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aivan3 [116]
3 years ago
11

Given a cone 10 feet tall with a diameter of 10 feet, determine the radius of the smaller cone created when a horizontal plane p

asses through the cone at exactly 4 feet from the base.
Mathematics
1 answer:
11111nata11111 [884]3 years ago
8 0

Answer:

r=3 ft

Step-by-step explanation:

it is similarity of two triangles

one

perpendicular side=10 ft

base=10/2=5 ft

second

perpendicular side=10-4=6 ft

Base r=?

\frac{r}{5}=\frac{6}{10}\\r= \frac{6}{10} \times 5=3~ft

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1 year ago
The zeros of a function are the values of x x for which the function is equal to zero. Enter a number in each blank to make true
Anit [1.1K]

Answer:

1 or 5

Step-by-step explanation:

Given the function h(x)=(2x−2)(x−5)

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Note that if a.b=0, either a=0 or b=0.

Appying the above,

If (2x−2)(x−5)=0

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2x−2=0 or x-5=0

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The zeroes of h(x) as defined are 1 or 5.

8 0
3 years ago
Write a formula for quadratic function if its graph has the vertex at point (0,6) and passes through the point (−1,−2).
d1i1m1o1n [39]

Answer:

y = - 8x² + 6

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (0, 6), thus

y = a(x - 0)² + 6, that is

y = ax² + 6

To find a substitute (- 1, - 2) into the equation

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4 0
2 years ago
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Answer:

1 + 1 - 1 + 1 - 0 x 0

8 0
2 years ago
Read 2 more answers
Hi I need question 5 solved using SOH CAH TOA!
Bond [772]

According to the trigonometric functions, we can see that angle x can be found through the one that involves the adjacent side and the hypotenuse, which in this case is the cos,

cos(x)=\frac{27}{30}

then, if we apply the inverse we can find the value of x,

\begin{gathered} cos^{-1}(cos(x))=cos^{-1}(\frac{27}{30}) \\ x\cong25.8 \end{gathered}

Answer:

x\cong25.8

5 0
1 year ago
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