Answer:
z = 9
Step-by-step explanation:
JH is a perpendicular bisector of Δ IJK.
Thus the triangle is isosceles with
JK = JI , that is
7z = z + 54 ( subtract z from both sides )
6z = 54 ( divide both sides by 6 )
z = 9
Jaden cut a square sheet of paper in half along a diagonal to make two equal
triangles. Each triangle has an area of 0.08 square units. What is the length,
in units, of one side of the square?
The length of one side of the square is approximately 0.4 units.
Let's assume that the side length of the square is "s" units.
When the square sheet of paper is cut in half along the diagonal, it forms two equal right-angled triangles. The area of each triangle is given as 0.08 square units.
The formula for the area of a right-angled triangle is:
Area = (1/2) * base * height
Since the triangles are equal, we can write:
0.08 = (1/2) * base * height
Now, let's find the base and height of one of the triangles. Since the triangle is a right-angled triangle, the base and height are the legs of the triangle.
Let's assume the base and height of one triangle are "b" and "h," respectively.
0.08 = (1/2) * b * h
We are given that the area of each triangle is 0.08 square units, so we can write:
0.08 = (1/2) * s * s
Now, we can solve for "s":
[tex]s^2 = 0.08 * 2\\s^2 = 0.16[/tex]
Take the square root of both sides:
[tex]s = \sqrt{0.16}\\s \approx 0.4[/tex]
So, the length of one side of the square is approximately 0.4 units.
To know more about square:
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write an expression that has 5 terms and that is equivelent to 5x+y
Answer:
5x + y - 2 + 3 - 1
Step-by-step explanation:
Consider best strategy to solve the problem. If 9 inches are equal to 27 feet on a map how many feet are equal to three inches
Answer:
9
Step-by-step explanation:
If 9 inches equal 27 what you would do is divide in order to find how much feet would be in 1 inch. So:
9/27= 3 feet
Then to find how much feet are equal to 3 inches you just multiply that by 3. So your answer is 9 feet.
Overall the work should look like
9 inches= 27 feet
9/9 inches= 27/9 feet
1 inch = 3 feet
3 inches x 3 feet
= 9
i need help ill give brainiest
Answer:
9 ft
Step-by-step explanation:
its volume is equal to the area by height;
(2.5 x 3)h = 67.5
h = 9ft
Given:
Volume of triangular prism is 67.5 cubic feet
Height of triangular prism is 3 feet
Base width of triangular prism is 5 feet
Length of triangular prism is 't'
To find:
Value of 't'
Steps:
The formula for volume of triangular prism is,
volume of triangular prism = [tex]\frac{1}{2}[/tex] × Width × Height × Length
67.5 = [tex]\frac{1}{2}[/tex] × 5 × 3 × t
67.5 = [tex]\frac{1}{2}[/tex] × 15 × t
[tex]\frac{67.5}{15} = \frac{t}{2}[/tex]
[tex]4.5 = \frac{t}{2}[/tex]
[tex]4.5 * 2 = t[/tex]
[tex]9 = t[/tex]
[tex]t = 9[/tex]
Therefore the value of 't' is D) 9 feet
Happy to help :)
If you have any doubt or explanation feel free to ask
Plz answer I'll give brainliest
Answer:
0 < x < 6
Step-by-step explanation:
triangle sides:
other sides subtracted < third side < other sides added
4-3 < x+1 < 4+3
1 < x+1 < 7
1-1 < x+1-1 < 7-1
0 < x < 6
Hope this helps :)
(10*2)*3=( )* ( ) * ( )
=
=
Answer:
c= 10 d=2 e=10 f=2 g= 10 h= 6 k=1
Step-by-step explanation:
I am not sure about the g, h and k though.
but cube root means the number thrice.
I hope it helps.
Evaluate 1 3/7-(2/3+5/7)
Answer:
13/7 - (14/21 + 15/21)
Step-by-step explanation:
= 13/7 - ( 29/21)
= 39/21 - 29/21 = 10/21 = 0.47
Answer:
that's the answer .......
What is the radius of a cylinder with 490picm^3 of volume and 10 cm of height
Write an equation to represent the puppy's
weight in terms of the number of weeks since the person got the puppy.
I need one equation for Camille and one for Olivia PLSS
Answer:
Camille:[tex]y=\frac{n}{2} +\frac{3}{2}[/tex]
Olivia: [tex]y=x+4[/tex]
Step-by-step explanation:
hope it helps have a great day
Michael is saving to buy his senior ring. The base cost of the ring is $280. There are also upgrades he can purchase for the ring. If he saves $35 each month, Which solution represents how many months it will take Micheal before he can purchase his ring?
A.x<_8
B.x_>8
C.x<8
D.x>8
Answer:
B
Step-by-step explanation:
Assuming that he doesn't buy any upgrades it will take 280/35 = 8 months to save enough money to buy the ring. Taking the possibility that he may buy an upgrade too we can say that it will take 8 months or more to buy the ring.
Quadrilateral BCDE is inscribed in circle A. The measure of ⏜ is 73°. The measure of ⏜ is 53° and the measure of ⏜ is 102°.
Determine the measure of ∠ BCD.
Answer:
Angle BCD = 73 + 53 = 126 degrees
Step-by-step explanation:
Look at picture, Throw a ball in the air and create a function models to show the trajectory the variable x represents time in seconds after the ball was thrown
Answer:
Mark's Ball is thrown from a greater height off the ground. Roberto's ball reaches a greater maximum height.
Step-by-step explanation:
I took the test.
When factored completely,
X^3-7x^2-30x
Answer:
x(x+3)(x−10)
Step-by-step explanation:
Hope this was helpful let me know if it was!
A plane is flying at an altitude of 17,000 feet. The angle of depression from the plane to the airport on the ground is 21°. What is the distance between the plane and the airport to the nearest 10th of a foot
Answer:
47,433.0 feet
Step-by-step explanation:
Using the SOH CAH TOA identity
Height of the plane = opposite = 17000feet
distance between the plane and the airport = hypotenuse = x
Angle of depression = 21 degrees
Since Sin theta = opp/hyp
Sin 21 = 17000/x
x = 17000/sin21
x = 17000/0.3584
x = 47,433.0
Hence the distance between the plane and the airport to the nearest 10th of a foot is 47,433.0 feet
Answer:
47437.3
Step-by-step explanation:
Please Help Me Please
Answer: D) [tex]64%[/tex]% well I did not find the exact percent but I figured out it had to be more the [tex]50%[/tex]% so D
Step-by-step explanation:
PLEASE HELP, ILL MARK BRAINLIEST
""solve triangle ABC using the given information round triangle measures to the nearest degree and side measure to the nearest tenth
9514 1404 393
Answer:
a) A = 73°, C = 59°, a = 16.7
b) A = 11°, C = 121°, a = 3.3
Step-by-step explanation:
The Law of Sines can be used to find angle C. Then the sum of angles in the triangle can be used to find angle A. The length of 'a' can be found either from the Law of Sines or the Law of Cosines at that point.
The given angle is opposite the shorter of the two given sides, so there are two possible solutions.
Acute triangle solution
The Law of Sines gives the relation ...
sin(C)/c = sin(B)/b
sin(C) = (c/b)sin(B)
C = arcsin(c/b·sin(B)) = arcsin(15/13·sin(48°)) ≈ 59°
Then angle A is 132° -59° = 73°, and side 'a' is ...
a = 13·sin(A)/sin(B) = 13·sin(73°)/sin(48°) ≈ 16.7
__
Obtuse triangle solution
The other value of arcsin(15/13·sin(48°)) is used:
C ≈ 121° ⇒ A = 11°
a = 13·sin(11°)/sin(48°) ≈ 3.3
__
The two solutions are ...
A = 73°, C = 59°, a = 16.7
A = 11°, C = 121°, a = 3.3
We note that the drawing is of an acute triangle, so that solution may be the one that is preferred.
_____
Additional comment
In the above presentation, we have rounded angle values to the precision required by the problem statement (nearest degree). However, in the actual calculations, we have used the full calculator precision. Only the final answers have been rounded.
The class decides to make chocolate chip cookies for Mr. Burn’s first day of school in September. Each student needs 3⁄4 of a stick of butter for the recipe. If 14 students want to make cookies, how many sticks of butter do they need to buy?
Answer:
10 1/2 sticks, or 11 sticks with half a stick left over.
Step-by-step explanation:
If every student (and there are 14 students) needs 3/4 stick of butter, the equation is 3/4 x 14 = 10 1/2
help me plzzzzzzzzzz
Answer:
v2(v+7)(v+2)(v−2)
Step-by-step explanation:
How many 1/2 cup servings are in a box of oatmeal that contains 6 3/4
6 and 3/4 divided by 1/2
27/4 divided by 1/2
27/4 * 2/1 = 27/2 = 13 and 1/2
describe the relationship between the base and the exponent in 43.
Answer:
b
Step-by-step explanation:
give the lowest common multiple and the highest common factor for each pair of numbers 100 and 132
Answer:
LCM,
(Least common multiple)
100 and 132 is 3300
The GCF
(Greatest common factor)
100 and 132 is 4
Which relationships describe angles 1 and 2?
Answer:
picture?
Step-by-step explanation:
Solve for x.parallelogram
Plz show steps so I can learn
Answer:
in a parallelogram .......the sum.of adjacent angles is 180
11x-10+80=180
11x=110
x=10
Alex and Bill share a 24-ounce box of cereal. By the end of the week, Alex has eaten 3 8 of the box, and Bill has eaten 1 4 of the box of cereal. How many ounces are left in the box?
Answer:
9 ounces.
Step-by-step explanation:
Answer:
12 ounces on the box
Step-by-step explanation:
l have tried
A salesman earend a $325 salery this month. His total sales were $700. If the salesman earend a total of $360. What was his commission rate?
Answer:
Commission rate= 5% of sales
Step-by-step explanation:
Giving the following information:
Fixed salary= $325
Monthly salary= $360
Sales= $700
First, we need to calculate the commissions:
Commission= monthly salary - fixed salary
Commission= 360 - 325
Commission= $35
Now, the commission rate:
Commission= commission rate* sales
35 = commission rate*700
0.05= commission rate
commission rate= 5% of sales
Miranda's wages are $16 per hour. Enter a linear equation that gives the wages w in dollars that Miranda
earns in h hours.
Wages ($)
Time (hr)
The equation is
Answer:
y = 16x
Step-by-step explanation:
5 daños colaterales de los avances medicos
Answer:
1. Dosis de la vacuna de Oxford
Step-by-step explanation:
help plsssssss someone
Answer:
672
Step-by-step explanation:
One person takes up about 2.5 square feet of space. Use this value to estimate how many people can fit
in an area that is 20 feet wide and 25 feet long.
An area that is 20 feet wide and 25 feet long will be 20*25 = 500 square feet large. Division tells us how many times one number is contained within a number, so to find how many 2.5 square feet large people fit in a 500 square feet large space, we do 500/2.5 = 200 people.
Alexa and her friends went out for pizza to celebrate the softball team’s victory. Their total bill for the pizza and drinks was $32.50. If they left a 20% tip for their server, how much tip did they leave?
How do I solve this problem?
Answer:
$39
Step-by-step explanation:
32.50:100 × 20 = $6.50
32.50+6.50 = $39