Answer:
a) 35
Step-by-step explanation:
k^2 = m^2 + j^2 - 2(m)(j) cosK
k^2 = 21^2 + 28^2 - 2(21)(28)(cos90)
k^2 = 441 + 784 - 2(588)(0)
k^2 = 1225 - 0
k^2 = 1225
√k^2 √1225
k = 35
Answer:a 35
Step-by-step explanation:
took the test
The radius of a spherical glass ornament is 6 centimeters. Twenty-seven ornaments are packed in a cube shaped box with a side length of 36 centimeters. What is the volume of the empty space in the box, rounded to the near whole number?
Answer:
45.413 cm³
Step-by-step explanation:
Because the volume of a orament is 57 cm³ . The volume of twenty-seven oraments is 1242 cm³ . The volume of a cube is 46656 cm³
⇒The empty space is :
46656-1242=45414 ( cm³)
So the empty space is 45414 cm³
The volume of the empty space in the box, rounded to the nearest whole number, is 22,247 cubic centimeters.
What is a sphere?It is a three-dimensional figure.
The volume of one spherical glass ornament can be found using the formula V = (4/3)πr³, where r is the radius.
We have,
V = (4/3)π(6³)
= 904.78 cm³ (rounded to two decimal places)
The volume of 27 such ornaments is:
= 27 V
= 27 × 904.78
= 24,409.06 cm³ (rounded to two decimal places)
The volume of the cube-shaped box is given by V = s³,
where s is the side length.
Substituting the given side length, we get:
V = 36³
= 46,656 cm³
The empty space in the box is the difference between the volume of the box and the volume of the 27 ornaments:
Empty space = V(box) - 27V
= 46,656 - 24,409.06
= 22,246.94 cm³
Rounding this to the nearest whole number, we get:
Empty space ≈ 22,247 cm^3
Therefore,
The volume of the empty space in the box, rounded to the nearest whole number, is 22,247 cubic centimeters.
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What is the area of triangle ABC? Round to the nearest square unit.
Triangle A B C is shown. The length of A C is 16, the length of C B is 8, and the length of A B is 10.
Heron’s formula: Area
8 square units
15 square units
33 square units
618 square units
The area of the triangle ABC is 33 square units
We have given that,
Triangle A B C is shown. The length of A C is 16, the length of C B is 8, and the length of A B is 10.
We have to determine the area of the triangle
What is the area of the triangle?[tex]\text{ Area }=\sqrt{s(s-a)(s-b)(s-c)}[/tex]
A = area
s = semi-perimeter
a = length of side a
b = length of side b
c = length of side c\text{ Area } = area
s = semi-perimeter
use the given value in the above formula we get the area of the triangle ABC is,
Therefore the correct answer is 33 square units.
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Answer:
33 square units
Step-by-step explanation:
What is the value of the expression 30 divided by (negative 6)?
Answer:
30 divided by (negative 6) would be : 30/(-6) = -5
Hope this helps!
:)
what is the value of this expression 4 + 6 (4.3 + 8 )
-2.1
Answer:
The answer is 20.2
Step-by-step explanation:
always start with the number is parentheses
Answer:75.7
Step-by-step explanation:
What fractional part of 84 is 14?
Answer:
1/6
Step-by-step explanation:
14/84 = 7/42 = 1/6
Please give me the answer
Answer:
52
Step-by-step explanation:
sorry if it's wrong
The manager of a plant nursery bought 120 lb of soil to use for potting plants. The manager can put 5 lb into each of the small pots and 12 lb into each of the large pots. The manager made a sketch to show the line representing the different combinations of pots that can be used. The x-axis represented the number of small pots and the y-axis represented the number of large pots. The manager labeled only the intercepts.
Which points did the manager label?
(0, 24) and (10, 0)
(0, 5) and (12, 0)
(0, 10) and (24, 0)
(0, 12) and (5, 0)
Answer:
(0, 24) and (10, 0)
Step-by-step explanation:
hope it's helpful
What is the value of x in the equation .5x+.08=1.68?
A.3.28
B.3.2
C. .88
D. .32
Answer:
Step-by-step explanation:
Answer:
x = 0.88/5
Step-by-step explanation:
5x+0.8=1.68
5x = 1.68 - 0.8
5x = 0.88
x = 0.88/5
HELP PLSS WILL GIVE BRAINLIEST
Solve N = 3rt^4 - 5rz
(solve for z)
Answer:
Step-by-step explanation:
N = 3rt^4 - 5rz
now factor r out
N = r(3t^4-5z)
divide by r on both sides
N/r = (3t^4 - 5z)
subtract (3t^4)
N/r - 3t^4 = -5z
now divide by -5 to isolate the variable (z)
[tex]\frac{(n/r)-3t^4}{-5}[/tex] = z
Answer:
(N-3rt^4) / -5r = z
Step-by-step explanation:
N = 3rt^4 - 5rz
Subtract 3rt^4 from each side
N-3rt^4 = 3rt^4-3rt^4 - 5rz
N-3rt^4 = - 5rz
Divide each side by -5r
(N-3rt^4) / -5r = - 5rz/ -5r
(N-3rt^4) / -5r = z
Kiko baked a batch of cookies. She ate 3 cookies and then gave half of the remaining cookies to her friends. If c represents the number of cookies that Kiko baked, which expression shows the number of cookies she gave to her friends?
Answer: (c - 3) / 2 = x
Step-by-step explanation:
If c represents the cookies, then you remove 3 because she ate 3 of the cookies. Since half of the remainder of the cookies were given to her friend, you must divide the product of c - 3, by 2. The reason for the parenthesis is so that it overrules PEMDAS, as parenthesis goes before division.
Which number sentence has a difference of 5?
8-(-3)
0
-3-8
-3-(-8)
3-(-8)
Answer:
The 4th one
Step-by-step explanation:
-3-(-8)=5
Simplify the given expression.
13 + (14a+5b)
HELP
Answer:
13 + 14a + 5b
Step-by-step explanation:
when there's a + in front of a expression
in parentheses the expression remains the same
Answer:
14a + 5b + 13
Step-by-step explanation:
What is the product of 2x + y and 5x – y + 3?
Answer:
10[tex]x^{2}[/tex] + 6x + 3xy + 3y - [tex]y^{2}[/tex]
Step-by-step explanation:
(2x + y)(5x – y + 3)
=10[tex]x^{2}[/tex] - 2xy + 6x + 5xy - [tex]y^{2}[/tex] +3y
=10[tex]x^{2}[/tex] + 6x + 3xy + 3y - [tex]y^{2}[/tex]
Find x and y
Need done before 11:59
Answer:
Step-by-step explanation:
(3x + 6)° = 78°
3x = 72°
x = 24°
z = 180° - 78° = 102°
Answer:
x= 102
z= 24
Hope it will help you :)
(08.01 LC)
A biologist created the following graph to show the relationship between the temperature of water (x), in degrees Celsius, and the number of insect larvae (y) in the water:
graph of y = -2x^2 + 20x + 400
What does the y-intercept of the graph represent?
Answer:
400
Step-by-step explanation:
Remember y=mx+b
b=y-intercept
it's the starting point on a graph.
Hi!
Got a question!
The question is: Find the volume of the shape above(if youre using the app) or below ( if you are using the website ).
Thanks !!
Answer:
404.09x cm³ (to 5 s.f.),
where x is the unknown height of the shape.
Step-by-step explanation:
Volume of the shape
= base area × height
= (large semicircle- small semicircle) × thickness of shape
Area of circle= [tex]\pi {r}^{2} [/tex]
Area of semicircle= [tex] \frac{1}{2} (\pi)( {r}^{2} )[/tex]
Diameter of small circle= 14
Radius= diameter ÷2
radius= 14 ÷2
radius = 7 cm
Area of small semicircle
[tex] = \frac{1}{2} (\pi)( {7}^{2} ) \\ = \frac{49}{2} \pi[/tex]
Radius of large semicircle
= 35 ÷2
= 17.5 cm
Area of large semicircle
[tex] = \frac{1}{2} (\pi)( {17.5}^{2} ) \\ = \frac{1225}{8} \pi[/tex]
Base area of shape
[tex] = \frac{1225}{8}\pi - \frac{49}{2} \pi \\ = \frac{1029}{8} \pi[/tex]
Since the height if the shape is not given, I'm afraid I cant help you find the volume.
Let the height of the shape be x cm.
Volume of shape= [tex] \frac{1029x}{8} \pi \: cm^{3} [/tex]
You maintain an average balance of $1050 on your credit card which carries a 12% annual interest rate. The monthly interest payment is
Answer:
157.5
Step-by-step explanation:
400 people are asked if they drink tea
7/10 say yes and 20% of the people who say yes drink three cups a day
Answer:
56 people drink 3 cups daily
Step-by-step explanation:
What's the total number of people that drink 3 cups?
Total number of people = 400
7 / 10 were asked said yes
Number of people that said yes = (7 / 10) × 400 = 280
280 people drink tea.
20% of 280 people drink 3 cups daily, whats the number = ?
20% of 280 = ?
20 / 100 = x / 280
(20 × 280) = (100 × x)
5600 = 100x
X = 5600 / 100
X = 56 people
56 people drink 3 cups of tea daily.
Answer:
56 people drink 3 cups daily
Step-by-step explanation:
This diagram shows triangles ABC and PQR. ABC is mapped to PQR by combining two single transformations. The first is a rotation of 90 degrees clockwise about C. Describe fully the second transformation.
Answer:
enlarge by -2 by centre point (3,1)
Step-by-step explanation:
Which expression has the same value as -18 divided by -9?
-18 divided by 2
-12 divided by (-3)
-10 divided by 5
-8 divided by (-4)
Answer:
-8 divided by (-4)Step-by-step explanation:
-18 divided by -9 is +2 and that is what you want.
-18 divided by 2 is -9, not correct.
-12 divided by (-3) is +4, not correct.
-10 divided by 5 is -2, not correct.
Leaving the correct answer: -8 divided by (-4) is +2.
Remember: a negative times a negative equals a positive.
8. Find the volume of the cylinder. Round to the
nearest tenth.
6 cm
3 cm
Answer:
339.3 cm^3
Step-by-step explanation:
V=πr2h=π·62·3≈339.29201
Please give me the answer
Answer:
50 degrees
Step-by-step explanation:
Since the two sides have the same length of 7 cm, it is an isosceles triangle so x = (180-80) / 2 = 50
A branch point where currents divide or combine is known as a ______
A. Principal node
B. Common node
C. Ground node
D. Reference node
please help ASAP will give brainiest :)
find the third angle of a triangle it two of the angles measure 29 degrees and 87 degrees? A) 58 B)64 C) 93 D)116
Answer:
64 degrees
Step-by-step explanation:
Angles in a triangle add up to 180
87 + 29 = 116
Final angle must be 180 - 116 = 64
Answer:
Hello,
B) 64
Step-by-step explanation:
29 + 87 + X = 180
X = 180 - 29 - 87 = 180 - 116 = 64
HELP ITS MATH U CAN DO IT!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1/3
Step-by-step explanation:
1/3 x 1/3 x 1/3 = 1/27
if was negitive would be 1/-27
if 1/9^3 would be 1/729
if negitive 1/-729
Please help! Will give brainliest, thanks and more points.
Look at the picture.
Answer:
rectangular prism
Step-by-step explanation:
their is four sides and a top and bottom
Answer:
it's a rectangular prism and their is four sides and a top and bottom
Step-by-step explanation:
boom
What are some real-life examples of objects that are rectangles and made of
square tiles in rows and columns?
Answer:
a cube like the one with color things I forgot the name but is that one
I need help for a project! What would the variables be defined as!?
Marvin burned 8 calories per minute on a treadmill and 10 calories
per minute on an elliptical trainer for a total of 560 calories in 60
minutes. Write and solve a system of linear equations to determine
how many minutes he spent on each machine.
2 1/5x * 1 7/10 y * 4 3/5 x 1 7/10 (* 7 4/50)
Finds the answer
10 6/50x * 7 41/50y (* 7/4/50) = 56
79 13/100 (* 7 4/50) = 56
560 = 56 (10x)
x = 5 6/10
7 (y) = 56 (7y)
8 = 56/7 (y)
y = 8
x = 5 6/10
6/10 of 560 = 336
336/60 = x
336/60 = 5 6/10
How can the point (12, 16) be explained? The highest point of the mountain defined by the function is 12 feet. The highest point of the mountain defined by the function is 16 feet. The width of the base of the mountain defined by the function is 12 feet. The width of the base of the mountain defined by the function is 16 feet.
Answer:
B The highest point of the mountain is defined by the function is 16 feet.
Step-by-step explanation:
Saw it somewhere
The points (12, 16) can be explained as,
The highest point of the mountain defined by the function is 16 feet.
The width of the base of the mountain defined by the function is 12 feet.
Co ordinatesWhat are co ordinates?a group of variables that accurately depict a position. The first number on a graph represents the distance along, while the second number represents the distance up or down. For instance, the point (2,15) is located 2 units down and 15 units up.
What is Abscissa?The "x" coordinate of a point, as represented on the horizontal line, is another name for the abscissa.
What is Ordinates?The co ordinate that is displayed on the vertical line, commonly known as the "y" coordinate is called ordinates.
Description for the co ordinates (12, 16)As, 12 is written first on the co ordinates, that's why 12 is showing the abscissa on the horizontal line which is the width of the base of the mountain.
While, 16 here shows the ordinates on the vertical line which is the highest point of the mountain.
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Answer:
3/4=0.75
Step-by-step explanation: