3)
Solve the quadratic equation by taking square roots.
3x^2 – 8 = 12

Step-by-step explanation:

I assume the boat is going straight out on the same horizontal line.

we have 2 right-angled triangles.

at point A

there is the ground distance from A to the lighthouse. which is 1390 ft.

then there is the height of the lighthouse.

and the line of sight from A to the lighthouse light.

the angle at A is 7°.

the angle at the bottom of the lighthouse is 90°.

therefore, the angle at the lighthouse light = 180 - 90 - 7 = 83°.

at point B

the ground distance from B to the lighthouse.

the height of the lighthouse again.

and the line of sight of B to the lighthouse light.

the angle at B = 4°.

the angle at the lighthouse bottom is again 90°.

therefore, the Angie at the lighthouse light is 180 - 90 - 4 = 86°.

we need the law of sine to solve this and find the missing side lengths.

a/sin(A) = b/sin(B) = c/sin(C)

with the sides and the correlated angles being opposite.

the first we need to do is finding the height of the lighthouse via triangle A, so that we can use it then also in triangle B.

1390/sin(83) = height/sin(7)

lighthouse height = 1390×sin(7)/sin(83) = 170.6705397... ft

now, we can use that in triangle B to get the ground distance to the lighthouse :

height/sin(4) = ground distance/sin(86)

ground distance = height×sin(86)/sin(4) =

= 2,440.702427... ft

the distance from A to B is the difference between that ground distance and the original distance of 1390 ft :

2,440.702427... - 1390 = 1,050.702427... ft ≈

≈ 1,051 ft

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Given the following question:

[tex]2\frac{7}{8} \div3\frac{5}{6}[/tex]

To find the answer we need to convert the mixed numbers into improper fractions, then we apply KCF (Keep, Change, Flip) to the equation and then we solve.

[tex]2\frac{7}{8} \div3\frac{5}{6}[/tex]
[tex]2\frac{7}{8} =8\times2=16+7=23=\frac{23}{8}[/tex]
[tex]3\frac{5}{6} =6\times3=18+5=23=\frac{23}{6}[/tex]
[tex]\frac{28}{8} \div\frac{23}{6}[/tex]

Apply KCF:
[tex]\frac{28}{8} \div\frac{23}{6}[/tex]
[tex]\frac{28}{8} \times\frac{6}{23}[/tex]
[tex]28\times6=168[/tex]
[tex]8\times23=184[/tex]
[tex]=\frac{168}{184}[/tex]

Simplify by reducing:
[tex]\frac{168}{184}[/tex]
[tex]=\frac{168}{184}\div46=\frac{3}{4}[/tex]
[tex]=\frac{3}{4}[/tex]

Your answer is "3/4."

Hope this helps.

Answer:

the image shows reduction

Step-by-step explanation:

1.7

Answer:

0.5

Step-by-step explanation:

First divide 1.7 to 3.4 and then you get your answer

Hope this helps :)

Answer:

BRUHHHH IM WEAK

Step-by-step explanation:

no one is giving ash kash on here

Answer:

You get points by ansewing others questions on the app. The points are given to you through the app, the points are not real money. A user asking a question can choose how much points to give any one who answers their question.

Step-by-step explanation:

HOPE THIS HELPS!!!!!!!

Answer:

$4,637.50

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

1) E and S

2) Pentagon

3) No, No, Yes

4) Infinite

5)

a. 4, 90°

b. 4 plates

c. Yes, see attachment.

My apologies if the picture isn't very neat/clear.

Step-by-step explanation:

[tex]1) \: e \: and \: s \\ 2) \: pentagon \\ 3) \: no \: no \: yes \\ 4)infinite \\ 5)4 \: \: \: \: \: . \: 90 \\ b) \: uplates \\ c) \: yes \: see \: attachment[/tex]

# Jerry Don is here#

Answer:

C

Step-by-step explanation:

use Pythagorean theorem to get the missing side of the triangle as 12.

Find the area of the triangle and add ot to the area of the rectangle...so (9)(12)/2=54 for area of triangle + area of rectangle is (15)(12)=180. so 54 + 180 = 234

Answer: 1000

Step-by-step explanation: since the number next to it is a seven and seven is closer to ten and ten is the first two digits of the answer. The answer is 1000.

Round the integer number 973 nearest hundred will be 1000.

The action of forming anything into a circle. Mathematics. the act of substituting a number with one that is roughly equivalent in value but has fewer digits: To the closest dollar, rounding $27.68 results in $28. a comparable procedure that identifies one of several rules.

The integer is given below.

⇒ 973

Round the number 973 nearest hundred.

If the tens place is more than 5, then the hundred places will be increased by one.

In the tens place is 7, then the number 9 is increased by one that is 10.

Round the integer number 973 nearest hundred will be 1000.

More about the rounding of a number link is given below.

https://brainly.com/question/19031319

#SPJ2

Answer:

√80=16√5

2√45

2×9√5

18√5

16√5-18√5

-2√5

hope that helps -2√5

Answer:

The weighted average for the following score is   [tex]W = 85.72[/tex]

Step-by-step explanation:

From the question we are told that

  The worth of the lab score is  23% of  total grade  i.e 0.23

   The worth of each major test is 22.5% of the total grade  0.225

   The  worth of the final  exam is  32% of the total  grade 0.32

   The  score on lab is 85  

    The score on first major test is 95

    The score on the second major test is 91

     The score on the final exam is  76

Generally the weighted average is mathematically represented as

     [tex]W  =  [0.23 *  85 ]+ [0.225 * 95] +  [0.225 * 91 ]+ [0.32 *76  ][/tex]

=>  [tex]W = 85.72[/tex]

Answer:

145/36

Step-by-step explanation:

(29/6) / (6/5) = 145/36

Answer:

29/6÷ 4(3/10)

145/36

Step-by-step explanation:

Answer:

3 miles

Step-by-step explanation

Distance = rate x time

d=rt

rate = 9

time= 20 minutes but we need this in terms of hours since the rate is 9 miles per hour

t = 20/60 = 1/3

so d = 9(1/3) = 3 miles

1? HSHSHSHSHSHSHHSHSHSHS

Answer:

Step-by-step explanation:

Angles on the same side of the transversal are supplementary.

(4x-8)+(3x-1)=180

=7x-8-1=180

=7x-9=180

7x=180+9

7x=189

x=189/7

x=27

Hope it helped..

Answer:each input has one output

Step-by-step explanation: functions are only accurate when each input has only one output, but outputs can have more than one input.

Answer:

the value of x is 18

Step-by-step explanation:

4x+17+91=180(Liner pair)

4x=180-108

4x=72

x=72/4

so,x=18

Answer:

the answer is b

Step-by-step explanation

Answer:

42.4 mph

Step-by-step explanation:

5÷212= 42.4mph (average speed)

Answer:

5c+4p = 18.50

2c+4p = 11.20

Cost of cup = $2.4

cost of pretzels = $1.625

Step-by-step explanation:

Note:

2 cups of hot cocoa and 4 pretzels for $11.30

Computation:

5c+4p = 18.50........eq1

2c+4p = 11.30........eq2

Where c = cost of cup

p = cost of pretzels

From eq1 - eq2

3c = 7.20

c = 2.4

Cost of cup = $2.4

5c+4p = 18.50

5(2.4) + 4p = 18.50

p = 1.625

cost of pretzels = $1.625

Answer:

90 - ( -4 ) and 90 + 4

Step-by-step explanation:

I got it correct on the test :)

Answer: 10.193

Step-by-step explanation:

Answer:

5.25 miles

Step-by-step explanation:

Answer:

the answer you're looking for is 31

Answer:

1. Square

A square has 4 side of equal lengths, and all right angles.

2. Triangle

A triangle has 3 sides and 3 angles. It could either be an isosceles, equilateral or obtuse triangle.

3. Rectangle

A rectangle has 4 sides. 2 are parallel and the other 2 are parallel. All angles are 90 degrees.

4. Trapezoid

This shape has 4 sides. Only 1 pair of sides is parallel. The other 2 sides are not parallel

5. Parallelogram

It has 4 sides, and both pair of opposite sides are parallel.

Answer:

A

Step-by-step explanation:

Rotates and then translates 7 to the left.

Answer:

y = 3/5 + 4

Step-by-step explanation:

Given Coordiantes:

(0,4) - Y-intercept

(5,7) - Coordinates

To make an equation, first find the slope.

[tex]m=\frac{rise}{run} =\frac{y}{x}[/tex]

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

[tex]m=\frac{7-4}{5-0}[/tex]

[tex]m=\frac{3}{5}[/tex]

In decimals:

[tex]m = 0.6[/tex]

Now convert to point slope.

[tex]y-y_{1} =m(x-x_{1} )[/tex]

[tex]y-4=\frac{3}{5} (x-0)[/tex]

In decimals:

[tex]y-4=0.6(x-0)[/tex]

Now convert to slope-intercept form.

Find the Equation of the Line:

[tex]y=mx+b[/tex]

by solving for y using the Point Slope Equation.

y = 3/5 + 4

Answer: 20

Step-by-step explanation:

Answer:

x=20

Step-by-step explanation:

[tex]x^2=8(8+42)\\\\x^2=8*50\\\\x=20[/tex]

~

Answer:

a) 2/44 = 0.045

b) 9/22 = 0.409

Step-by-step explanation:

a) The probability the first can is diet soda is 3/12.

The probability the second can is diet soda is 2/11.

The probability of both is (3/12) (2/11) = 2/44 ≈ 0.045.

Alternatively, you can use combinations:

₃C₂ × ₉C₀ / (₁₂C₂) = 2/44

b) If the first can is diet soda, and the second can isn't, the probability is (3/12) (9/11) = 9/44.

If the first can isn't diet soda, and the second can is, the probability is (9/12) (3/11) = 9/44.

The total probability is 9/44 + 9/44 = 9/22 ≈ 0.409.

Alternatively, using combinations:

₃C₁ × ₉C₁ / (₁₂C₂) = 9/22

Answer:

C:the length of time used in working

B:9:10 p.m and 9:56 p.m

B:Subtraction

C:9:56 - 9:10

C:46 minutes

Answer:

3/25

Step-by-step explanation: