If 2x = 5, 3y = 4, and 4z = 3, what is the value of 24xyz ?
Answers
3y = 4 ⇔ y = 4/3
4z = 3 ⇔ z = 3/4
⇒ 24xyz = 24 × 5/2 × 4/3 ×3/4 = 60
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What do a rectangle and a rhombus have in common? Select all that apply.The opposite sides are parallel. They have four right angles. Their angle measures add to 360°. They have four congruent sides.
find the area of a triangle with the following dimensions: a = 12 yards b=16 yards and c=24 yards round to the nearest square yard
What is the rate of change for the interval between 0 and 2 for the quadratic equation as f(x) = 2x2 + x – 3 represented in the table? (The table has this: Left side X and the options going down are -2, -1, 0, 1, 2. Right Side f(x) and the options going down are 3, -2, -3, 0, 7) THE ANSWER OPTIONS ARE: 1/5, 4, 5, 10
Answers
Which equation has the same solution as x²- 6x - 12 = 0
x^2 - 6x = 12
x^2 -6x + 9 = 12+9
x^2 -6x + 9 =21
(x-3)^2 = 21
So the answer will be (x-3)^2=21
Answers
Remark
The question is an application of the Tangent Function.
Tan(63) = Opposite / Adjacent
Givens
Opposite side = height of the tree = 50 feet.
Adjacent side = shadow length which we have to solve for.
Solution
Tan(63) = opposite/ Adjacent Add a 1 on the left so you have a proportion.
Tan(63)/ 1 = 60 / adjacent Cross multiply
Adjacent * Tan(63) = 1 * 60
Adjacent = 60 / tan(63)
Adjacent = 60 / 1.963
Adjacent = 30.57 feet.
Answers
Answer:
g=28
Step-by-step explanation:
an interior angle of polygon=( (n-2)*180)/n which n is the amount of side
30-sided regular polygon = ((30-2)*180)/30 = (28*180)/30 = 168
find g:
6g=168
g=168/6
g=28
Answers
Answer:
the radius is 10 m apprx
Step-by-step explanation:
height of the cylinder = = 4082
then
r= =10.0 m
Answer: A cylindrical water storage tank has an inside base radius of 7m and depth of 11 m. ... Let the depth of the tank be h metres.
Step-by-step explanation:
string is 125 ft long. How high is the kite off the ground?
Solution:
We are given the reference angle of 40° and the hypotenuse (125 ft) and asked to find the opposite side, how
high the kite is from the ground. We need to use the sine ratio. Let's set up our ratio first.
Sin
40
= x/ 125
Solve for a rounding to the nearest tenth.
2=
3
This represents the height of the kite from Hudson. In order to find the height of the kite, we must add the
Hudson's height (3 ft).
So, the kite is 6
ft. above the ground.
Check
The answers are not 80 and 83. I have tried that.
Answers
The kite is approximately 83.35 feet above ground.
What are trigonometric identities?
Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
To solve for height h, we will use sine as sine related opposite side of a right triangle with hypotenuse.
Sin = opposite side / hypotenuse
Sin 40 = x/ 125
x = Sin 40 (125)
x = 125 (0.642)
x = 80.3
In order to find the height of kite off the ground, wewill add the height of Hudson to 80.35 feet as well as he is flying the kite.
80.3 + 3 = 83.3 ft tall
Hence, the kite is approximately 83.35 feet above ground.
Learn more about trigonometric;
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Answer:
83.3 ft tall
Step-by-step explanation:
Round to 80.3 and add Hudson's height
80.3 + 3 = 83.3ft tall
Is it true or false??