Q1
A container has length 9750mm, width 6200mm and height 5500mm -
{a) Calculate its floor area in m2
(b) Calculate its volume in m3
Answer:
(a) 60.45 m2.
(b) 332.475 m^3.
Step-by-step explanation:
(a) area = length * width
= 9750 * 6200
= 60450000 mm^2
There are 1000*1000 = 1,000,000 mm^2 in 1 m^2 so the area in m^2
= 60.45 m^2.
(b) The height in meters is 5500 / 1000 = 5.5 m
Volume = area of floor * height
= 60.45 * 5.5
= 332.475 m^3.
Find the volume of a right circular cone that has a height of 7.5 m and a base with a
radius of 14.7 m. Round your answer to the nearest tenth of a cubic meter.
r = radius h = height s = slant height V = volume L = lateral surface area B = base surface area A = total surface area π = pi = 3.14159 √ = square root
Answer:
1697.2 <3
i got it right
find the value of x in a triangle. x-20, x+10, x-20
The value of the angles should be. (x-40°). , (x-20°), (½x-10°) , not (x-40°) + (x-20°)+(½x-10°)
Sum of all the interior angles of a triangle is 180°.
So a equation can be made by the given data,
(x-40°) + (x-20°) + (½ x-10°) = 180°
x-40°+x-20°+½x-10° = 180°
2x+½x -60°-10° = 180°
5/2 x - 70° = 180°
5/2 x = 180° + 70°
5/2 x = 250°
x = 250° × 2/5
x = 50° × 2
x = 100°
So the angles are
x-40° = 100°-40° = 60°
x-20° = 100°–20° = 80°
½x-10° = ½(100)° - 10° = 50° -10° = 40°
The answer can be checked by putting the values of the angle we got in the second statement i.e. Sum of all the interior angles of a triangle is 180°.
60° + 80° + 40° = 100° + 80° = 180°
SOMEONE HELP PLEASE!IM SO CONFUSED
9514 1404 393
Answer:
arc MKL ≈ 19.02 m
Step-by-step explanation:
The figure shows angle KNL is the complement of angle KNJ, so is ...
∠KNL = 90° =∠KNJ
∠KNL = 90° -52° = 38°
We know that KM is a diameter, so arc MJK = 180°, and ...
arc MKL = 180° +38° = 218°
In radians, that angle measure is ...
218° × π/180° rad = 109π/90 rad
An arc length is given by the formula ...
s = rθ . . . . . where r is the radius and θ is the radian measure of the arc
For this problem, the radius is MN = 1/2MK = 5 m, and the length of arc MKL is ...
s = rθ
arc MKL = (5 m)(109π/90) = 109π/18 m
arc MKL ≈ 19.02 m
A woodworker constructed a chest from two types of
wood: cherry and maple. The cherry costs $5.80 per
foot, while the maple costs $4.20 per foot. The two
types of wood cost $31.60 total and the worker used a
total of 6 feet of wood.
How much cherry wood did she use? How much
maple wood?
Answer:
cherry= 4ft
maple = 2ft
Step-by-step explanation:
5.80c + 4.20m = 31.60
when we set this equation to the side of page we see
31.60 / 6 = 5.2
if he used 6ft then we can see that 5.2 is the equation
5.8cn + 4.2mn = 5.2
4(5.8c) + 2(4.2m) = 31.60
proves the 5.2 was a higher distribution than the 4.2
= 4 cherry and 2 maple
Each patron can borrow the books for 2 weeks and a renew the loan twice. What is the maximum number of days can a patron keep the books he borrowed from the library?
1) A circle has a diameter of 16 cm. Find its circumference. (Use the calculator's value
of 7. Round your answer to the nearest tenth.).
Answer:
1) A circle has a diameter of 16 cm. Find its circumference=πd=π×16=16π=50.265=50.27=50cm
You earn $62.50 shoveling snow off of 5 driveways. You charge the same amount for each driveway. How much did you earn for each driveway?
Answer:
the answer is 62.5/5=12.5
Answer:
12.5
Step-by-step explanation:
62.50 ÷ 5 = 12.5
Hope this helps!
Given Brainly to who ever help
In what time will Rs 24000 amount to Rs 30000 at 10% p.a.?
Answer:
2.5 years
Step-by-step explanation:
Given data
Principal= Rs 24000
Final amount A= Rs 30000
Rate r= 10%
The simple interest expression is
A=P(1+rt)
substitute
30000=24000(1+0.1*r)
30000=24000+2400t
30000-24000=2400t
6000=2400t
t= 6000/2400
t=2.5
Hence the time is 2.5 years
3. Jaselle earned $80.00 raking leaves. This is 8 dollars more than 4 times the amount that Dillon
earned. How much did Dillon earn?
(25 Points)
Answer:
Step-by-step explanation:
So, Jaselle has $80.00.
This is 8 dollars more than 4 times the amount that Dillon
earned.
$80.00 - 8.00 = $72.00
4 Times average amount = $72.00
Average (begining amount) = $18.00
I HOPE THIS HELPS :3
(-4k⁴+14+3k²)+(3k⁴-14k²-8) write answer in standard form
PLEASE HELP!
Find the indicated side of the triangle.
Answer:
Step-by-step explanation:
Because a and b are both opposite 45 degree angles, a=b. Using the Pythagorean Theorem we can say.
[tex]2a^2=28^2\\ \\ 2a^2=784\\ \\ a^2=\frac{784}{2}\\ \\ a=\sqrt{\frac{784}{2}}\\ \\ a=\frac{28}{\sqrt{2}}[/tex]
9514 1404 393
Answer:
a = b = 28/√2
Step-by-step explanation:
The ratios of side lengths in an isosceles right triangle are ...
1 : 1 : √2 = a : b : 28
If we multiply the first ratio numbers by 28/√2, we get ...
1 : 1 : √2 = (28/√2) : (28/√2) : 28
That is, ...
a = b = 28/√2
_____
Alternate solution
Once you realize the triangle is isosceles, so that a=b, then you can use the Pythagorean theorem.
a^2 + a^2 = 28^2
2a^2 = 28^2 . . . . . . simplify
a√2 = 28 . . . . . take the positive square root
a = b = 28/√2
Identify the values of a, b, and c in the following quadratic equation. 6x 2 + x - 6 = 0
Answer:
[tex] a = 6 \\ b = 1 \\ c = - 6[/tex]
Step-by-step explanation:
[tex]6x^{2} + x - 6 = 0 \\ equating \: it \: with \\ a {x}^{2} + bx + c = 0 \\ a = 6 \\ b = 1 \\ c = - 6[/tex]
Utilizar la recta numerica para calcular:
a) 12 + 2 =
b) 4 − 7 =
c) 8 − 2 =
d) −9 + 3 =
e) −14 + 5 =
f ) −6 − 6 =
g) −11 − 2 =
h) −3 − 8 =
Answer:
a) 14
b) -3
c) 6
d) -6
e) -9
f) -12
g) -13
h) -11
If janice plays a game once and the probability of getting yellow is 0.24. How many times will the color shown be yellow if she plays 50 times?
Answer: 12
Step-by-step explanation:
Given
The probability of getting yellow color is 0.24
If the no of trials is 50
[tex]\text{No. of times yellow color shown(N) is}=p\times \text{no of trails}\\\Rightarrow N=0.24\times 50=12\ \text{times}[/tex]
Yellow color appears 12 times
Find the length of midsegment JN in the trapezoid.
Answer:
JN = 18.6
Step-by-step explanation:
Theorem: The length of the midsegment of a trapezoid is the average of the bases.
[tex]JN = \frac{15.4 + 21.8}{2}[/tex]
[tex]= \frac{37.2}{2}[/tex]
= 18.6
See how easy that is when you know the theorem.
Line l has equation y=-3. Find the distance between l and the point E(-7,0).
Round to the nearest tenth.
Answer:
The given line has slope m=1
the perpendicular line MUST have slope -1
Since it MUST eat (-3,2), the intercept formula says
B = y - mx = 2 - (-1)(-3) = 2 - 3 = -1
so the equation of the perpendicular line that eats point W is
y = -x -1
The lines y=x+3 and it's perpendicular y = -x-1 intersect at
y = x+3 = -x-1
2x+3 = -1
2x = -4
x = -2
THe intersection point is
(-2,1)
Finally by distance formula,
The distance between (-3,2) and (-2,1) is
sqrt ( (-3 - -2)^2 + ( 2-1)^2)
= sqrt( (-3 + 2)^2 + (2-1)^2)
= sqrt( (-1)^2 + 1^2)
= sqrt ( 1+1)
= sqrt(2)
Step-by-step explanation:
The distance between line l and the point E (-7, 0) will be;
D = 3.
What is distance between point and line?
The distance between a line ax + by + c = 0 and point (p, q) will be;
D = |ap + bq + c|/√a² + b²
Given that;
Equation of line;
y = -3
And, Point = E (- 7, 0)
Hence, The distance between a line and point is calculated as;
Equation of line;
y = -3
y + 3 = 0
Compare with ax + by + c = 0, we get;
a = 0, b = 1 and c = 3
And, Point = (p, q) = (-7, 0)
Thus, The distance between a line and point is;
D = |0 + 0 + 3|/√0+1
D = 3
So, The distance between line l and the point E (-7, 0) will be;
D = 3.
Learn more about the equation of line visit:
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hi please help i’ll give brainliest please
Answer:
6^3=6×6×6=216. So, the answer is 6x6x6 and 216.
Answer:
6x6x6, 3x3x3x3x3x3, 216
Step-by-step explanation:
6 to the third power is 6 times 6 times 6, also it's equal to 3 to the sixth power, also it's equal to 216.
Rewrite the equation in Ax+By=C form.
Use integers for A, B, and C.
y+2=3 (x-6)
Answer:
Step-by-step explanation:
It x=2
GIVING BRAINLIEST!!!! Please help :(
Select the statement that describes this expression: (10 − 3) x 4 + 5.
A) 10 subtract 3 times 4 minus 5
B) 5 more than the difference of 10 and 3
C) Multiply 4 by the difference of 10 and 3, then add 5
D) 4 times the difference of 5 more than 10 and 3
You mix 4/5 quart of blue paint for every 1/3 quart of red paint to make 3 2/5 quarts of purple paint. How much blue paint and how much red paint do you use?
Answer:
1 quarts of red paint
2.4 quarts of blue paint
Step-by-step explanation:
Let :
a = quarts of blue paint
b = quarts of red paint
a + b = 3 2/5
a + b = 3.4 - - - (1)
Ratio of a and b :
a/b = 4/5 ÷ 1/3 = 4/5 * 3/1 = 2.4
a/b = 2.4
a = 2.4b - - (2)
From (1)
2.4b + b = 3.4
3.4b = 3.4
b = 1
a + b = 3.4
a + 1 = 3.4
a = 3.4 - 1
a = 2.4
easy slope question need answer FAST
Answer:
Assuming that the scale is 1, x int: (-4,0), y int: (0,-3)
Step-by-step explanation:
Hope this helps :)
From a point on the ground 47 feet from the foot of a tree, the angle of elevation of the top of the tree is 35 degrees . Find the height of the tree and show your work please.
Answer:
33
Step-by-step explanation:
Identify the metaphors by dragging and dropping each example into the correct category. The sky is a blanket of stars Metaphors Similes The sky is like a blanket stars His words are as sharp as daggers His words are daggers , His words are live daggers
Answer:
the sky is a blanket of stars and his words are daggers are metaphors the rest are similes
Step-by-step explanation:
i did it on edg
Metaphors:
The sky is a blanket of stars
His words are daggers
Similes:
The sky is like a blanket of stars
His words are as sharp as daggers
His words are live daggers
We have,
Metaphors and similes are both figures of speech used to make comparisons between two unrelated things.
They create vivid and imaginative descriptions by equating or likening one thing to another.
Metaphors directly state that one thing is another thing, without using "like" or "as."
They make a direct comparison by asserting that something is something else.
For example, "The sky is a blanket of stars" compares the sky to a blanket of stars, implying that the sky is vast and filled with numerous stars.
Similes, on the other hand, use "like" or "as" to make a comparison between two things.
They highlight similarities by stating that one thing is like or resembles another thing.
For instance, "The sky is like a blanket of stars" implies that the sky shares some characteristics with a blanket of stars, such as its vastness and the sense of being covered.
Thus,
Metaphors:
The sky is a blanket of stars
His words are daggers
Similes:
The sky is like a blanket of stars
His words are as sharp as daggers
His words are live daggers
Learn mroe about metaphors and smiles here:
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What number is 50 % of 6/5
Answer:
3/5.
Since the numerator is an even number, you can simply remove half of it.
A section of a deck is shaped like a trapezoid. For this section, the length of one base is 57 feet, and the length of the other base is 22 feet. The height is 16 feet. What is the area of this section of the deck?
Answer:
A=1089
Step-by-step explanation:
Area of a trapezoid= (big base+small base)/2 x height
A=(67+54)/2 x 18
A=60.5 x 18
You deposited $10,000 into a savings account that compounds quarterly. The account has an interest rate of 3%. What would be the value after 30 years?
Answer:
$24272.62
Step-by-step explanation:
Given data
Principal= $10,000
Rate= 3%
Time = 30 years
The expression for the compound interest is given as
A= P(1+r)^t
Substitute
A=10000(1+0.03)^30
A=10000(1.03)^30
A=10000*2.4272
A= 24272.62
Hence the final Amount A=$24272.62
How do I solve this problem? Thank you.
2. The mean of 5 numbers is 10. The median is 13. What might the numbers be?
Find 2 different answers.
Mean is the average.
10 x 5 = 50
All 5 numbers need to add up to 50.
Median is the middle value, so there are 2 numbers below 13 and 2 numbers above 13.
Since the middle number is 13, the other 4 numbers must add up to equal 37 (50-13 = 37)
4 +3 = 7
14+16 = 30
1 set could be 3, 4 ,13, 14, 16
A 2nd set could be:
1 +2 = 3
16 + 18 = 34
1,2,13,16,18