Answer:
Option D: 10.7 is the correct answer.
Step-by-step explanation:
Given that:
Hypotenuse of right triangle = 14
Height of right triangle = 9
Length of missing side = b
We can solve for missing side length by using Pythagorean theorem;
Here,
a = 9 , c = 14
Subtracting 81 from both sides
Taking square root on both sides
The length of missing side is 10.7
Hence,
Option D: 10.7 is the correct answer.
Answer:12.59
Step-by-step explanation:
enter image source here
From the diagram you can see that we have constructed a right triangle, with height A and base 15.
Length of shadow = 15 feet.
Height of flagpole = A.
We know the angle of elevation is
40
∘
. Using this angle and the tangent ratio, we can find A.
tan
(
40
∘
)
=
opposite
adjacent
=
A
15
∴
tan
(
40
∘
)
=
A
15
Rearranging:
A
=
15
tan
(
40
∘
)
By calculator:
A
=
12.59
feet. ( 2 d.p.)
Correct question:
Beth is making a beanbag seat in the shape of a cube. Each side of the seat is 2 feet long. Beth needs to find the volume of the seat so that she can buy the correct amount of beans. Beans are sold in bags that hold 2³ feet of beans. How many bags of beans should Beth buy?
Answer:
Beth should buy 4 bags of beans.
Step-by-step explanation:
Since Beth is making a bean bag seat in the shape of a cube, we already know the bean bag seat is a cuboid.
Also, we are asked to find the volume of a cuboid, and the volume of a cuboid is given as the product of all dimensions of the cuboid.
Therefore the volume of the seat is expressed as
V = 2 * 2 * 2
V = 8
To find the number of bags she needs, we have:
Beth needs to buy 4 bags of beans
9514 1404 393
Answer:
- rewrite: 2x^2 +5x +20x +50
- factored: (x +10)(2x +5)
Step-by-step explanation:
I find this approach the most straightforward of the various ways that trinomial factoring is explained or diagramed.
You want two factors of "ac" that have a total of "b". Here, that means you want factors of 2·50 = 100 that have a total of 25. It is helpful to know your times tables.
100 = 1·100 = 2·50 = 4·25 = 5·20 = 10·10
The sums of these factor pairs are 101, 52, 29, 25, and 20. We want the pair with a sum of 25, so that's 5 and 20.
The trinomial can be rewritten using these factors as ...
2x^2 +5x +20x +50
Then it can be factored by grouping consecutive pairs:
(2x^2 +5x) +(20x +50) = x(2x +5) +10(2x +5) = (x +10)(2x +5)
_____
<em>Additional comment</em>
It doesn't matter which of the factors of the pair you write first. If our rewrite were ...
2x^2 +20x +5x +50
Then the grouping and factoring would be (2x^2 +20x) +(5x +50)
= 2x(x +10) +5(x +10) = (2x +5)(x +10) . . . . . same factoring
Answer: <em>46º</em>
Step-by-step explanation:
The Triangle Sum Theorem states that all triangles’ angles add up to a total of 180º. Therefore, to find X, just set up an equation.
70+64+X=180
134+X=180
-134 -134
X=46
Hope this helps!