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Irina18 [472]
4 years ago
5

Sin 30*=square root 3/2 true or false

Mathematics
1 answer:
Sphinxa [80]4 years ago
5 0

Answer:

Step-by-step explanation:

Sin(30o) = 0.5 or 1/2

Sin(60o) = sqrt(3)/2

So the statement is false

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Find the missing base (b1) of the trapezoid. Dimensions are in CM.
Alenkinab [10]

Answer:

b1 = 9 cm

Step-by-step explanation:

The formula for area of a trapezoid is

A = 1/2 (b1+b2) *h

We know Area = 135 CM ^2, Height = 10 CM, b2 = 18 cm

Substituting these in

135 = 1/2 (b1+18) *10

Multiply 1/2*10

135 = 5 (b1+18)

Divide both side by 5

135/5 = 5/5 (b1+18)

27 = b1+18

Subtract 18 from each side

27-18 = b1+18-18

9 = b1

5 0
3 years ago
You deposited $800 into an account paying 4.5% interest compounded continuously. A. How much would be in the account in 5 years?
elena55 [62]

Answer:

Step-by-step explanation:

The formula for continuously compounded interest is

A = P x e (r x t)

Where

A represents the future value of the investment after t years.

P represents the present value or initial amount invested

r represents the interest rate

t represents the time in years for which the investment was made.

A) From the information given,

P = $800

r = 4.5% = 4.5/100 = 0.045

t = 5 years

Therefore,

A = 800 x e^(0.045 x 5)

A = 800 x e^(0.225)

A = $1002

B) For it to double,

A = 2 × 800 = 1600

Therefore,

1600 = 800 x e^(0.045 x t)

1600/800 = e^(0.045t)

2 = e^(0.045t)

Taking ln of both sides, it becomes

Ln2 = 0.045t

0.693 = 0.045t

t = 0.693/0.045

t = 15.4 years

8 0
3 years ago
Identify the graph that correctly represents the inequality |x + 1| + 2 >  5.
NeTakaya
|x+1|\ \textgreater \ 3

The greater than 3 means that the graph will have a shaded region for when the absolute value of (x+1) is greater than 3.

The absolute value means that we are interested in the magnitude of x+1. That means that the the graph will be shaded where x+1 > 3, and where -x-1 > 3

If we solve both of these for x, we get:

x > 2 and x < -4

So the graph will look like the attached picture. Notice that the vertical lines are dotted rather than solid. This means that we are dealing with a greater than sign, not a greater than or equal to.

8 0
3 years ago
Read 2 more answers
Two lines intersecting at a right angle
topjm [15]

Answer:

Form aray

Step-by-step explanation:

Neither form a line and it also have both parts and perpendicular

6 0
4 years ago
What is the value of x in the figure?<br><br><br>Enter your answer in the box.<br><br><br>x =
fomenos

Answer:

68 degrees

Step-by-step explanation:

The straight horizontal line is a straight angle with 180 degrees it is split in a way that you know under the right angle, is another right ange making up part of the 180° line, add 22 and then subtract what you get from 180 to get 68.

A simpler way, add the angles in the X and 22 degree things and there is a right angle, 90 degrees, subtract 22 from 90 and get 68

Two different ways, either will work

Hope this helps!

7 0
2 years ago
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