sec 330 find the exact value in simplest form with a rational denominator
Answer:
[tex]\implies \sec 3 30^o = \dfrac{2}{\sqrt3}=\dfrac{2\sqrt{3}}{3}[/tex]
Step-by-step explanation:
Given :-
[tex]\sec 330^o [/tex]And we need to find out its value . Firstly we know that 330° lies in 4th quadrant . And In fourth quadrant , cosine and secant are positive . Therefore , the result will be positive. Now we know that ,
[tex]\implies \sec (360^o-\theta)= \sec\theta [/tex]
Using this ,
[tex]\implies \sec (330^o) \\\\\rm\implies sec(360^o-30^o) \\\\\rm\implies \sec 30^o [/tex]
And the value of sec 30° is ,
[tex]\implies \sec 30^o = \dfrac{2}{\sqrt3}[/tex]
And by question we need to write it with a rational denominator .So on rationalising the denominator , we have ,
[tex]\implies \sec 30^o = \dfrac{2}{\sqrt3}=\boxed{\red{\dfrac{2\sqrt3}{3}}}[/tex]
Hence the required answer is 2√3/3.
In Ronna’s class, the ratio of boys to girls is 2:3. In Suzie’s class, there are half as many girls as in Ronna’s class. If there are 12 boys in Ronna’s class, how many girls are in Suzie’s class?
Answer:
4
Step-by-step explanation:
2:3
4:6
6:9
8:12
8 girls in Ronna’s class
Half of 8 is 4
At a game show, there are 7 people (including you and your friend) in the front
row.
The host randomly chooses 3 people from the front row to be contestants.
The order in which they are chosen does not matter.
There are 7C3 = 35 total ways to choose the 3 contestants.
What is the probability that you and your friend are both chosen?
ОА 2/3
O B.
3/35
OC.
2/35
O D.
5/35
Answer:
There are a total of 5/35 ways that you and your friend are both chosen
Step-by-step explanation:
ap3x
please help
writing in terms of i
Answer:
[tex]4i \sqrt{6} [/tex]
Find the 7th term of the geometric sequence whose common ratio is
and whose first term is 4.
Answer:
your answer is 36 counting by 4s
Step-by-step explanation:
4
16
20
24
28
32
36
Answer:
28
Step-by-step explanation:
4, 8, 12, 16, 20, 24, 28
how much will a person pay for 1.5 pounds of bananas at a price of .95 per pound
Answer:
1.425
Step-by-step explanation:
when 1pound is 0.95
then 1.5should be multiplied by 0.95
Help me please!! please
Answer: With the help of the internet, I've come to the conclusion that √5/3 is irrational. I might be wrong though. Hope this helps.
Step-by-step explanation:
If the probability of an outcome is 2/9, what are the odds against that outcome?
Answer:
7/9
Step-by-step explanation:
If the chances of an outcome are 2/9, the odds against it can be found by subtracting that from 1.
1 - 2/9
= 7/9
So, the odds against that outcome are 7/9
jona is b kg weight.her mother is seven kg less than three time than jona weight.how old is mother?
Answer: (3b - 7)kg
Step-by-step explanation:
Jona's weight = b kg
Since Jona's mother's weight is seven kg less than three time than jona's weight. This will be:
= (3 × b) - 7
= 3b - 7
Therefore, the mother is (3b - 7)kg
Two cars leave the same parking lot, with one heading north and the other heading'east. After several minutes, the northbound car has
traveled 12 kilometers and the eastbound car has traveled 9 kilometers, measured in a straight line. How far apart are the two cars? Round
to the nearest tenth, if a decimal.
Answer:
I DONT KNOW DO YOU?
Find the perimeter of the figure
9+5+1+5+4=24 In
this shld be the ans.
if its that simple
Write the nth term of the following sequence in terms of the first term of the sequence.
1, 8, 15, 22, ...
Answer:
a(n) = 1 + 7(n-1)
Step-by-step explanation:
What are the sine, cosine, and tangent ratios for angle a?
Answer:
sine: 5:13
cosine: 12:13
tangent: 5:12
Step-by-step explanation:
sine is opposite:hypotenuse
cosine is adjacent:hypotenuse
tangent is opposite:adjacent
D) If one gallon of paint covers 0.6 square meters, how many gallons of black paint they
need to paint the house?
Show your work
The width of the house is 3.5m and the height is 2.5m
Answer:
14.5833333333
Step-by-step explanation:
3.5x2.5=8.75, divided by 0.6 is 14.5833333333
Solve: -6n + 5 < 11
Which graph shows the solutions?
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
-6-5-4-3 -2 -1 0 1 2 3 4 5 6
-6-5 -4 -3 -2 -1 0 1 2 3 4 5 6
Answer:
graph should show an open circle on -2 with shading to the right
Step-by-step explanation:
-6n + 5 < 11
-6n < 6
n > -1
solutions consist of all number greater than -1
Arrange the expressions below in order from least to greatest. Place the least at the top and greatest at the bottom. ( 72 ÷ 8 ) − 2 × 3 + 1 72 ÷ ( 8 − 2 ) × 3 + 1 72 ÷ ( 8 − 2 ) × ( 3 + 1 ) 72 ÷ 8 − 2 × ( 3 + 1 )
Answer:
Step-by-step explanation:
2 × 3 + 1 72 ÷ ( 8 − 2 ) × 3 + 1 72 ÷ ( 8 − 2 ) × ( 3 + 1 ) 72 ÷ 8 − 2 × ( 3 + 1 )
Answer:
(72 divided by 8) second one, 72 divided by (8 - 2),third one, 72 divided by (8 - 2) x (3 + 1). last one. then the leftover number is the first one.
Step-by-step explanation:
Write 162 as a product of primes.
Use index notation when giving your answer.
Pls help me
Here is triangle ABC:
No links pls
Answer:
[tex]Given: AC=1[/tex]
∠A=0
[tex]Cos0=\frac{B}{H} =\frac{AB}{AC}[/tex]
[tex]Cos0=\frac{AB}{1}[/tex]
[tex]AB=Cos0[/tex]
-------------------------
hope it helps...
have a great day!!
Answer:
AB = AC×cos theta= cos theta
An airplane in flight needed to make an emergency landing so it descended at
an angle of depression of 15 degrees for 50000 feet until it landed. How many
feet is the vertical drop from when the plane initially began it's descent to
when it reached the ground? Round to the nearest whole number. (Hint:
draw a picture)
Answer:
13,397 ft
Step-by-step explanation:
tan 15 = height/50,000
0.2679(50,000) = 13,397 ft
To participate in a baseball league, the required equipment for each player is a glove, a hat, and a pair of cleats. A glove costs $45.95, a hat costs $23.95, and a pair of cleats costs $28.95. What is the total cost for a team of 13 players?
Answer:
Total cost for team: $1285.05
Step-by-step explanation:
45.95 + 23.95 + 28.95 = 98.85
98.85 * 13 = 1285.05
Determine which solution is correct for solving StartFraction 5 over 7 EndFraction y = 6using reciprocals.
Given:
The equation is:
[tex]\dfrac{5}{7}y=6[/tex]
To find:
The solution of the given equation by using the reciprocals.
Solution:
We have,
[tex]\dfrac{5}{7}y=6[/tex]
We need to multiply both sides by the reciprocal of [tex]\dfrac{5}{7}[/tex] to isolate the variable x.
The reciprocal of [tex]\dfrac{5}{7}[/tex] is [tex]\dfrac{7}{5}[/tex]. So, multiplying both sides by [tex]\dfrac{7}{5}[/tex], we get
[tex]\dfrac{5}{7}y\times \dfrac{7}{5}=6\times \dfrac{7}{5}[/tex]
[tex]y=\dfrac{42}{5}[/tex]
[tex]y=8.4[/tex]
Therefore, the value of y is 8.4.
Answer:
42/5
Step-by-step explanation:
zero of the polynomial p (x) =3x +4 is
Answer:
4
Step-by-step explanation:
Substitute by 0 in the function
Step-by-step explanation:
p(x) = 3x + 4
p(0) = 3(0) +
p(0) = 0 + 4 => 4 Ans.
Find the area of the figure.
plz i give brainliest.
Answer:
23.5 inches^2
Step-by-step explanation:
Area of triangle = 1/2 * base * height
area = 1/2 * (5+2) * (5+4)
area = 31.5 in^2
Area of rectangle = length * breadth
area = 4 * 2
area = 8 in^2
Area of figure = area of triangle - area of rectangle
area = 31.5 - 8
area =23.5 in^2
Do you want to buy the 101 disc CD charger for 108 and also the digital camera for 364 if the sales tax is 6.5 what is your after-tax total
Answer: 441.32 currency units
Step-by-step explanation:
The CD changer costs 108 currency units and the Camera costs 364 currency units.
First add these up to find out the total price:
= 108 + 364
= 472 currency units
The sales tax is 6.5% and this needs to be deducted from the total to get the after-tax total:
= 472 * ( 1 - 6.5%)
= 441.32 currency units
I need someone to explain this step by step. I have a test very soon.
Answer:
So you are going to multiply what is in the parentheses by two it will become 6x + 4.This will be for the second statement box. And the next will be 6x=18 and that will be the subtraction property or equality. For the last it would be x=3 and that would be the division property of equality.
Step-by-step explanation:
The difference of two numbers is 3. Their sum is 13.
Answer:
8 and 5
Step-by-step explanation:
Jenny's dog weighs 38 kilograms. There are about 2.2 pounds in 1 kilogram. About how many pounds does Jenny’s dog weigh?
Answer:
83.6 pounds
Step-by-step explanation:
1 kg = 2.2 pounds
38 x 2 = 76
.2 x 38 = 7.6
76 + 7.6 is 83.6
Answer:
83.6 pounds
Step-by-step explanation:
1 kg = 2.2 pounds
38 x 2 = 76
.2 x 38 = 7.6
76 + 7.6 is 83.6
PLEASE HELP!!!!!!!!! With 9, 10 and 11
Answer:
9. 6.6
10. 6
11. 8.9
Step-by-step explanation:
Pythagorean theorem states that a^2 + b^2 = c^2 where a and b are legs, and c is the hypotenuse (the longest side of the triangle).
For the first one, you're given the leg (3.1 in) and the eg (5.8 in), so you can substitute those into the equation:
a^2 + b^2 = c^2
(3.1)^2 + (5.8)^2 = c^2
Then simplify
9.61 + 33.64 = c^2
43.25 = c^2
To isolate c, take the square root of both sides.
The square root of 43.25 is 6.57647322, but they want you to round it to the nearest tenth, so round it to 6.6
For the second one, you're given one leg length and the hypotenuse.
8^2 + b^2 = 10^2
64 + b^2 = 100
To solve for b, subtract 64 from both sides
b^2 = 36
and take the square root of both sides
b = 6
For the last one, you're given a leg length and the hypotenuse
a^2 + 4.3^2 = 9.9^2
a^2 + 18.49 = 98.01
to isolate a, subtract 18.49 from both sides
a^2 = 79.52
then take the square root of both sides
a = 8.91739872 which rounds to 8.9
what do I do here..?
Answer:
Baking a cake is a chemical change.
Step-by-step explanation:
The baking powder or baking soda will undergo a chemical reaction. The heat helps baking powder or soda produce tiny bubbles of gas which makes the cake light and fluffy. That's why chemical reactions are involved in baking a cake.
Find the measure of line segment TU. Assume that lines which appear to be tangent to the circle are tangent.
A)
7
B)
8
0
9
D)
10
Answer:
d 10
Step-by-step explanation:
Answer:
Answer is D I’ve done it and got it right before
Step-by-step explanation: