How do you spell 81 and 54?

Answers

Answer 1

Answer:

Answer:

81- eighty one

54- fifty four

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Can I get some help pls.

Answers

Is it C? I really think it is C.

Karla is riding vertically in a hot air balloon, directly over a point P on the ground. Karla spots a parked car on the ground at an angle of depression of 30o. The balloon rises 50 meters. Now the angle of depression to the car is 35 degrees. How far is the car from point P?

Answers

Answer:

407 m

Step-by-step explanation:

Refer the attached figure

Karla spots a parked car on the ground at an angle of depression of 30° i.e. ∠BDP = 30°

Now the balloon rises 50 meters.i.e. AB = 50 m

So, the angle of depression to the car is 35 degrees. i.e.∠ADP = 35°

Let DP be the distance of the car prom point P

Let BP be x

In ΔBDP

$Tan\theta = (Perpendicular)/(Base)$

$Tan 30^(\circ) = (BP)/(DP)$

$(1)/(√(3))= (x)/(DP)$

$DP= (x)/((1)/(√(3)))$ --1

In ΔADP

$Tan\theta = (Perpendicular)/(Base)$

$Tan 35^(\circ) = (AP)/(DP)$

$0.70020= (50+x)/(DP)$

$DP= (50+x)/(0.70020)$ --2

So, equating 1 and 2

$(50+x)/(0.70020) = (x)/((1)/(√(3)))$

$(50+x)/(x) = (0.70020)/((1)/(√(3)))$

$(50+x)/(x) =1.21278$

$50+x =1.21278x$

$50 =1.21278x-x$

$50 =0.21278x$

$(50)/(0.21278)=x$

$x=234.982$

Substitute the value of x in 1

$DP= (234.982)/((1)/(√(3)))$

$DP= 407.0007$

Hence the car is at a distance of approximately 407 m from point P

We form 2 similar rt. triangles:

Triangle #1.
X = Hor. side = dist. from P to the car.
Yi = Ver. side.
A = 30o.

Triangle #2.
X = Hor. side = Dist. from P to the car.
Y2 = Y1+50 = Ver. side.
A = 35o.

Use aw of Sines.
sin30/Y1 = sin35/(Y1+50).
Cross multiply:
(Y1+50)sin30 = Y1*sin35
Y1/2+25 = 0.574Y1
Multiply both sides by 2:
Y1+50 = 1.148Y1
1.148Y1-Y1 = 50
0.148Y1 = 50
Y1 = 337.8 m.

tan30 = Y1/X = 337.8/X
X = 337.8/tan30 = 585 m. 714 feet away hope that helps if not tell me.

What is the simplified form of square root 48n^9?

Answers

Answer:

$4n^4√(3n)$

Step-by-step explanation:

Use the exponent rules:

$\sqrt[n]{x^a} = x^{(a)/(n)}$

$\sqrt[n]{a^n} =a$

To find the simplified form of :

$√(48n^9)$

We can write 48 and $n^9$ as:

$48 = 4 \cdot 4 \cdot 3 = 4^2 \cdot 3$

$n^9 = (n^4)^2 \cdot n$

then;

$√(4^2 \cdot 3 \cdot (n^4)^2 \cdot n)$

Apply the exponent rule:

⇒ $4 \cdot n^4 \cdot √(3n)$

⇒ $4n^4√(3n)$

Therefore, the simplified form of square root 48n^9 is, $4n^4√(3n)$

$√(48n^9)=√(16n^8\cdot3n)=√(16n^8)\cdot√(3n)=4n^4√(3n)$

CAN ANYONE HELP ME PLEASE??

Answers

y=mx+b
m=slope

paralell lines have same slopt
perpendicular lines have slope that multipliy to -1

1. slope has to be 3/5 since paralell
y=3/5x+b
input point given
(5,-2)
x=5
y=-2
-2=3/5(5)+b
b=-7
y=3/5x-7

do the rest, I will give slope but you find b

2. paralell so slope is 4/5
y=4/5x+b
input the point to find b

3. paralell so slope is 2
y=2x+b

4. paralell so slope is -1
y=-x+b

5. paralle same slot
y=4/3x+b

6. perp, multiply-1
1/7 times x=-1
x=-7
y=-7x+b

7.x=0
that means the x axis
the perpendicular line is horizontal passes through the y coordinate
(2,4)
y=4 is the line equation

8. perpendicular slope mltiples to -1
4/3 times what=-1
-3/4
y=-3/4x+b

9.
perpendicular
y=-x+b

10. perpendicular multiples to -1
-1/2 times what=-1
what=2
y=2x+b

Is 4.50 an irrational or rational number?

Answers

it is irrational because rational numbers are whole and irrational numbers are decimals,fractions,negatives,and mixed numbers also irrational numbers go on and on forever rational stops for example 3 is rational and 9.6 is irrational 4.50 is irrational hope this helps you i hope i am the brainliest answer because i need it for the next rank

Natalie buys organic almonds priced at $77 from the grocery store. How much did she pay the cashier if she received $23 in change?

Answers

She paid $100 because she bought the almonds for $77 then she received $23 back (100-77=23) (77+23=100)

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I NEED HELP ON THIS MAKE SURE IT RIGHT PLEASE ASAP