6) A geologist collects rocks. He has three types, sedimentary, metamorphic and
igneous. The ratio of sedimentary rocks to metamorphic rocks is 2:3.
The ratio of metamorphic to igneous is 9:10.
What is the ratio of sedimentary to igneous?

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Work Shown:

Apply the Law of Sines to get the following. Make sure your calculator is in degree mode.

[tex]\frac{\sin(A)}{a}=\frac{\sin(B)}{b}=\frac{\sin(C)}{c}\\\\\frac{\sin(A)}{a}=\frac{\sin(C)}{c}\\\\\frac{\sin(20)}{4}=\frac{\sin(87)}{c}\\\\c*\sin(20)=4*\sin(87)\\\\c=\frac{4*\sin(87)}{\sin(20)}\\\\c\approx 11.6791897\\\\c\approx 11.7\\\\[/tex]

So that's why the answer is choice D) 11.7

Answer:

[tex]x=10[/tex]

Step-by-step explanation:

A secant is a line segment that intersects a circle in two places. One property of a secant is the product of the lengths ratio. This ratio can be described as the following, let ([tex]inside[/tex]) refer to the part of the secant that is inside the circle, and ([tex]outside[/tex]) refer to the part that is outside of it. ([tex]total[/tex]) will refer to the entirety of the secant or ([tex]inside+outside[/tex]). The numbers (1) and (2) will be used as subscripts to indicate that there are two different secants.

[tex](outside_1)(total_2)=(outside_2)(total_2)[/tex]

Substitute,

[tex](outside_1)(total_2)=(outside_2)(total_2)[/tex]

[tex](outside_1)(inside_1+outisde_1)=(outside_2)(inside_2+outside_2)[/tex]

[tex](6)(6+x+5)=(7)(7+x+1)[/tex]

Simplify,

[tex](6)(6+x+5)=(7)(7+x+1)[/tex]

[tex]6(x+11)=7(x+8)[/tex]

[tex]6x+66=7x+56[/tex]

Inverse operations,

[tex]6x+66=7x+56[/tex]

[tex]66=x+56[/tex]

[tex]10=x[/tex]

Hi there!  

»»————-　★　————-««

I believe your answer is:  

D) 8

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'b'...}}\\\\\sqrt[3]{b} =2\\--------------\\\rightarrow ( \sqrt[3]{b} )^3= 2^3\\\\\boxed{b = 8}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

here

5k - 4p + 3k + 2p

=5k + 3k - 4p + 2p

=8k - 2p ans.

Answer: 8k -2p

Working:

= 5k - 4p + 3k + 2p

= 5k + 3k + 2p - 4p

= 8k - 2p

Answered by Gauthmath must click thanks and mark brainliest

Answer:

Jeff read 5/28 of a book in 1 hour.

Step-by-step explanation:

The rate given is 5/7 of a book read in 4 hours.

If the questions asks how much he read in 1 hour, it means the answer needed is a unit rate.

A unit rate is a rate per unit. In this case, a rate per hour.

Let’s find how much Jeff read in 1 hour:

5/7 in 4 hours is the rate given so:

5/7 ÷ 4

= 5/7 x 1/4

= 5/28 (already simplified/final answer)

SO, Jeff read 5/28 of the book in 1 hour.

Brainliest? Hope this helped!

Answer:

y=-4x

Step-by-step explanation:

Parallel to the line, slope is - 4. The equation of line is y=-4x

Answer:

800

Step-by-step explanation:

0℅ decrease of 800=800

Answer:

0

Step-by-step explanation:

We can find the slope by using the slope function

m = (y2-y1)/(x2-x1)

    = (-3 - -3)/(-2 - 6)

    = (-3+3)/(-2-6)

   = 0/-8

  = 0

To calculate the slope use the gradient formula.

[tex] \bf \Large \: m \: = \: \frac{y_2 \: - \: y_ 1}{x_2 \: - \: x_ 1} \\ [/tex]

[tex] \bf \large\longrightarrow \: y_2 \: = \: - 3[/tex]

[tex]\bf \large\longrightarrow \: y_1 \: = \: - 3[/tex]

[tex]\bf \large\longrightarrow \: x_1 \: = \: 6[/tex]

[tex]\bf \large\longrightarrow \: x_2 \: = \: - 2[/tex]

[tex]\bf \Large \: m \: = \: \frac{( - 3 )\: - \: (- 3)}{ (- 2) \: - \: 6} \\ [/tex]

[tex]\bf \Large \: m \: = \: \frac{ \: 0 }{ - 8 \: \: } \\ [/tex]

[tex]\bf \Large \: m \: = \: \cancel\frac{ \: 0 }{ - 8 \: \: } \: ^{0} \\ [/tex]

[tex]\bf \Large \: m \: = \: 0[/tex]

Answer:

is there a question?

Step-by-step explanation:

Answer:

15/5=?/8

Step-by-step explanation:

3=?/8 ?=24 it can help you

Assuming you want to do a cartesian product, then you basically form items (x,y)  such that x is in set A, and y is in set A

More generally, A * B will consist of items of the form (x,y) such that x is in A and y is in B. However, we have B = A.

So,

A * A = {

(a,a), (a,b), (a,c)

(b,a), (b,b), (b,c)

(c,a), (c,b), (c,c)

}

I broke things up into separate rows to show that we can form a 3x3 table. Each row is a different x value from the set {a,b,c}. Each column is a different y value from the set {a,b,c}

In my opinion, this helps organize things much better than rather have it all on one single line like this

A * A = { (a,a), (a,b), (a,c), (b,a), (b,b), (b,c), (c,a), (c,b), (c,c) }

which in all honesty looks like a bit of a cluttered mess.

Answer:

Step-by-step explanation:

A={a,b,c}

A×A={a×a,a×b,a×c,b×a,b×b,b×c,c×a,c×b,c×c}

Answer:

Center ( 4 , -2) and r = 6

Step-by-step explanation:

x² - 8x + y² + 4y - 16 = 0

x² - 8x  + y² + 4 y = 16

x²- 2*4x + y² + 2 *2y = 16

(x² - 2*4x + 16 ) - 16 + (y² + 2*2y + 4) -4 = 16

(x - 4)² + (y + 2)² = 16 + 16 + 4

(x - 4)² + (y -[-2])² = 36

(x- 4)² + ( y - [-2] )² = 6²

Compare with (x - h)²+ (y - k)² = r²

Center ( 4 , -2) and r = 6

Answer:

y + 1 = 2(x+1)

Step-by-step explanation:

hope this helps

Answer:

4/15

Step-by-step explanation:

Probability is the ratio of the number of possible outcome to the number of total outcome.

Given that the bag contains 2 yellow and 4 orange marbles, the probability of picking a

Yellow marble = 2/(2+4) = 2/6

Orange marble = 4/(2+4) = 4/6

The probability of picking a yellow marble and an orange  marble without replacement

= 2/6 * 4/5

= 8/30

= 4/15

the value of 4 tenths x hundreds.

4000

Answer:

40

Step-by-step explanation:

4/10 x 100 = 40

Answer: A) 4

Explanation:

For any 30-60-90 triangle, the short leg is half as long as the hypotenuse.

The short leg is opposite the smallest angle (30 degrees), so we see that

x = 8/2 = 4.

Answer:

Does the answer help you?

Answer:

A = 803.84

General Formulas and Concepts:

Symbols

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Area of a Circle Formula: A = πr²

Step-by-step explanation:

Step 1: Define

Identify

r = 16

Step 2: Find Area

Answer:

The proportion of the pooled samples is 0.54.

Step-by-step explanation:

We have that:

70% of men own cats.

The proportion of men in the sample is:

[tex]\frac{170}{170+190} = 0.4722[/tex]

40% of women own cats.

The proportion of women in the sample is: 1 - 0.4722 = 0.5278

Proportion of the pooled samples

[tex]p = 0.7*0.4722 + 0.4*0.5278 = 0.54[/tex]

The proportion of the pooled samples is 0.54.

Answer:

0.16666...

6/36

2/12

3/18

4/24

5/30

There's a lot of things.

Step-by-step explanation:

we first find area of the whole shape outer core which is

we use the fomulae of a circle 22/7 represent pie

=1/2 *22/7*8,5

=13,36

then we find the inner core of the shape which is

1/2*22/7*5,5

=8,64

then we substracte to get the shaded part 13,36-8,64

=4,72cm

Answer:

≈ 16.5 cm²

Step-by-step explanation:

The area of the bar (A) is

(area of outer circle - area of inner circle) ÷ 2

r₂ = 8.5 ÷ 2 = 4.25 , r₁ = 5.5 ÷ 2 = 2.75 , then

A = (πr₂² - πr₁²) ÷ 2

   = (π(r₂² - r₁²) ) ÷ 2

   = (π(4.25² - 2.75²) ) ÷ 2

   = (π(18.0625 - 7.5625) ) ÷ 2

   = (10.5π)÷ 2

   ≈ 16.5 cm² ( to the nearest tenth )

Answer:

50 km

Step-by-step explanation:

c = √a^2+b^2

=√30^2+40^2

= √900 + 1600

=√2500

= 50 km

Answer:

50km

Step-by-step explanation:

Answer:

0.48 is ......

[tex]0.48 < 2.1[/tex]

Answer:

((3.55)^2+(4.12)^2+(4.41)^2)/2(3.55)*(4.12)

=358.519825

Step-by-step explanation:

I just used this website called mathpapa.com, extremely useful for algebra calculations. Here's the link if you need it

https://www.mathpapa.com/algebra-calculator.html

Answer:

1246 teams

Step-by-step explanation:

We are told there are 7women & 6men.

If 5 people are selected and there must be more women than men in the team.

This means there must be a minimum of 3 women.

Thus;

For 3 women;

7C3 × 6C2 = 525

For 4 women;

7C4 × 6C3 = 700

For 5 women;

7C5 × 6C0 = 21

Thus;

Total = 525 + 700 + 21 = 1246 teams

Answer:

Step-by-step explanation:

x+2y=-2

2y=-x-2

y=-x/2-2/2

y=-x/2-------(1)

y=1/2x-5-----(2)

(1)=(2)

-x/2=1/2x-5

-x=x-10

-2x=-10

x=5

substitute in 2

         y=(1/2)*5-5

           =5/2-5

          =-2.5

Answer:

(x+8)(x+7)

Step-by-step explanation:

Find two numbers that add to

b

and mulitply to

a*c

so find two numbers that add to

15

and mulitply to

56

Those two numbers are 8 and 7

therefore the answer is

(x+8)(x+7)

Answer: 18

Step-by-step explanation: Factor of 18 are: 1, 2, 3, 6, 9, 18

Factor of 36 are : 1, 2, 3, 4, 6, 9, 12, 18, 36

Hope that helps

Answer:

18

Step-by-step explanation:

listing the factors

factors of 18 are 1, 2, 3, 6, 9, 18

factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36

The common factors are 1, 2, 3, 6, 9, 18

with GCF being 18

Answer:

4/9

Step-by-step explanation:

negative exponent means 1/...

so, this is

(32/243)^(4/10) = (32/243)^(2/5)

that means to the power of 2 and then pulling the 5th root.

so, let's pull the 5th root first, and then we square

(32/243)^(2/5) = (2⁵/3⁵)^(2/5) = (2/3)^2 = 4/9