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
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?
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.
Please can someone help me. It’s not 26, please find X
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?
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
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?
Name the axis of symmetry for y=(x-5)^2+1
The function g is defined by g(x) = x² +4.
Find g(5n)
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
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
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)
Answer:
the answer is option number b..
What is the measure of angle x
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
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.
Find the solution to 12x-2=13(x-15)
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
If /and mare parallel, which pairs of angles are congruent?
1 and 3, 2 and 4, 6 and 7, 3 and 6
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.
If AB = 10 and m_A = 20° , find AC . Round to the nearest tenth.
Answer: 9.397
Step-by-step explanation: c = a·sin(C)/sin(A) = 9.39693
Please help asap will give brainliest
Answer:
I cant see the choices
Step-by-step explanation:
I need help with other question b, with explanation please
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
help pls its due in 1 hour !!!!
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.
The quotient of a numberpo, and five
Please help
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
Mr. Nelson sold a car for $1,380 that cost
him $1,500. What was his percent of loss
based on the cost?
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%.
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
Answer:
c
Step-by-step explanation:
just is
Solve for the following by
FACTORING:
x2 + 11x + 28 = 0
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
What is sin49° to the nearst tenth
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) .
Can someone please help me I will mark u brilliant
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
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.
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.
plz help meeeeeeeeeeeeeee
Answer:
A
Step-by-step explanation:
Need help please and thank you have a nice day
Answer:
106 is the correct answer
find the difference between the place value of: 6 in 6,15,265
Answer:
6,15,265=lakh
6,15,265=tens
hope it helps.
HELPPP PLEASE HELP A GIRL OUT
Answer:
I am guessing A or C.
Step-by-step explanation:
Hope this helps you :)
What is the slope of the line represented by the equation y=-} - 5x?
0 -5
win win i
2
3
o
2
05
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
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**
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
Zoe drove 55 miles in 11/12 hours. On average, how fast did she drive, in miles per hour?
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 answerLets 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 ;)