Two radar stations 2.5 miles apart are tracking an airplane. the straight-line distance between Station A and the plane is 7 miles. the straight-line distance between station B and the plan is 9 miles. What is the angle of elevation from Station B to the plane?

Answer: [tex]307.11\ ft[/tex]

Step-by-step explanation:

Given

The height of hill is 120 ft and the angle of elevation is [tex]23^{\circ}[/tex]

Suppose the length of the road is [tex]x[/tex]

From the figure, we can write

[tex]\Rightarrow \sin 23^{\circ}=\dfrac{120}{x}\\\\\Rightarrow x=\dfrac{120}{\sin 23^{\circ}}\\\\\Rightarrow x=307.11\ ft[/tex]

Thus, the length of the road is [tex]307.11\ ft[/tex]

Answer:

4

Step-by-step explanation:

3b=12

Divide each side by 3

3b/3 =12/3

b =4

Answer:

Step-by-step explanation:

Given,

3b = 12

=> b = 12 ÷ 3

=> b = 4 (Ans)

Answer:

Y ≤ X + 6

Step-by-step explanation:

Not sure if this is correct

Answer:

y<1/5x+6

Step-by-step explanation:

< bcs below line

dotted line means not equal(≤)

Answer:

$55

Step-by-step explanation:

Step 1

Subtracted the discounted price by 100 to find the percentages original price giving you *60%*

Step 2

Multiply the price payed(final price which is $33) by 100 giving you *3300*

Step 3

Go back to step 1 and divide your answer in step 2(3300) by the percentage in step 1(60%) (3300/0.60=55)

Answer:

-7 + 2 ___ 3 + (-9)

lets break this up

-7+2=-5

3+(-9) or 3-9 = -6

so the correct one is...

B: <

Answer:

Te diagonal of a kite will form a parallelogram.

explanation:

Kite properties include (1) two pairs of consecutive, congruent sides, (2) congruent non-vertex angles and (3) perpendicular diagonals. Other important polygon properties to be familiar with include trapezoid properties, parallelogram properties, rhombus properties, and rectangle and square properties.

hope it helps

Mark me as brainlist

Answer:

this makes no sence

Step-by-step explanation:

you did no include any of the details needed

Answer: 17

Step-by-step explanation:

3(x+1)2=108

Distribute the 3 first: (3x+3)2=108

Then divide by 2 on both sides: 3x+3= 54

Subtract 3 from both sides: 3x=51

Divide by 3 on both sides: x=17

Answer:

12/15

Step-by-step explanation:

if in one day mr sharma did 1/5 part of piece of work and he worked three days he did 3/15, if vishnu finished the remaining work then he did 12/15 parts, they did 15/15

Answer:

x = 12 cm and y = 24 cm

Step-by-step explanation:

Three sides of the first triangle are 10 cm, 12 cm and 12 cm.

Three sides of second triangle are 20 cm, 12+x cm and y cm.

As these two triangles are similar, it means,

[tex]\dfrac{10}{20}=\dfrac{12}{12+x}=\dfrac{12}{y}\\\\\dfrac{1}{2}=\dfrac{12}{12+x}=\dfrac{12}{y}\\\\\dfrac{1}{2}=\dfrac{12}{y}\ \text{and}\ \dfrac{1}{2}=\dfrac{12}{12+x}\\\\y=24\ cm\ \text{and}\ 24=12+x,x=12 cm[/tex]

So, the value of x is 12 cm and that of y is 24 cm.

Answer:

f(0) = 0 + 9 + 2

f(0) = 11

f(7) = 7 + 9 + 2

f(7) = 18

f(-5) = -5 + 9 + 2

f(-5) = 4 + 2

f(-5) = 6

thank you

Answer:

Step-by-step explanation:

f(x)=x+9+2

substitute o in place of x

f(0)=0+9+2

=11

f(x)=x+9+2

substitute 7 in place of x

f(x)=7+9+2

=18

f(x)=x+9+2

substitute -5 in place of x

(-5)=-5+9+2

=-5+11

=6

Hope this helps u!!

Answer:

2&3

Step-by-step explanation:

Answer:

Equation on the left table: y = 3/5x

Equation on the right table: y = 3/5x - 2

Answer:

id say a

Step-by-step explanation:

The amount of interest his account should earn after 15 years is:

$7, 915.64.

Here, we have,

Compound interest is when you earn interest on both the money you've saved and the interest you earn.

Formula:

A = P(1 + {r}/{n})^{n.t}

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Here, given that, P =$4,500 , r= 7%, t=15yr , n=365days

Let, A= x

Now, x =$4,500(1+7/100×365)^(365×15)

     x=$12415.64

i.e.  final amount = $12415.64

so,  the amount of interest his account should earn after 15 years is:

$12415.64 - 4500 = $7, 915.64

Hence, the amount of interest his account should earn after 15 years is: $7, 915.64

To learn more on Compound interest click:

brainly.com/question/29335425

#SPJ2

Answer:

17

Step-by-step explanation:

t^2 + m^2 = 64

(t+m)^2 = 98

(t+m)^2 = t^2 +2tm+ m^2

==>

t^2 +2tm+ m^2 = 98

t^2+m^2+2tm=98

64+ 2tm=98

2tm = 98 -64

2tm=34

tm= 34/2

tm = 17

Answer:

D

Step-by-step explanation:     Time Stamp (6  9  10  32)

Easiest way is to graph both equation and look for the intersections  see attached sreen shot

or  solve by substitution

y = 2x

y = x²- 8

2x = x²- 8                  solve for x

0  = x² - 2x - 8          factor

0 = (x - 4)(x + 2)

0 = 0   when x = 4 and -2      

calculate the y values

y = 2x      x = 4

y = 8                              (4, 8)

y = 2x      x = -2

y = -4                            (-2, -4)

Answer:

[tex]\frac{14}{9}, \sqrt{7}, \sqrt{13}, \sqrt{40}, 4^3[/tex]

Step-by-step explanation:

Given

[tex]4^3, \sqrt{40}, \sqrt{13}, \frac{14}{9}, \sqrt 7[/tex]

Required

Order from least to greatest

First, we solve for each expression

[tex]4^3 = 64[/tex]

[tex]\sqrt{40} = 6.32[/tex]

[tex]\sqrt{13} = 3.61[/tex]

[tex]\frac{14}{9} = 1.56[/tex]

[tex]\sqrt{7} = 2.66[/tex]

From least to greatest, we have:

[tex]1.56, 2.66. 3.61, 6.32, 64[/tex]

Hence, the list is:

[tex]\frac{14}{9}, \sqrt{7}, \sqrt{13}, \sqrt{40}, 4^3[/tex]

Answer:

15 bicycles

Step-by-step explanation:

ratio of bicycles to tricycles is 5:1 because it is 5 times greater and tricycle has 3 wheels and bicycles have 2 so i take 5 from the ratio and make a equation 5(2)+3(1)=13

i then divide 39 by 3 and get 3 i then take 3 and multiply it with it for the whole equation and find that 15 is the number of bicycles.

Answer:

Slope-Intercept form:   y = m x + b

y = value of y corresponding to value of x

2 y = 10 x - 6

y = 5 x - 3         equation of line where m is the slope and -3 value of y when x                      

                         equals  zero

Answer: 1600g

Step-by-step explanation: (4 * 2kg) / 5 = 8/5kg

8/5kg = 1.6kg

1.6kg * (1000g / 1kg) = 1600g

Answer:

1 3/5kg.

Step-by-step explanation:

So, to figure this out, lets go over what we know.

There is 2kg.

We need to find 4/5 of this.

A way you can think of this is 2kg*4/5. Or:

2*4/5

Remember, all whole numbers have a denominator of 1. So this is:

2/1*4/5

Or

[tex]\frac{2}{1} *\frac{4}{5}[/tex]

When doing multipaction, the numerator multipies hte numeraot, and the denominator multiplies the denominator.

So in the numerator, it will be 2 times 4:

2*4=8

And in the denominator, it will be 1 times 5:

1*5=5

So the answer is:

8/5

Hope this helps!

Answer:

76yhgdttyhgfd

Step-by-step explanation:

nhjgklh/f

Answer:

Step-by-step explanation:

y = mx + c (slope/intercept form)

c = 0 (this is the y intercept)

The format will be of y = mx

The gradient acts as the slope (m)

'y' acts as the line represented on the graph, or the 'times visited'

'x' is the independent variable, or the 'days for sale'

m = 10/5 = 2 (rise/run on the line shown)

m = 2

y = 2x

40 days > . y = (2 x 40),  y = 80 (number of times the house has been visited)

70 times visited > . 70 = 2x

70 / 2 = 35

x = 35 (days for sale)

Step-by-step explanation:

Translation: (x,y)↦( 9, -12)

Scale factor: 2

Translation:

(x,y)↦( 9, -12 )

Scale factor:

2 is the required answer.

Answer:

61

Step-by-step explanation:

lenths is a right anglre

Answer:

11 times

Step-by-step explanation:

Given

[tex]Jim = 2 * Jack[/tex]

[tex]John = 4 + Joe[/tex]

[tex]John = Jim - 3[/tex]

[tex]Joe = 15[/tex]

Required

Find [tex]Jack[/tex]

Substitute [tex]Joe = 15[/tex] in [tex]John = 4 + Joe[/tex]

[tex]John = 4 + 15[/tex]

[tex]John = 19[/tex]

Substitute [tex]John = 19[/tex] in [tex]John = Jim - 3[/tex]

[tex]19 = Jim - 3[/tex]

Collect like terms

[tex]Jim = 19 +3[/tex]

[tex]Jim = 22[/tex]

Substitute [tex]Jim = 22[/tex] in [tex]Jim = 2 * Jack[/tex]

[tex]22 = 2 * Jack[/tex]

Divide both sides by 2

[tex]Jack = \frac{22}{2}[/tex]

[tex]Jack = 11[/tex]