Which numbers belong to the solution set of inequality 9x>117

Answers

Answer 1
Answer:

Hello Nancy

9x>117

Divide both sides by 9

9x/9>117/9

x>13


I hope that's help:0


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Use the digits 1,3,4,and 7 to create two whole numbers whose product is estimated to be about 600

Answers

Answer: 34 and 17 are two numbers created from the given digits whose product is estimated to be about 600.

Step-by-step explanation:

Let 34 and 17 are two whole numbers created from the given digits.

Case 1) If we multiply 34 and 17 then 34×17=578 if we rounding up to the nearest hundreds we will get 600.

Case 2) If we rounding up the whole numbers before multiplication as

estimate of 34 to the nearest ten is 30 and 17 to the nearest ten is 20

Then the product becomes 30×20=600.

So by both the ways 34 and 17 can be used for estimated product to be 600.

34 x 17  (round the 2 numbers)
30 x 20
   600

Also, 34 x 17 = 578, which rounds to 600


The answer is 34 and 17

Giving brainliest :)))find the 69th term in the arithmetic sequence
2, 5, 8, 11 ...

Answers

206 is the answer since you +3 every time

This is an arithmetic sequence since there is a common difference between each term. In this case, adding
3
3
to the previous term in the sequence gives the next term. In other words,
a
n
=
a
1
+
d
(
n

1
)
a
n
=
a
1
+
d
(
n
-
1
)
.
Arithmetic Sequence:
d
=
3
d
=
3
This is the formula of an arithmetic sequence.
a
n
=
a
1
+
d
(
n

1
)
a
n
=
a
1
+
d
(
n
-
1
)
Substitute in the values of
a
1
=
2
a
1
=
2
and
d
=
3
d
=
3
.
a
n
=
2
+
(
3
)
(
n

1
)
a
n
=
2
+
(
3
)
(
n
-
1
)
Simplify each term.
Tap for more steps...
a
n
=
2
+
3
n

3
a
n
=
2
+
3
n
-
3
Subtract
3
3
from
2
2
.
a
n
=
3
n

1




= 18

Round 342 to the nearest ten

Answers

342 rounded to the nearest ten is,340.

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

(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.

*** Solve 2x + y = 7 for y.​

Answers

Answer:

y = 7 - 2x

Step-by-step explanation:

Start with the equation: 2x + y = 7.

To isolate y, you can subtract 2x from both sides of the equation:

2x + y - 2x = 7 - 2x.

The 2x on the left side cancels out, leaving you with:

y = 7 - 2x.

Find the product and simplify your answer 6n^5(7n^4-5n+5) 40 points

Answers

We have the following expression:
 6n ^ 5 (7n ^ 4-5n + 5)
 We can rewrite the expression using power properties.
 We have then:
 42n ^ (4 + 5) - 30n ^ (1 + 5) + 30n ^ 5
 Rewriting:
 42n ^ 9 - 30n ^ 6 + 30n ^ 5
 Answer:
 
the product is:
 
42n ^ 9 - 30n ^ 6 + 30n ^ 5

Answer:

ok

Step-by-step explanation: