Use the triangle above to find the trigonometric ratios

Answer:

Jajkmama

Step-by-step explanation:

Answer:

Intersections: (-2, -5) and (5, 2)

Hope this helps!

[tex]x^{2} +y^{2} =29[/tex] circle and [tex]y=x-3[/tex]

[tex]y^{2} =29-x^{2}[/tex]                   [tex]\left ( y \right )^{2}=\left ( x-3 \right )^{2}[/tex]

                                       [tex]y^{2}=x^{2}-6x+9[/tex]

[tex]\Rightarrow x^{2} -6x+9=29-x^{2}[/tex]  

[tex]\Rightarrow 2x^{2} -6x-20=0[/tex]         [tex]\Rightarrow 2x^{2} -3x-10=0[/tex]

[tex]x^{2} -5x+2x-10=0[/tex]       [tex]\Rightarrow x\left ( x-5 \right ) +2\left ( x-5 \right )=0[/tex]

[tex]x=5, \ x=-2[/tex]

[tex]\Rightarrow y=29-25=4\pm 2[/tex]       [tex]\Rightarrow y=29-4=25\pm 5[/tex]

The circle intersects the line at [tex]\left ( 5,2 \right )[/tex] and [tex]\left ( -2,-5 \right )[/tex].

Answer:

2.6

Step-by-step explanation:

Could you mark this the brainlist

Answer:

2.5 or 2 1/2 ft is the width

Step-by-step explanation:

Area of rectangle = length × width

(13 3/4 can also be written as 13.75)

(5 1/2 can also be written as 5.5)

Area = l × w

13.75 = 5.5 × w

13.75 ÷ 5.5 = w

2.5 = w

Answer:

216 -18-18= 180 /2= 90

Step-by-step explanation:

thus is how I figured it out cause 2 aides of a rectangle are the same so it would leave the other 2 sides as equal too

Answer:

1.0555135e+58

Step-by-step explanation:

♡ The Question/Task(s)! ♡

-Which function can be used to determine the number of rocks, r, a child will collect after w weeks?

*୨୧ ┈┈┈┈┈┈┈┈┈ ୨୧*

♡ The Answer(s)! ♡

-The answer is, r = 5w + 15!

I apologize in advance if the answer is incorrect! ♡

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♡ The Explanation(s)/Step-By-Step! ♡

-No Explanation(s)/Step-By-Step provided!

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♡ Tip(s)! ♡

-No Tip(s) Provided!

Answer:the answer is 21 with np repeats

Step-by-step explanation:

Answer:

D

Hope it helps!

Answer:

959/1000

Thank me later and for asking! :))

Answer:

Step-by-step explanation:

0.959 as a fraction and percent expansion provides the details of what is the equivalent fraction and percent for decimal 0.959, and the answer with steps to understand how it is being calculated.

0.959 as a Fraction

0.959 = (?)

= (0.959/1) x (1000/1000)

= 959/1000

0.959 = 959/1000

0.959 as a fraction equals to 959/1000  

Hope this helps :)

Multiply number of cans by price per can:

4 x 11.50 = 46

They need $46

Answer:

$46

Step-by-step explanation:

Cuz im Smart

Answer:

1,036.28

Step-by-step explanation:

Given -

To find -

Solution -

Area of square = side × side = (60 × 60)m² =

Area of square =3600m²

Hence,

Area of rectangular field = Area of square field = 3600m²

Area of rectangular field = l × b = 3600m²

=> l × 32m = 3600m²

=> l = [tex]\sf{\frac{3600}{32}\:m}[/tex]

=> l = 112.5m

so, the length = 112.5m

Answer:

∠A = 48°, ∠B = 48°, and ∠C = 84°

Step-by-step explanation:

AB = CB                Given

m ∠A = m ∠C      If opposite sides are =, then those opposite angles are =

6(x - 3) = 4(x + 1)

6x - 18 = 4x + 4

2x - 18 =  4

2x = 22

x = 11

m ∠A = 6(11 - 3) = 6(8) = 48°

m ∠C = 4(11+ 1) = 4(12) = 48°  

The sum of the angles in a triangle = 180°

48° + 48° m ∠B = 180°

 96°+ m ∠B = 180°

      84° =  m ∠B

The new equation will be [tex]y=-1.5x+75[/tex]

Since the height at 0 seconds will be 75, it means that 15 has been added to the height at each time instant.

As a result, the gradient will remain [tex]-1.5[/tex], but the y-intercept will become 75. Therefore the equation will only change at the intercept.

The new equation will be [tex]y=-1.5x+75[/tex]

Learn more about slopes and intercepts: https://brainly.com/question/1201010

Answer:

D. The graph of y = |x| – 4 is the same as y = |x|.

Step-by-step explanation:

The graph y=|x|-4 is obtained from the graph y=|x| dy moving down 4 units the graph y=|x|  along the y-axis (see, if x=0, then for y=|x|, y=0 and for y=|x|-4, y=-4).

These two graphs have the same form.

...................................................................................................................................................

The graph of y=|x|-4 is the same as y=|x|.

(0, -5)

Step-by-step explanation:

Since we are given the slope and a point on the line, we can use these to write the point-slope form of the equation of the line, which looks this this:

[tex]y - y_1 = m(x - x_1)[/tex]

where [tex](x_1, y_1)[/tex] is the point on the line and m is the slope. So the equation has the form

[tex]y - 4 = 3(x - 3)[/tex]

To find the y-intercept, set x = 0 to get

[tex]y - 4 = 3(0 - 3) \Rightarrow y - 4 = -9[/tex]

Solving for y, we get

[tex]y = -5[/tex]

Therefore, the coordinates of the y-intercept is (0, -5).

Answer: B

Step-by-step explanation: Hope this helps :)

Answer:

The answer is -40

Step-by-step explanation:

Answer:  19x - 216/6

Explanation: Hope this helps!

Answer:40

Step-by-step explanation:

[(√36-4)³]*5

[(6-4)³]*5

(2)³ * 5

= 2*2*2 = 8

8*5 = 40

Answer:   When an inequality shows a multiple of -4 = -8 or -16 then we know it is a parallel line and therefore could be a straight line continuation  - we see -3(1) -(5) = -8  and -3(5) -(1) = -16  therefore (1  -5) and (5  -1) are both ordered pairs

-3 (2) + 2 = -4   shows 2 and  2 are an ordered pair of system    -3 (0) -4 = -4   shows 0 and -4 is an ordered pair of the system

Step-by-step explanation:

-3x + y = - 4   when we +3x  both sides we get       y = 3x - 4    so when y intercept starts in -4 we an assume if x is positive and as x  is top heavy and not equal to 1 we have a fraction  x = (y + 4) / 3   and the only thing we hanged to find this fraction value for x was to eliminate 3 and separate x through dividing by x   to see other coordinates  see attachment for ordered pairs by seeing each coordinate on the graph

The equation is,  [tex]\rm y = 30(1+0.50)^x[/tex]  101.25 bacteria cells after 3 hours, and 3892 bacteria cells after 12 hours  will be present,

It is given that the sample of bacteria cells in a petri dish increases by 50% every hour, a scientist starts with a sample of 30 bacteria cells.

It is required to find the equation that can be used to determine the number of cells after x hours.

It is defined as increasing an amount by a definite percentage over the span of a time, the original amount increases exponentially.

We know the Exponential Growth equation written as:

[tex]\rm y= a(1+r)^t[/tex]

Where y = total amount,

           a = starting amount

           r = the growth rate/exponential decay rate as a decimal

           t = number of growth periods.

We have a = 30

               r = 50% = 0.50

               t = x

Putting these values in the Exponential Growth equation, we get:

[tex]\rm y = 30(1+0.50)^x[/tex]  this is the equation for Exponential Growth.

If x = 3 hours, then:

[tex]\rm y = 30(1+0.50)^3 \Rightarrow 30(1.50)^3\Rightarrow 30(3.375)\Rightarrow 101.25\\[/tex]

If x = 12 hours, then:

[tex]\rm y = 30(1+0.50)^1^2 \Rightarrow 30(1.50)^1^2\Rightarrow 30(129.746)\Rightarrow 3892.39\approx 3892[/tex]

Thus, the equation that can be used to determine the number of cells after x hours is,  [tex]\rm y = 30(1+0.50)^x[/tex], that 101.25 bacteria cells will be present in the dish after 3 hours, and 3892 bacteria cells will be present after 12 hours.

Learn more about Exponential Decay here:

brainly.com/question/2193820

Answer:

1). y=30(1+.50)^x

2). 101.25

3). 3,892.39 Bacteria cells

Step-by-step explanation:

Answer:

2(x-5)=9

Step-by-step explanation:

x is used for "a number"

Answer:

10sec φ

Step-by-step explanation:

5 csc φ tan φ + 5 sec φ

= 5 (1/sin φ) * (sin φ/cos φ) + 5 sec φ

= 5 (1/cos φ) + 5 sec φ

= 5 sec φ + 5 sec φ

= 10 sec φ

Answer:

ten

Step-by-step explanation:

I hope this helps!!!!!!!!!

Answer:

20

Step-by-step explanation:

x=3

本题已由中国数学会官方解答（现有会员：3人）  

The solution is, the value of x = 3.

Logarithm, the exponent or power to which a base must be raised to yield a given number. The quotient rule says that, the logarithm of a quotient is equal to a difference & the product rule says that logarithm of product is equal to the sum of logarithm.

here, we have,

given that,

2 In e^(ln 5x) = 2 In 15

now, we have to solve it for x.

we know that,

e^(ln 5x) = 5x

using the rule of logarithm.

so, we have,

2 In (5x) = 2 In 15

now, for solving,

comparing both sides, we get,

15 = 5x

i.e. x = 15/5

or, x = 3

Hence, The solution is, the value of x = 3.

To learn more on Property of Logarithm click:

brainly.com/question/10418010

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Answer:

the ratio should be 4.754

Step-by-step explanation: ez kiddo i have the answer key