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Tanzania [10]
2 years ago
8

A miner for gold digs at a constant rate. They were able to dig -90 feet in 6 hours. How long have they been digging if they dug

-225 feet?
Mathematics
1 answer:
Pachacha [2.7K]2 years ago
7 0

Answer:

he will dig for 15 hours

Step-by-step explanation:

if a miner digs —90 feets in 6 hours

then he will dig –225 feet in x hours

—225 feet x 6 hours /—90 feet = 15 hours

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Given: circle k(O), m<br> LM<br> = 164°<br> m<br> WK<br> = 68°, m∠MLK = 65°<br> Find: m∠LMW
Semenov [28]

Let P be a point outside the circle such that triangle LMP has legs coincident with chords MW and LK (i.e. M, W, and P are colinear, and L, K, and P are colinear). By the intersecting secants theorem,

m\angle LPM=\dfrac{m\widehat{LM}-m\widehat{WK}}2\impliesm\angle LPM=48^\circ

The angles in any triangle add to 180 degrees in measure, and \angle MLK\congruent\angle MLP and m\angle LMW=m\angle LMP, so that

m\angle MLK+m\angle LPM+m\angle LMP=180^\circ

\implies\boxed{m\angle LMW=67^\circ}

6 0
3 years ago
What is the answer to −9−(−13) its integers
Setler [38]

Answer: 4

Step-by-step explanation:

6 0
3 years ago
(cotx+cscx)/(sinx+tanx)
Butoxors [25]

Answer:   \bold{\dfrac{cot(x)}{sin(x)}}

<u>Step-by-step explanation:</u>

Convert everything to "sin" and "cos" and then cancel out the common factors.

\dfrac{cot(x)+csc(x)}{sin(x)+tan(x)}\\\\\\\bigg(\dfrac{cos(x)}{sin(x)}+\dfrac{1}{sin(x)}\bigg)\div\bigg(\dfrac{sin(x)}{1}+\dfrac{sin(x)}{cos(x)}\bigg)\\\\\\\bigg(\dfrac{cos(x)}{sin(x)}+\dfrac{1}{sin(x)}\bigg)\div\bigg[\dfrac{sin(x)}{1}\bigg(\dfrac{cos(x)}{cos(x)}\bigg)+\dfrac{sin(x)}{cos(x)}\bigg]\\\\\\\bigg(\dfrac{cos(x)}{sin(x)}+\dfrac{1}{sin(x)}\bigg)\div\bigg(\dfrac{sin(x)cos(x)}{cos(x)}+\dfrac{sin(x)}{cos(x)}\bigg)

\text{Simplify:}\\\\\bigg(\dfrac{cos(x)+1}{sin(x)}\bigg)\div\bigg(\dfrac{sin(x)cos(x)+sin(x)}{cos(x)}\bigg)\\\\\\\text{Multiply by the reciprocal (fraction rules)}:\\\\\bigg(\dfrac{cos(x)+1}{sin(x)}\bigg)\times\bigg(\dfrac{cos(x)}{sin(x)cos(x)+sin(x)}\bigg)\\\\\\\text{Factor out the common term on the right side denominator}:\\\\\bigg(\dfrac{cos(x)+1}{sin(x)}\bigg)\times\bigg(\dfrac{cos(x)}{sin(x)(cos(x)+1)}\bigg)

\text{Cross out the common factor of (cos(x) + 1) from the top and bottom}:\\\\\bigg(\dfrac{1}{sin(x)}\bigg)\times\bigg(\dfrac{cos(x)}{sin(x)}\bigg)\\\\\\\bigg(\dfrac{1}{sin(x)}\bigg)\times cot(x)}\qquad \rightarrow \qquad \dfrac{cot(x)}{sin(x)}

6 0
3 years ago
What is the formula for:
Masteriza [31]

Answer:

A) (Triangle) So, the area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle. Example: Find the area of the triangle. The area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.

B) We know that the general equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is the center and r is the radius.

C)The parallelogram area can be calculated, using its base and height.  

Area = ½ × d1 × d2 sin (y)

All Formulas to Calculate Area of a Parallelogram

Using Base and Height A = b × h

Using Trigonometry A = ab sin (x)

Using Diagonals A = ½ × d1 × d2 sin (y)

D)Area of a trapezoid is found with the formula, A=(a+b)/2 x h. Learn how to use the formula to find area of trapezoids.

Hope this helps!

All the love, Ya boi Fraser :)

7 0
3 years ago
What are the solutions to the equation 3x²+15x=18​
mixer [17]

Answer:

x = 1 or x = −6

Step-by-step explanation:

Step 1: Subtract 18 from both sides.

3x2+15x−18=18−18

3x2+15x−18=0

Step 2: Factor left side of equation.

3(x−1)(x+6)=0

Step 3: Set factors equal to 0.

x−1=0 or x+6=0

x=1 or x=−6

7 0
2 years ago
Read 2 more answers
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