please help me i’m so lost Determine the lengths of AB and AC in the right triangle. You may give your answers in radical
form.
Answers
Answer:
see explanation
Step-by-step explanation:
Using the sine/ cosine ratios in the right triangle and the exact values
sin30° = [tex]\frac{1}{2}[/tex] , cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{6}{AB}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
AB = 12
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{AC}{12}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2 AC = 12[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
AC = 6[tex]\sqrt{3}[/tex]
Related Questions
Ella brought 7 new Christmas cards to add to her card collection this year. the next day she mailed half of her entire collection to her elf family and friends. there are now only 21 cards left. how many cards did Ella start with?
Answers
Answer:
42
Step-by-step explanation:
the half of 42 is 21 so if she mailed the half of it then she just have 21 cards
Solve the proportion
x/10=9/5
Answers
Answer:
X = 10*9/5
= 2*9
= 18
Answer = 18
Answer:
[tex]x=18[/tex]
Step-by-step explanation:
First way (equivalent fractions):
[tex]\frac{x}{10}=\frac{9}{5}[/tex]
[tex]\frac{x}{10}=\frac{18}{10}[/tex]
[tex]x=18[/tex]
Second way (cross multiplication):
[tex]\frac{x}{10}=\frac{9}{5}[/tex]
[tex]5x=90[/tex]
[tex]x=18[/tex]
Claire correctly solved the proportion StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction for x by using cross products to get the equation 16 x = 144 and then dividing both sides by 16 to get x = 9. She showed that she can use cross products to solve the proportion because she gets the same answer if the solves it as shown.
StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction. StartFraction x over 4 EndFraction times 4 = StartFraction 36 over 16 EndFraction times 4. x = StartFraction 144 over 16 EndFraction. X = 9.
What property allowed her to go from StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction to StartFraction x over 4 EndFraction times 4 = StartFraction 36 over 16 EndFraction times 4?
addition property of equality
subtraction property of equality
multiplication property of equality
division property of equality
Answers
Answer:
(c) multiplication property of equality
Step-by-step explanation:
Both sides of the equation can be multiplied by the same number without changing the values of any variables. This is the multiplication property of equality.
Two ramps are being built with the same slope. The first ramp is twice the height of the second ramp. Does the first ramp have to be twice as long as the second ramp? Explain.
Answers
Evaluate the expression when a=-3 and x=5.
a-2x
Answers
Explanation:
We replace 'a' with -3, and we replace x with 5. Then evaluate.
a - 2x
-3 - 2(5)
-3 - 10
-13
64 divided by 1184 worked out
Answers
Answer: 18.5
Step-by-step explanation: 1184/64= 18.5
What is the LCM of 8 and 10
Answers
8x5=40
10x4=40
Hope this helps
please answer!!!!!!!!!!!
Answers
What is the value of x?
A. 24
B. 33
C. 72
D. 75
Answers
Answer:
B. x = 33
Step-by-step explanation:
What two numbers multiplied together equal 42 but when added they equal -13
Answers
Answer: -7 and -6
Step-by-step explanation:
16.11 ÷ 99
19.6 ÷ 20
0.9 ÷ 11
50.8 ÷ 45
0.1414 ÷ 2
0.213 ÷ 31
Answers
1: 0.16272727272
2: 0.98
3: 0.08181818181
4: 1.12888888889
5: 0.0707
6: 0.00687096774
What is (f •g)(x)
f(x)= -3x^2-5x
g(x)=5x
Answers
Answer:
sorry I didnt get you. whats the mean of ^ symbole.
At Simba Travel Agency, the price of a climbing trip to Mount Kilimanjaro includes an initial fee plus a constant fee per meter.
The variable f models the fee (in dollars) for climbing d meters.
f=110+0.12d
What is the initial fee?
Answers
110 is the initial fee.
intial fee is the y-intercept.
a calculus problem that i have no idea what to do please help
Answers
Answer:
-[tex]\sqrt{5}[/tex]/8
Step-by-step explanation:
so you are looking to find the second derivative of this function, given the derivative. that means that all you have to do is take the derivative of that function and then plug in 16 for h.
rewrite the function to be -(5h)^1/2
then take its derivative using power rule and chain rule
-(1/2)*(5)*(5h)^(-1/2) **the five comes from the chain rule and taking the derivative of the 5h
then plug in 16 for h to find -[tex]\sqrt{5}[/tex]/8 or about -0.2795
In his pocket, Hamid has $2.95 in dimes and quarters. If there are 16 coins in total, which system represents the number of dimes and quarters that Hamid has?
A. x + y = 16. 0.10 x + 0.25 y = 2.95.
B. x + y = 16. 0.05 x + 0.25 y = 2.95.
C. x + y = 2.95. 0.10 x + 0.25 y = 16.
D. x + y = 16. 0.01 x + 0.25 y = 2.95.
Answers
x=7
Answer:
A. x + y = 16; 0.10x + 0.25y = 2.95Step-by-step explanation:
Given:
Dime is $0.10, number of dimes is x, total of dimes = 0.10xQuarter is $0.25, number of quarters is y, total of quarters is 0.25yNumber of coins is 16:
x + y = 16Total amount is $2.95:
0.10x + 0.25y = 2.95Correct choice is A
Construct ΔXYZ in which XY = 4.5 cm, YZ = 5 cm and ZX = 6 cm. (Plus could you tell me which sides i can use for starting the diagram) please help me before tmrw
Answers
Answer:
see attached
Step-by-step explanation:
I find it usually works well to draw the longest side first. Then draw arcs with radii equal to the other two side lengths. They will cross at an angle that makes the position of the third point easy to find.
Triangle JKL is similar to triangle MNO. Find the measure of side MN. Round your answer to the nearest tenth if necessary.
Answers
Answer:
I believe the answer is 47. Forgive me if I'm wrong
Max points i need this for finals
Answers
Answer:
[tex]Slope (m) = \frac{y}{x} = \frac{3}{1} =3[/tex]
Step-by-step explanation:
[tex]Slope (m) = \frac{y}{x} = \frac{3}{1} =3[/tex]
[tex]0 = arctan(\frac{y}{x}) + 180^o = 251.56505117708^o[/tex]
X = -4 – -2 = -2
Y = 4 – 10 = -6
[tex]Distance (d) = \sqrt{x^2+y^2}=\sqrt{40} = 6.3245553203368[/tex]
Equation of the line:
y = 3x + 16
When x=0, y = 16
When y=0, x = -5.3333333333333
what is 80,704 rounded to the nearest 10 thousand
Answers
80,000
Just look at the number in the ten thousand place and check if you have to round up or down.
HURRY QUCIK
Drag the tiles to the boxes to form correct pairs.
Match the pairs of equivalent expressions.
Answers
Answer:
Step-by-step explanation:
Can you help me, please?
Answers
Answer:
listen picture is not clear
Can someone please take the time out of They’re day and help me with this
Answers
Answer:
a. 3x = 2x + 10, b. x = 10, c. 30 degrees
Step-by-step explanation:
Angle 4 and angle 6 = 180 degrees, so
3x = 2x + 10
x = 10
Angle 7 is congruent to angle 6, so it is also 2x + 10, x = 10, so it is 30 degrees.
Answer:
see explanation
Step-by-step explanation:
∠ 4 and ∠ 6 are same- side interior angles and sum to 180° , that is
(a)
3x + 2x + 20 = 180 , simplifying
(b)
5x + 20 = 180 ( subtract 20 from both sides )
5x = 160 ( divide both sides by 5 )
x = 32
(c)
∠ 6 and ∠ 7 are vertically opposite angles and are congruent , then
∠ 7 = 2x + 20 = 2(32) + 20 = 64 + 20 = 84°
Question 5 of 10
What is the solution to this equation?
6x + 10 - 2x = 7 + 23
A. X = 15
B. X= 4
C. X= 5
D. X= 2
Answers
Answer:
x=5
Step-by-step explanation:
First you combine the like terms. next you add 7+23. After that you subtract 10 from both sides. You're left with 4x=20. divide the equation by 4 on each term. Then you're left with x=5.
Start by isolating the constant from the variable values
6x-2x=7+23-10
4x=20
Then divide by 4
X=5
In a bag, the ratio of red to blue counters is 3:4.
If 3 red counters are removed the ratio of red to blue counters becomes 3:5.
How many blue counters are there in the bag?
Answers
(r-3)/b = 3/5
5(r-3) = 3b
5(2/3 b - 3) = 3b
Just solve for b
If 2 caterpillars eat 6 leaves each day, how many leaves do 12 caterpillars need each day?
Answers
2 caterpillars = 6 leaves
We’ve been told to work out how many leaves 12 caterpillars eat each day.
So we can fill in our extra information…
2 caterpillars = 6 leaves
12 caterpillars = x leaves
From 2 to 12, we have multiplied by 6. What we do to one side, we must do to the other. Therefore, 6 x 6 = 36 leaves.
So for 12 caterpillars, they eat 36 leaves each day.
Answer:
72 Leafs
Step-by-step explanation:
Write an explicit formula for a_na n , the n^{\text{th}}n th term of the sequence 72, 12, 2,
Answers
Answer:
divide by 6
Step-by-step explanation:
in what step did audrey make her mistake in
Answers
Answer:
step A
Step-by-step explanation:
she should have added x to both sides.
Answer:
-x+6=5x+30
6=6x+30
6x=-24
x=4
if you want to get rid of the -x you have to add x not take away x
Hope This Helps!!!
Can someone please help me with this easy math problem?
Answers
Answer:
K(w)=P(w)
150 - 15w = 180 - 20w
Collect like terms
-15w + 20w = 180 - 150
5w = 30
w = 30/5
w = 6
Therefore, w = 6 weeks
enter an algebraic expression for the word expression.
2 decreased by n
Answers
Answer:
2 - n
Step-by-step explanation:
2 decreased by n means n less than 2.
Answer:
Write each phrase as an algebraic expression. Phrase, Expression. nine increased by a number x, 9 + x. fourteen decreased by a number p, 14
Step-by-step explanation:
2-n Plz mark brainliest if correct
EASY QUESTION! MARK BRAINLIEST!
if i pay $3.50 a month how much do i pay a year? :)))
Answers
Answer:
42
Step-by-step explanation:
3.50x12 = 42