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2 years ago

Please answer this question now

Mathematics

1 answer:

docker41 [41]2 years ago

5 0

Answer:

$\boxed{u = 6.0}$

Step-by-step explanation:

Using the cosine rule

$c^2= a^2+b^2-2abCosC$

Here c = u , a = 11 , b = 12 and C = 30

$u^2 = 11^2+12^2-2(11)(12)\ Cos 30\\u^2 = 121+144-2(132)(0.866)\\u^2 = 265-228.6\\u^2 = 36.37$

Taking sqrt on both sides

u = 6.0 (To nearest tenth)

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Semicircles

Studentka2010 [4]

Answer:

The area of the shaded portion of the figure is $9.1\ cm^2$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The shaded area is equal to the area of the square less the area not shaded.

There are 4 "not shaded" regions.

step 1

Find the area of square ABCD

The area of square is equal to

$A=b^2$

where

b is the length side of the square

we have

$b=4\ cm$

substitute

$A=4^2=16\ cm^2$

step 2

We can find the area of 2 "not shaded" regions by calculating the area of the square less two semi-circles (one circle):

The area of circle is equal to

$A=\pi r^{2}$

The diameter of the circle is equal to the length side of the square

$r=\frac{b}{2}=\frac{4}{2}=2\ cm$ ---> radius is half the diameter

substitute

$A=\pi (2)^{2}$

$A=4\pi\ cm^2$

Therefore, the area of 2 "not-shaded" regions is:

$A=(16-4\pi) \ cm^2$

and the area of 4 "not-shaded" regions is:

$A=2(16-4\pi)=(32-8\pi)\ cm^2$

step 3

Find the area of the shaded region

Remember that the area of the shaded region is the area of the square less 4 "not shaded" regions:

$A=16-(32-8\pi)=(8\pi-16)\ cm^2$

---> exact value

assume

$\pi =3.14$

substitute

$A=(8(3.14)-16)=9.1\ cm^2$

8 0

3 years ago

Seed mixture X is 40 percent ryegrass and 60 percent bluegrass by weight; seed mixture Y is 25 percent ryegrass and 75.percent f

irinina [24]

Answer:

33%

Step-by-step explanation:

Assuming the weight of the mixture to be 100g**, then the weight of ryegrass in the mixture would be 30g.

Also, assume the weight mixture X used in the mixture is Xg, then the weight of mixture Y used in the mixture would be (100-X)g.

So we can now equate the parts of the ryegrass in the mixture as:

0.4X + 0.25(100-X) = 30

<=> 0.4X + 25 - 0.25X = 30

<=> 0.15X = 5

<=> X = 5/0.15 = 500/15 = 100/3

So the weight of mixture X as a percentage of the weight of the mixture

= (weight of X/weight of mixture) * 100%

= (100/3)/100 * 100%

= 33%

3 0

3 years ago

Please help me with my algebra homework thank you

kumpel [21]

Answer:

a.) 5x

b.) 6xy

c.) 6xy

Step-by-step explanation:

5 * x = 5x

6 * x * y = 6xy

2 * x * 3 * y = 6xy

7 0

2 years ago

Read 2 more answers

Q #7 please solve the equation

pishuonlain [190]

The relation between a and s is given to be:

a = 640s

where,

a = number of acres
s = number of square miles

We are to find the number of acres for 7.5 square miles.

This means, s = 7.5

Using the value in the formula, we get:

a = 640 x 7.5 = 4800 acres

So the answer to this question is option B

8 0

3 years ago

HURRY BRAINLIEST AND 40 POINTS!!!

olganol [36]

ANSWER:
Instead of greater than, the inequity symbol should be greater than or or equal to.

Step-by-step explanation:
We know the variable x represents the number of students. We also know there are 5 chaperones attending; this makes x+5 , by 2.50
It costs $2.50 per person; this means we multiply the number of people, x+5, by 2.50:

2.50(x+5)

The class has $90 to spend; this means they can spend up to and including $90. This gives us
90>2.50(x+5)
_

3 0

2 years ago

Read 2 more answers