Answer:
10−12
Step-by-step explanation:
Determine the component form of the vector which has a magnitude of 30 & a direction of 116 degrees.
Given :
Magnitude of vector is 30 units.
Direction of vector from x-axis is 116°.
To Find :
The component form of the vector.
Solution :
We know, vector in component form is given by :
[tex]\vec{v} = (Acos\ \theta) \hat{i} + (Asin\ \theta)\hat{j}[/tex]
Putting given values,
[tex]\vec{v} = (30\times cos\ 116^o) \hat{i} + (30\times sin\ 116^o)\hat{j}\\\\\vec{v} = -13.15 \hat{i} + 0.90 \hat{j}[/tex]
Hence, this is the required solution.
Find the circumference and area of a circle the radius is 7 meters
Answer: 43.9823
Step-by-step explanation:
The equation to find the circumference is c=2πr. By the “r” in the equation represents the radius. The question says the radius is 7 so you just input the 7 where the “r” is. So 2·π·7=43.9823.
C=2πr=2·π·7≈43.9823
A recipe requires 3 cups of milk for every 4 cups of flour. Write a linear equation that describes the relationship.
Answer: [tex]y=\dfrac{3}{4}x[/tex]
Step-by-step explanation:
Given
3 cups of milk are required for 4 cups of flour
Suppose there are x cups of milk and y cups of flour
So, according to the question
[tex]\Rightarrow 3x=4y\\\\\Rightarrow y=\dfrac{3}{4}x[/tex]
The above equation represents the linear equation.
Which property is being used here?
5.2345 x 1 = 5.2345
Answer:
The identity property
Step-by-step explanation:
.......
Can someone please explain how to go the answers for this
Answer:
A=3, B=4, C=-5
Step-by-step explanation:
So A represents the amplitude, which is the distance between the midline (C), the middle of the graph, and the maximum (or minimum). B is the distance of the period of the graph. In this case, we see that the midline is C=-5 because that is the halfway point of the sine function. We also see that the period distance is B=5-1=4, so our period would be 2π/4 or π/2. Our amplitude would be A=3 because |a|=|-5-(-2)|=|-5+2|=|-3|=3. Observe the graph to see this visually.
A parallelogram always have four right angles*
A. True
B. False
How do you find the distance between points (5,1), (4,0)?
Answer:
To find the hypotenuse, you would use the formula a^2 + B^2 = C^2
That is the formula for the pythagorean theorem.
I suggest you first plot it on a graph, then could the units on the sides that make up the legs.
When you plot it, the legs are both 1 unit.
so it would be, following the formula:
1^2 + 1^2 = c^2
1 x 1 + 1 x 1 = c^2
2 = c^2
Then you square root:
√2 = √c^2
1.41421356 = c
1.41421356 rounded to the nearest tenth is 1.4.
So the length of (5,1), (4,0) is ≈1.4
WILL MARK BRAINLIEST HELP ASAP ASAP
Answer:
Step-by-step explanation:
A
You are at the store and see that shirts and jeans are on sale. Shirts are $10 and jeans are $20. If you buy 3 shirts and 2 pairs of jeans, what is your total bill? someone help please show how you solved it
Answer:
you will have to pay $70 on 3 shirts and s pairs of jeans
Step-by-step explanation:
Answer:
70
Step-by-step explanation:
10+10+10= 30
20+20+40
30+40= 70
A rectangular prism has a volume of 640 cubic centimeters, a height of 5 centimeters,
and a length of 8 centimeters. What is the width of the rectangular prism in centimeters?
Answer:
10 cm
Step-by-step explanation:
The volume of a rectangular prism is calculated by multiplying the length, width and height together. So, to find one of the dimensions, all we need to do is divide the volume by the given dimensions. In this case we divide the volume, 640, by the height, 5, and length, 8.
The width, or w, is equal to 640 divided by 5 and 8.
w = 640 ÷ 5 ÷8
w = 80 ÷ 8
w = 10
The width is 10 cm.
I hope this helps ^^ Good luck n.n
For the following right triangle, find the side length .
Answer:
x = 25
Step-by-step explanation:
Using the formula a²+b²=c², you can easily find out the hypotenuse of the triangle (which is the long side of it, and is the x in this problem.)
If we substitute the side lengths for the question in a²+b²=c², you'll get
20²+15²=x²
Simplifying the numbers and squaring them, you get
400+225=625²
Since you want the value of the x side, you'll need to root 625.
√625=25
Therefore, x = 25
Answer:
x = 25
Step-by-step explanation:
To find the side lengths of a right triangle, we can use the Pythagorean Theorem, a² + b² = c². a and b are the legs, and c is the hypotenuse, the longest side. In this figure, x is the hypotenuse, c.
Plug in our values for a and b and solve for x.
[tex]a^2+b^2=c^2[/tex]
[tex]20^2+15^2=c^2[/tex]
[tex]400+225=c^2[/tex]
[tex]625=c^2[/tex]
[tex]\sqrt{625}[/tex] = [tex]\sqrt{c^2}[/tex]
[tex]25=c[/tex]
c, or x is equal to 25. The missing sidelength is 25 units.
Good luck ^^
Choose the inequality that represents the following graph.
Answer:
b is the answer I believe so because it have to be greater than 0
Step-by-step explanation:
I hope it's right and if not my bad
Please help!! I need Thai answer soon, will mark brainless
Answer:
d. 127.41
hope it helps....
Find the slope of a line that passes through the points
(-9, -3) and (-7, -1)
1
-16
1over2
8
Answer:
1
Step-by-step explanation:
Item 4
Sam biked for 4 minutes 30 seconds.
How many seconds did Sam bike?
34 s
94 s
270 s
300 s
Answer:
270 s
Step-by-step explanation:
4 minutes = 240s
add the other 30s
boom
Asap please
1) Javier wants to replace the carpet in the two
bedrooms of his home. Bedroom 1: is rectangular
in shape that has a width of 10ft and length of
8.5ft. Bedroom 2: is rectangular in shape that has
a width of 11.75ft and length of 13.25ft. If the
carpet he wants to buy is $2.83 per square foot,
then how much will it cost for both rooms?
a. $85.00
b. $155.69
c. $240.69
d. $681.15
Answer:
d. $681.15
Step-by-step explanation:
Bedroom 1:
Width = 10 ft
Length = 8.5 ft
Area of bedroom 1 = length × width
= 10 ft × 8.5 ft
= 85 ft²
Bedroom 2:
Width = 11.75 ft
Length = 13.25 ft
Area of bedroom 2 = length × width
= 11.75 ft × 13.25 ft
= 155.6875 ft²
Total carpet in the two bedrooms = 85 ft² + 155.6875 ft²
= 240.6875 ft²
If the
carpet he wants to buy is $2.83 per square foot, then how much will it cost for both rooms?
Total cost for both rooms = Total carpet in the two bedrooms × cost per square foot
= 240.6875 ft² × $2.83
= $681.145625
Approximately $681.15
What is the domain of the function shown on the graph?
Answer:
-1 i think
Step-by-step explanation:
Find X, AB, BC, and AC if ABC is equilateral.
X =
AB =
BC =
AC =
Find the surface area of this cube
Answer:
512 in^3
Step-by-step explanation:
It would be length x height x width = AREA
8 x 8 x 8= 512 and since its 3d it will be 512^3
EASY POINTS!! HELP AND ILL MARK YOU BRAINLIEST!!!!
which of the following points is not on the graph y=-1/2x²-3x+7
(1, 3.5)
(9, -60.5)
(-8 -1)
(6, -30)
Answer: (6, -30)
Step-by-step explanation:
Substitute the points into the equation:
3.5 = -1/2(1^3) - 3(1) + 7 = 3.5: (1, 3.5) is on the graph.
-60.5 = -1/2 (9^2) -3(9) + 7 = -60.5: (9, -60.5) is on the graph.
-1 = -1/2 (-8^2) -3(-8) + 7 = -1. (-8, -1) is on the graph.
-30 = -1/2(6^2) -3(6) + 7 = -29 (6, -30) is not on the graoh.
PLSS HELP I WILL MAKE BRAIN?
Direct to Coordinates
plot the point A (2, 3) then, plot point b that is 4 right and 5 up from point A.
Plot the point C (9, 7). Then, plot another point D that is 8 left and 2 down from point C.
Answer: here is a pic
Step-by-step explanation:
PLS HELP! find the area and round to the nearest tenth
Given:
A regular hexagon with side 11.5 units and apothem 10 units.
To find:
The area round to the nearest tenth.
Solution:
Area of a regular polygon is:
[tex]A=\dfrac{1}{2}Pa[/tex] ...(i)
Where, P is the perimeter and a is the apothem.
The given figure is a regular hexagon with six sides. So, the perimeter of the given figure is the product of number of sides and the side length.
[tex]P=6\times 11.5[/tex]
[tex]P=69[/tex]
Putting [tex]P=69,a=10[/tex], we get
[tex]A=\dfrac{1}{2}(69)(10)[/tex]
[tex]A=(69)(5)[/tex]
[tex]A=345 [/tex]
Therefore, the area of the regular polygon is 345.0 square units.
My dog, Bentley, is playing in the park and sees a tree 100 m away. Since he is the dog of a mathematics teacher, he knows how to calculate the angle of elevation to the top of the tree and finds it to be about 25°. About how tall is the tree?
Answer:
g
Step-by-step explanation:
Answer:
g is the answer trust me all the best
Devante buys 1/1/4 pounds of cashews 7 ounces of almonds and 3/4 pounds of pecans how much do the nuts weight in
Answer: [tex]39\ \text{Ounces}[/tex]
Step-by-step explanation:
Given
The amount of cashews is [tex]1\frac{1}{4}\ \text{Pounds}[/tex]
Amount of almonds [tex]7\ \text{ounces}[/tex]
The amount of pecans is [tex]\frac{3}{4}\ \text{Pounds}[/tex]
We know, [tex]1\ \text{Pound}=16\ \text{Ounces}[/tex]
Converting pounds to ounces and adding them
[tex]\Rightarrow 1\dfrac{1}{4}\times 16+7+\dfrac{3}{4}\times 16\\\\\Rightarrow \dfrac{5}{4}\times 16+7+3\times 4\\\\\Rightarrow 20+7+12=39\ \text{ounces}\ or\ \dfrac{39}{16}\ \text{Pounds}[/tex]
Thus, the nuts weigh [tex]39\ \text{Ounces}[/tex]
Each Saturday, a store reduces the price of any unsold
item by 10%. If an item was priced at $80, on Saturday
of the first week it is marked down to $72. At the end of
the second week, it drops to $64.80, and at the end of
the third week the price is decreased to $58.32. If this
continues for 10 weeks, what should be the selling
price for an item that was originally priced at $80?
Answer: $27.89
Step-by-step explanation:
Since the price decreases every week by 10%, its is basically being marked down to 90% of its original value. We can construct an equation for this, where we have our original value, multiply by a modifier, and raise the modifier to a power equal to the number of weeks it is on sale. Since the original price was $80, that will be 80. Since it is 10% off, we will multiply by 0.9, and since its ten weeks, we will raise the 0.9 to the power of 10.
Thus, 80×0.9^10 = 27.89
You deposit $2,400 in an account that earns 1.9% annual interest. Find
the balance after 3 years if the interest is compounded monthly.
Remember this is $ so you round to 2 decimal places unless told to do
differently.
Answer:
$2471.53
Step-by-step explanation:
Use the compound amount formula:
A = P(1 + r/n)^(nt), where n is the number of compoundings per year
Here,
A = ($2,400)(1 + 0.019/12)^(12·3), or
($2,400)(1.0015)^36
= ($2,400)(1.026) =
= $2471.53
Find the missing side. Round to
the nearest tenth.
19
40°
[ ?
Answer:
14.6
Step-by-step explanation:
We solve using the Trigonometric function Cosine
cos θ = Adjacent/Hypotenuse
θ = 40°
Hypotenuse = 19
Adjacent = x
Therefore,
cos 40 = x/19
Cross Multiply
x = cos 40 × 19
x = 14.554844419
Approximately to the nearest tenth,
x = 14.6
Which equation represents the volume of a cone with the same base and height as the cylinder below?
VA
o cone - FK
O vocane rikk
o Yoone - 3 stk
O cone - 3x7K
Answer:
Step-by-step explanation:
23
Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 3 , 7 , 11 ,
Answer: this is an arithmetic sequence and the common difference is equal to -4
Step-by-step explanation:
To approach the runway, a pilot of a small plane must begin at 6 degrees,descent starting from a height of 1905 feet above the ground. To the nearest tenth of a mile, how many miles from the runway is the airplane at the start of this approach
Answer:
C. 3.5 mi
Step-by-step explanation:
Reference angle = angle of elevation
Angle of elevation = angle of depression = 6° (alternate angle theorem)
Hypotenuse = x
Opposite = 1905 ft
Apply trigonometric function SOH:
Sin 6° = Opp/Hyp
Sin 6° = 1905/x
x * Sin 6° = 1905
x = 1905/Sin 6°
x = 18,224.7 ft
Convert form feet to miles
1 mi = 5,280 ft
Therefore,
18,224.7 = 18,224.7/5,280
= 3.45164773 mi
≈ 3.5 mi (nearest mile)