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Tcecarenko [31]

2 years ago

6

The Impossible Triangle

1 answer:

Mashcka [7]2 years ago

6 0

Answer: Triangle 3

Step-by-step explanation:

The angle measures have to add to 180 degrees, so triangle 3 is impossible as it already exceeds this sum with the 2 given angles.

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A farmer has 220 bushels of wheat to sell it has roadside stand he sells an average of 14 and three-quarter bushels each day rep

REY [17]

Answer:

Total change in Sales of Bushels =116 $\frac{3}{4}$

Step-by-step explanation:

Total Bushels of Wheat= 220

Average Sale= $14*\frac{3}{4}$ per day

Average Sale per week = $7*14.75 =103.25$

Total change in Sales of Bushels = Total Bushels of Wheat - Average Sales per week

Total change in Sales of Bushels= $220- 103.25 = 116*\frac{3}{4}$

8 0

3 years ago

Help me asap! I will give you marks

Law Incorporation [45]

Recall the binomial theorem.

$(a+b)^n = \displaystyle \sum_{k=0}^n \binom nk a^{n-k} b^k$

1. The binomial expansion of $\left(1+\frac x3\right)^7$ is

$\left(1 + \dfrac x3\right)^7 = \displaystyle\sum_{k=0}^7 \binom 7k 1^{7-k} \left(\frac x3\right)^k = \sum_{k=0}^7 \binom 7k \frac{x^k}{3^k}$

Observe that

$k = 1 \implies \dbinom 71 \left(\dfrac x3\right)^1 = \dfrac73 x$

$k = 2 \implies \dbinom 72 \left(\dfrac x3\right)^2 = \dfrac73 x^2$

When we multiply these by $8-9x$ ,

• $8$ and $\frac73 x^2$ combine to make $\frac{56}3 x^2$

• $-9x$ and $\frac73 x$ combine to make $-\frac{63}3 x^2 = -21x^2$

and the sum of these terms is

$\dfrac{56}3 x^2 - 21x^2 = \boxed{-\dfrac73 x^2}$

2. The binomial expansion is

$\left(2a - \dfrac b2\right)^8 = \displaystyle \sum_{k=0}^8 \binom 8k (2a)^{8-k} \left(-\frac b2\right)^k = \sum_{k=0}^8 \binom 8k 2^{8-2k} a^{8-k} b^k$

We get the $a^6b^2$ term when $k=2$ :

$k=2 \implies \dbinom 82 2^{8-2\cdot2} a^{8-2} b^2 = 28 \cdot2^4 a^6 b^2 = \boxed{448} \, a^6b^2$

6 0

1 year ago

Pls, look at picture for the question.

Yuri [45]

Answer:

B<C

Step-by-step explanation:

-a is the opposite of a. Since a is a negative number, it will become positive and be bigger than b, which is negative.

c is a positive number, so the opposite will be negative and can not be bigger than c.

8 0

3 years ago

Match the vocab terms with the correct definition.

Anna007 [38]

7. compound events that that are not affected by other's outcomes

8 0

3 years ago

Read 2 more answers

Given the exact value for sides a and c.

Over [174]

Answer:

See below

Step-by-step explanation:

a = 15 sqrt 2 sin 45

= 15 sqrt 2 * sqrt( 2 ) /2 = 15 * 2 /2 = 15

sin 60 = a/c

sqrt(3)/2 = 15/c

c = 15 / ( sqrt(3)/2) = 30 / sqrt 3 = 30 sqrt 3 /3 = 10 sqrt 3

5 0

2 years ago