Answer:
25.2°C
Step-by-step explanation:
Find the difference: 22.8-(-2.4)=22.8+2.4=25.2
Therefore, the temperature range in the city that day was 25.2°C
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.
A parallelogram always have four right angles*
A. True
B. False
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
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
What is the domain of the function shown on the graph?
Answer:
-1 i think
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.
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
PLS PLSSS HURRY I NEED HELP
Answer:
look at the picture i have sent
Find X, AB, BC, and AC if ABC is equilateral.
X =
AB =
BC =
AC =
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
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]
Today, everything at a store is on sale. The store offers a 20% discount.
A. The regular price of a T-shirt is $18. What is the discount price?
B. If the regular price of an item is x dollars, what is the discount price in dollars
C. The discount price of a hat is $18. What is the regular price?
(Answer each question please.)
Answer:
A. 14.4
b. x-20%
c. 23 dollars
Step-by-step explanation:
you have to take away the 20% or multiply the price by 0.2 which is 20%
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
Item 3
Jasmine started swim practice at 11:35 a.m. She finished swim practice at 1:18 p.m.
How long was Jasmine's swim practice?
1 hour 17 minutes
1 hour 43 minutes
2 hours 17 minutes
2 hours 43 minutes
Answer:
1 hour and 43 min
Step-by-step explanation:
I TOOK THE TEST IN K12
Simplify the expression and then substitute the given number for the variable. For expression 8a2+6b+9a2+9b2+3b, find the value if a=2,b=−1.
Answer: 68
Step-by-step explanation:
Simplifying the expression:
= 8a² + 6b + 9a² + 9b² + 3b
Collect like terms
= 8a² + 9a² + 6b + 3b + 9b²
= 17a² + 9b + 9b²
We then substitute a=2,b=−1.
= 17a² + 9b + 9b²
= 17(2)² + 9(-1) + 9(-1)²
= 68 -9 + 9
= 68
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
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
1) One baseball team won 20 games throughout their entire season. Of all their games, this
team won 62.5% of them. Given this, how many games in total did this baseball team play
Answer: 32 matches
Step-by-step explanation:
Let the games in total that the baseball team played be represented by x.
Based on the information given in the question, we can form an equation as:
62.5% × x = 20
62.5/100 × x = 20
0.625 × x = 20
0.625x = 20
x = 20/0.625
x = 32
The team played a total of 32 matches.
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.
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 ^^
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:
HELP ASAP!! HELP FAST PLEASE!!!
Answer:
(4x^5)^1/3
Step-by-step explanation:
Create a number line. Plot the following numbers on the number line: 5, -10, 20, -5, 0, 10, -20
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
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)
Someone help and plz make sure it’s RIGHT NO FLIES/LINKS/WEBSITES PLZ and will mark brainiest
Answer:
I'm pretty sure it's 18 degrees
Step-by-step explanation:
Select THREE expressions equivalent to –81x + 27.
A. –9(9x – 3)
B. –9(–9x – 3)
C. 3(–27x + 9)
D. –3(27x – 9)
E. –3(–27x + 9)
Answer:
A, C, and D
Step-by-step explanation:
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.
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
Which property is being used here?
5.2345 x 1 = 5.2345
Answer:
The identity property
Step-by-step explanation:
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