wind (in the same amount of time). If the wind is blowing at 30 mph, how fast would the plane be going without air helping/hurting?​

Answers

Answer: = 240 mph.

Step-by-step explanation:

Let x = speed of the plane.

t= time taken

As per given, we have

[tex]t=\dfrac{450}{x+30}\ \ \ ...(i)\\\\ t=\dfrac{350}{x-30}\ \ \ ...(ii)[/tex]    [Time = distance / speed]

From (i) and (ii), we get

[tex]\dfrac{450}{x+30}=\dfrac{350}{x-30}\\\\\Rightarrow\ 450(x-30)=350(x+30)\\\\\Rightarrow\ 450x-13500=350x+10500\\\\\Rightarrow\ 450x-350x=10500+13500\\\\\Rightarrow\ 100x=24000\\\\\Rightarrow\ x=240[/tex]

Hence, the speed of the plane = 240 mph.

Solve for the following by
FACTORING:
x2 + 11x + 28 = 0

Answers

Step-by-step explanation:

(x+7)(x+4)

x = -4 and -7

have a nice night

Answer:

Alternate forms:

(x + 4) (x + 7) = 0

(x + 11/2)^2 - 9/4 = 0

Solutions:

x = -7

x = -4

Step-by-step explanation:

HOPE THIS HELPSSS

I WILL MARK BRAINLIEST! NO LINKS OR IMAGES.

Conducting a survey best fits which step of the statistical process?

Form a question that can be answered by data.
Design and implement a plan that collects data.
Analyze the data using graphical and numerical methods.
Interpret and compare the data.

Answers

Answer:

Design and implement a plan that collects data.

Step-by-step explanation:

Answer:

Design and implement a plan that collects data.

Step-by-step explanation:

Looking at the answer choices, we can use the process of elimination:

1) Form a question that can be answered by data.

2) Design and implement a plan that collects data.

3) Analyze the data using graphical and numerical methods.

4) Interpret and compare the data.

1) The question is most likely already formed, as a survey cannot be conducted without a question or objective. Not 1.

2) A survey collects data.

3) This happens after the collection of data, or the survey. Not 3.

4) This also happens after the collection of data, or the survey. Not 4.

angela is seeking a venue for her school’s athletic council banquet.Primo Banquet Hall charges $2000 plus $50 per person.The Lookout Banquet Hall charges $1500 plus $75 per person.
a)write an equation to represent each banquet hall
b)when do both halls charge the same amount
c)which hall should angela choose?explain indicating intervals

Answers

I think answer is B...

plz help meeeeeeeeeeeeeee

Answers

Answer:

A

Step-by-step explanation:

Answer:
A


Step-by-step explanation:

HELPPP PLEASE HELP A GIRL OUT

Answers

Answer:

I am guessing A or C.

Step-by-step explanation:

Hope this helps you :)

What is sin49° to the nearst tenth

Answers

Answer:

The sin of 49 degrees is 0.75471.

Step-by-step explanation:

To obtain 49 degrees in radian multiply 49° by  pi/ 180° = 49/180pi. Sin 49degrees = sin (49/180 × pi) .

Sherrie just registered for her wedding. So far 6 items have been purchased from her list. Find the MEAN price of the purchased items.

$29, $58, $15, $129, $75, $22

**Round to the nearest tenths EX. 18.6**

Answers

Answer:

54.6

Step-by-step explanation:

29+58+15+129+75+22= 328

328÷6= 54.6666666667

round to the nearest tenth= 54.6

5. Carlotta's Beauty Supply store sells two brands of bar soap. A 6 pack of Brand A costs
$6.78 and an 8 pack of Brand B costs $8.40. What brand is the better buy?

Answers

I think it would be be because you’re actually saving a little bit more amount of money you’re paying a dollar and would say two cent for each bar

find the difference between the place value of: 6 in 6,15,265​

Answers

Answer:

6,15,265=lakh

6,15,265=tens

hope it helps.

If /and mare parallel, which pairs of angles are congruent?
1 and 3, 2 and 4, 6 and 7, 3 and 6

Answers

Answer:

The first answer and the second answer.

Step-by-step explanation:

So when they say parrallel, they mean all the angles on one set of lines are exactly the same with the ones on the other lines.

Knowing this, we can easily see that:

angle 1 is equal to angle 3

angle 2 is equal to angle 4

angle 5 is equal to angle 7

angle 6 is equal to angle 8

So looking at the answers it must me:

A

B

Hope this helps! ;)

I attached a file if you want to have a visual understanding of this problem as well.

Need help please and thank you have a nice day

Answers

Answer:

106 is the correct answer

Mr. Nelson sold a car for $1,380 that cost
him $1,500. What was his percent of loss
based on the cost?​

Answers

Answer:

The loss is $120 and the loss percentage is 8%.

Step-by-step explanation:

Given that,

SP of a car = $1,380

CP of a car = $1,500

As CP > SP, it means there is a loss in selling of that car.

Loss = CP - SP

= $1,500 - $1,380

= $120

Loss percentage,

[tex]\%=\dfrac{loss}{CP}\times 100\\\\=\dfrac{120}{1500}\times 100\\\\=8\%[/tex]

Hence, the loss is $120 and the loss percentage is 8%.

I need help with other question b, with explanation please

Answers

Answer:

[tex]96 - 14[/tex]

Step-by-step explanation:

Given

[tex]Digits: 6\ 1\ 9\ 4[/tex]

Required

Fill in the blanks to get the largest subtraction

The largest subtraction is the difference between the highest possible value and the least possible value.

From the 4 given digits.

We have:

[tex]Highest = 96[/tex]

[tex]Least = 14[/tex]

So, the blanks become:

[tex]96 - 14[/tex]

And the difference is:

[tex]82[/tex] --- possible largest

Please can someone help me. It’s not 26, please find X

Answers

I found your exact problem online, I would ask your teacher why the answer is not 26

Find the solution to 12x-2=13(x-15)

Answers

Answer:

x = 193

Step-by-step explanation:

distribute 13 into (x - 15)

=> 12x - 2 = 13x - 195

subtract 12x on both side

=> -2 = x - 195

add 195 on both side

=> x = 193

Zoe drove 55 miles in 11/12​ hours. On average, how fast did she drive, in miles per hour?

Answers

Answer:

60

Step-by-step explanation:

So, first we need to divide the miles(55) by the time(11).

This should look like:

55/11

=

5

This should get you 5. Now lets multiply the 5 by the total time(12).

This should now look like:

5x12

=

60

This should get you 60. This is the answer.

If you want to solve more of these, here is a step-by-step:

Divide the value by the first time.Take the new value.Multiply it by the second time.This is your answer

Lets try another example:

Bob the builder made a 5 story building in 8 hours. How many stories on a building can Bob make in 24 hours?

Lets start with step 1. Divide the 5(value) by the 8(first time).

You should get 5/8 which is a bit of a strange number:

0.625

Now lets do step 2. Take the new 0.625 value.

Now to step 3. Lets multiply that value by the 24(second time)

This should get you 0.625x24:

This will get you 15

So your answer IN THE EXAMPLE I MADE is:

15 stories

Hope this make sense and helps you with your math ;)

The function g is defined by g(x) = x² +4.
Find g(5n)

Answers

Answer:

g(5n)=5n^2+4

Step-by-step explanation:

Substitute 5n for x

5n^2+4

You can't really do much with this so that is the answer

help pls its due in 1 hour !!!!​

Answers

Answer:

Hello Love! This is A Triangular Prism

Hope that helps!

Answer: Triangular Prism

Step-by-step explanation:

There’s no way to explain this, but you can easily find the answer by searching “what does a rectangular prism look like” and go through each of the answer choices until you find one that matches.

What is the measure of angle x

Answers

Answer: 95



Proof:
35+50=85 180-85=[95]

If AB = 10 and m_A = 20° , find AC . Round to the nearest tenth.

Answers

Answer:   9.397

Step-by-step explanation: c = a·sin(C)/sin(A) = 9.39693

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