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Fiesta28 [93]
3 years ago
13

is a common external tangent to circles W and Y. What is the distance between the two centers of the circles? Round to the neare

st hundredth. (Hint: Draw segment connecting the centers of the two circles, and then draw a segment, , so that YS + SZ = YZ and .)

Mathematics
1 answer:
olasank [31]3 years ago
3 0

Answer:

WY=42.8\ units

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

In the right triangle WYS

Applying the Pythagoras Theorem

WY^{2}=WS^{2}+YS^{2}

we have that

WS=XZ=42\ units

YS=YZ-WX=19-11=8\ units

substitute

WY^{2}=42^{2}+8^{2}

WY^{2}=1,828

WY=42.8\ units

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A farmer is going to divide her 30 acre farm between two crops. Seed for corn costs $15 per acre. Seed for wheat costs $30 per a
Deffense [45]

Answer:

$3200

Step-by-step explanation:

The total area of land is 30 acre. Let x represent the area in acre that corn is planted and y represent the area in acre that wheat is planted. Therefore:

x + y = 30               (1)

Also, the farmer can spend at most $750 on seeds. Corn cost $15 per acre, maize cost $30 per acre. Hence:

15x + 30y ≤ 750      (2)

Also, x and y > 0

The profit is given by the function:

Profit = 100x + 110y

Graphing equation 1 and equation 2 and solving, we get the points:

(10, 20)

Hence the maximum profit is at:

Max profit = 100(10) + 110(20) = $3200

8 0
3 years ago
A ladder reaches the top of a 20 foot building. the ladder is 4.5 feet away from the building. how long is the ladder?
KATRIN_1 [288]

Answer:

C

Step-by-step explanation:

do that with pithagoras:

20² + 4,5² = x²

400 + 20,25 = x²

420,25 = x²

x = \sqrt{420,25}

x ~ 20,5

Letter C: 20,5 feet

4 0
3 years ago
Coefficiants of (2x+y)^4​
sattari [20]

By the binomial theorem,

(2x+y)^4=\displaystyle\sum_{k=0}^4\binom 4k(2x)^{4-k}y^k=\sum_{k=0}^4\binom 4k2^{4-k}x^{4-k}y^k

where

\dbinom nk=\dfrac{n!}{k!(n-k)!}

Then the coefficients of the x^{4-k}y^k terms in the expansion are, in order from k=0 to k=4,

\dbinom 402^{4-0}=1\cdot2^4=16

\dbinom412^{4-1}=4\cdot2^3=32

\dbinom422^{4-2}=6\cdot2^2=24

\dbinom432^{4-3}=4\cdot2^1=8

\dbinom442^{4-4}=1\cdot2^0=1

3 0
3 years ago
Find the missing term (need help)
katen-ka-za [31]

Answer:

x² - 10x + 34

Step-by-step explanation:

given the roots are x = 5 ± 3i then the factors are

(x - (5 + 3i))(x - (5 - 3i))

= (x - 5)² - 9i² ← expand (x - 5)²

= x² - 10 x + 25 + 9 → [ i² = - 1 ]

= x² - 10x + 34

the missing term is 10x



7 0
3 years ago
Whats 2.13×0.197 as a decimal
Tcecarenko [31]

Answer:

It's 0.41961.

8 0
3 years ago
Read 2 more answers
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