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.
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
The difference of two numbers is 3. Their sum is 13.
Answer:
8 and 5
Step-by-step explanation:
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:
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?
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:
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
Write 162 as a product of primes.
Use index notation when giving your answer.
find the surface area of the prism
Answer:
62ft²
Step-by-step explanation:
Hi there!
Surface area is calculated by this formula:
2(length*width)+2(width*height)+2(length*height)
*note: we multiply each area by 2, as the prisim has 6 faces, or 2 of each face
we're given a length of 5 ft, a width of 2 ft, and a height of 3ft
now let's calculate the surface area
to find the area of the first two faces:
2(length*width)
2(5*2)
2(10)
20 ft²
now to find the area of the second two faces:
2(width*height)
2(2*3)
2(6)
12 ft²
finally, find the area of the last two faces:
2(length*height)
2(3*5)
2(15)
30 ft²
now add up all the values
SA=20+12+30=62 ft²
your answer is 62ft²
Hope this helps!
PLEASE HELP MEEEE!!!
Answer:
x= 9
y= 3 root 3
Step-by-step explanation:
to find the shorter leg length you have: hypotenuse/2
[tex] \frac{6 \sqrt{3} }{2} = 3 \sqrt{3} [/tex]
to find the longer leg length you have: shorter leg × root 3
[tex]3 \sqrt{3} \times \sqrt{3} = 3 \sqrt{9 } = 3(3) = 9[/tex]
A gardener wants to build a new garden with a path around it. He wants the dimensions of the total space (garden and path) to be 16 feet by 14 feet. If he wants the total area of the garden to be 120 squared feet how wide should he make the path?
Answer:
The width of the park should be 7.5 feet.
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
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
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
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
Whats the volume for this question?
Answer: 34 21/64
Step-by-step explanation: Multiply all the sides to get the Volume.
3 1/4 x 3 1/4 x 3 1/4 = 34 21/64
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
true or false!!!!!!! Good luck!
ceva's theorem can alway be used to determine wether or not medians of a triangle are concurrent.
ceva's theorem can always be used to determine whether or not altitudes of a triangle are concurrent.
in lobachevskian geometry, the sum of the angles of a triangle is less than 180 degrees
in riemannian geometry, the sum of the angles of a triangle is less than 180 degrees
in lobachevskian geometry, the summit angles of a saccheri quadrilateral are obtuse
in riemannian geometry, the summit angles of a saccheri quadrilateral are obtuse
in euclidian geometry, the summit angles of a saccheri quadrilateral are obtuse
in a circle, if an inscribed angle and a central angle intercept the same arc, which symbol (<,>,=) correctly completes this mathematical sentence?
3. True
4. False
5. False
6. True
7. False
I dont know numbers 1, 2, or 8.
The statement 4,5 and 7 are false and the statements 3 and 6.
We have given that,
Ceva's theorem can always be used to determine whether or not medians of a triangle are concurrent.
Ceva's theorem can always be used to determine whether or not the altitudes of a triangle are concurrent.
In Lobachevskian geometry, the sum of the angles of a triangle is less than 180 degrees
In Riemannian geometry, the sum of the angles of a triangle is less than 180 degrees.
In Lobachevskian geometry, the summit angles of a Saccheri quadrilateral are obtuse
In Riemannian geometry, the summit angles of a Saccheri quadrilateral are obtuse
In euclidian geometry, the summit angles of a Saccheri quadrilateral are obtuse
In a circle, if an inscribed angle and a central angle intercept the same arc,
We have to determine the statement true or false.
What is Riemannian geometry?A Riemannian manifold or Riemannian space, so-called after the German mathematician Bernhard Riemann, is a real, smooth manifold M equipped with a positive-definite inner product gI on the tangent space TIM at each point p.
Therefore, The statement 4,5, and 7 are false, and the statements 3 and 6.
To learn more about the Riemannian geometry visit:
https://brainly.com/question/12497432
#SPJ2
The solid below is made of twelve identical rectangular prisms. The overall dimensions of the composite solid are 36 inches (in.) by 36 inches by 24 inches. What is the volume, in cubic inches, of a single prism?
Whoever answers correctly will get Brainliest.
Answer:
A
Step-by-step explanation:
Volume of the solid = base x width x height = 36 x 36 x 24 = 31 104 in^3
Volume of one prism = total volume / 12 = 31 104 / 12 = 2592 in^3
Which of the following equations is the translation 2 units up of the graph of y=Ixl?
Answer:
y=|x|+2
Step-by-step explanation:
Umm where’s the graph.
If the graph is up 2 units y=|x|+2
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
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.
please help
writing in terms of i
Answer:
[tex]4i \sqrt{6} [/tex]
A game is played with a spinner on a circle, like the minute hand on a clock. The circle is marked evenly from 0 to 100, so, for example, the 3:00 position corresponds to 25, the 6:00 position to 50 and so on. The player spins the spinner, and the resulting number is the number of seconds he or she is given to solve a word puzzle. If 100 players are randomly selected, what is the approximate probability that the average time these players will get to solve the puzzle is between 44 and 56 seconds
Answer:
P( 44 < X < 56 ) = 0.12
Step-by-step explanation:
Number of seconds one gets to solve the puzzle ( X )
E( X ) = 100 + 0 ) / 2 = 50
Var ( X ) = 833.3333
бx = √833.3333 = 28.868
Determine The approximate probability
P( 44 < X < 56 ) = Δ time given / number of players selected
P( 44 < X < 56 ) = (56 - 44) / 100
= 12 / 100 = 0.12
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
What is the slope of a line parallel to the line whose equation is3x−4y=8?
A:-4/-3
B:-3/-4
C:3/4
D:4/3
Answer:
i think 3/4
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
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:
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
The sum of two numbers is 52. The smaller number is 20 less than the larger number. What are the numbers?
Answer:
36 and 16
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
you can get the answer from 40+12 giving you 52 but its not stated the type of problem it is so use addition.