Answer:
x = 4/√2
y = 4/√2
Step-by-step explanation:
Hypotenuse = 4
θ = 45°
x = Opposite side
y = Adjacent Side
a) Solving for x = Opposite side
We solve using Trigonometry function of Sine
sin θ = Opposite/Hypotenuse
sin 45 = x/4
Cross Multiply
x = sin 45 × 4
Note that : sin 45 = 1/√2
x = 1/√2 × 4
x = 4/√2
b) Solving for y
We solve using Trigonometric function of Cosine
cos θ = Adjacent/Hypotenuse
cos 45 = x/4
Cross Multiply
x = cos 45 × 4
Note that : cos 45 = 1/√2
x = 1/√2 × 4
y = 4/√2
any flvs algebra students wanna help me out? :')
2.
Find the value of x. If necessary, round to the nearest tenth.
A. 13.7 in.
B. 11.7 in.
C. 9.7 in.
D. 6.9 in.
Answer:
A
Step-by-step explanation:
13.7
PLSS HELP ASAP WILL GIVE BRAINLIEST
Answer:
R (3,-2) S(5,2) T(6,0)
Step-by-step explanation:
what are the x intercepts if y is 16x takeaway 8x squared?
Answer:
The x-intercepts are (0, 0) and (2, 0)
Step-by-step explanation:
The function is y = 16x - 8x^2.
To find the x-intercepts, we set this function equal to zero (0) and solve the resulting equation for x:
16x - 8x^2 = 8x(2 - x) = 0.
Then 8x = 0 yields x = 0 and 2 - x = 0 yields x = 2
The x-intercepts are (0, 0) and (2, 0)
2. Illustrate using a Venn diagram the union and intersection of the following event. Given event A are
numbers which are multiples of 3 between 1 and 40 and event B are even numbers from 10 to 30.
Answer:
A intersection B = {12,18,24,30}
Step-by-step explanation:
A ={3,6,9,12,15,18,21,24,27,30,33,36,39}
B ={10,12,14,16,18,20,22,24,26,28,30}
There are 24 men in a room
¼ of the men are wearing red shirts
½ of the men are wearing green shirts
The remaining men are wearing blue shirts
Workout the number of men that are wearing blue shirts
Answer:
6
Step-by-step explanation:
1/4= 6 men
1/2=12 men
therefore 24-12-6=6 men
Kelly is creating lemonade by mixing 3 parts lemon juice with 2 parts sugar. If she uses 3
cups of sugar, how many cups of lemon juice does she use?
Answer:
lemon juice : parts sugar
3 :2
? :3
3/2 × 3 = 4,5 cups of lemon
Answer:
4.5
Step-by-step explanation:
the ratio of lemon juice to parts sugar is 3:2. to convert into cups, it turns into ?:3. to turn 2 into 3, you multiply by 1.5, so you have to do the same to 3, to get 4.5, 3:2 is equal to 4.5:3 so kelly would have to use 4.5 cups of lemon juice.
what is the height of this triangle?
Answer:
XY (height) is approximately 20.8 feet
Step-by-step explanation:
let h = XY
tan60° = h/12
h = 12·tan60°
h = 20.78 ft
Watch rep
Given the definitions of f(x) and g(x) below, find the value of (fºg)(-8).
f(x) = x² – 3x – 12
g(x) = -x - 12
Submit Answer
Answer:
attempt 1 out of
O
Answer:
The value of [tex]f\,\circ\,g(-8)[/tex] is 16.
Step-by-step explanation:
The composition consist: in replacing the independent variable ([tex]x[/tex]) of [tex]f(x)[/tex] by [tex]g(x)[/tex]:
[tex]f(x) = x^{2}-3\cdot x -12[/tex] (1)
[tex]g(x) = -x-12[/tex] (2)
[tex]f\,\circ\,g (x) = (-x-12)^{2} - 3\cdot (-x-12) -12[/tex] (3)
[tex]f\,\circ\,g(x) = (x^{2}+24\cdot x + 144) +(3\cdot x +36) - 12[/tex]
[tex]f\,\circ\,g(x) = x^{2} +27\cdot x +168[/tex]
[tex]f\,\circ g(-8) = (-8)^{2}+27\cdot (-8) +168[/tex]
[tex]f\,\circ\,g(-8) = 16[/tex]
The value of [tex]f\,\circ\,g(-8)[/tex] is 16.
Luke puts $35 in his savings account every month. Use a calculator to find how much money he will save in a year.
Bank A charges a monthly service fee of $2.00 and a per-check fee of $0.05, while Bank B charges a monthly service fee of $1.50 and a per-check fee of $0.10. Which of these numbers of monthly checks will cause Bank A to charge less in fees than bank B?
A. 10
B. 11
C. 8
D. 9
Answer:
The 11th check
Step-by-step explanation:
Those who are math geniuses, please help, this is timed T-T
I will mark brainliest for the best answer!
Answer:
Top box: Endpoint
Bottom box: Ray
Step-by-step explanation:
Assuming that the top box is supposed to be for the point shared by both rays, then it is a endpoint of the rays, as the lines do not continue past the point on the opposite side.
The bottom box will then be a ray, as no point is shown, and a arrow is used at the "end" of the line to signify that it will continue on forever.
~
A rectangular tank measures 30 cm by 20 cm by 40 cm. How many milliliters of water are in the tank when it is full? How many liters is that? Solve this problem in the math section
Answer:
24000 cm³ or 24 L
Step-by-step explanation:
The measure of a tank is 30 cm by 20 cm by 40 cm.
We need to find the volume of water in the tank when it is full.
Volum = 30 cm × 20 cm × 40 cm
= 24000 cm³
1 cm³ = 1 ml
24000 cm³ = 24000 mL
Also, 1 cm³ = 0.001 ml
24000 cm³ = 24 L
Hence, this is the required solution.
Simplify the expressions.showing express your answers with positive exponents
(2x^2)^3
Step 1: Rewrite (to help understand the problem)
(2x^2) * (2x^2) * (2x^2)
Step 2: Distribute (going back to the original problem)
(2^3) * (x^2)^3
Step 3: Simplify
8 * x^6 || Remember that we multiply exponents in this case!
Answer: 8x^6
Hope this helps!! :)
what is the answer to
3 + 2x = -6x + 4
Answer:
if you are looking to solve for x the answer is
[tex] \frac{1}{8}[/tex]
Step-by-step explanation:
first you need to gather all the variables (x) to one side of the equation so take right hand side:
2x + 6x = 4 - 3
remember to watch out for the sign changes. then:
[tex]8x = 1[/tex]
therefore
[tex]x = \frac{1}{8}[/tex]
A company bought a piece of machinery for $16 200. In the first it depreciated 15%, and in the second year 10%. How much was it worth when two years old?
A line with a slope of 3 passes through the point (2, 6). What is its equation
in slope-intercept form?
please help i need my ixl done and i don’t understand this lesson
Answer:
I found: y=−3x+12
Explanation:
You can use the relationship:
y−y0=m(x−x0)
Where m is the slope and x0,y0 the coordinates of your point.
So with your data:
y−6=−3(x−2)
y=−3x+6+6
y=−3x+12
or:
3x+y=12
Please help!find x and y
x=6
y=9
Hope it helps you...
Q. Mohammed calculated the volume of the prism as 240 cm3. Is he correct? *
a- yes
b- no
Answer:
I gues s it s yes. if correct brainlest answer pla..
Answer:
No
Step-by-step explanation:
The formula for a triangular prism is
[tex] \frac{1}{2} a \times h[/tex]
where a is the area of the triangle.
The area of a triangle is
[tex] \frac{4 \times 5}{2} = 10[/tex]
so the volume is
[tex]10 \times 12 = 120[/tex]
pls help middle school math
Given ,
5<x<10 and 8<y<19
For y-x,
8-5<y-x<19-10
3<y-x<9
someone help me out please:(
Answer:
[tex]m(x) = - 3x - 3[/tex]
Step-by-step explanation:
[tex]m(x) = f(x) - g(x)[/tex]
[tex]m(x) = (2x+1)−(5x+4)[/tex]
[tex]m(x) = 2x+1−(5x)−1 \times 4[/tex]
[tex]m(x) = 2x+1−5x−1 \times 4[/tex]
[tex]m(x) = 2x+1−5x−4[/tex]
[tex]m(x) = −3x+1−4[/tex]
[tex]m(x) = −3x−3[/tex]
Hope it is helpful...Determine whether the triangles are congruent. Explain your reasoning .
SAS (Side, Angle, Side) or ASA (Angle, Side, Angle)
Answer:
The triangles are congruent by congruency theorem SAS.
Step-by-step explanation:
Side-Angle-Side, as it suggests, is when a triangle is congruent by the order of congruent side, congruent angle, and another congruent side. If named certain ways, they can be congruent. Since the question does not provide a specific way of naming the triangles, we can assume that any way is allowed. 2.5 and 2.5 are congruent, followed by angles D and G which have the congruent angle markers. The congruent angles are followed by 1.7 and 1.7, making the triangles congruent by Side-Angle-Side.
Which choice is equivalent to the expression below when x 0?
√328 – 116x + 428 – 12x
O A. 3x12x
O B. 4x/2x
O c. 18x
O D. 32x
the answer is d hopes this helps you
Aseem and Stana are building model cars. stanas car is 5 less than 2 times the length of Aseem's car. The sum of the lengths of both cars is 20. write an equation to determine the lengths of Aseem's and Stana's cars
Answer:
Aseem’s : 8.3, Stana’s : 11.6
Step-by-step explanation:
Aseem: x
Stana: 2x-5
X+2x-5=20
3x=25
X = 8.3
Complete the input-output table for the function y=3^x
X Y
-2 1/9
-1 1/3
0 1
1 3
2 9
3 a
4 b
A=?
B=?
9514 1404 393
Answer:
A = 27
B = 81
Step-by-step explanation:
Fill in the x-value and do the arithmetic.
a = 3^3 = 27
b = 3^4 = 81
Sally is 54 years old and her mother is 80, how many years ago was Sally's mother three times her age?
Answer:
So , 41 years ago, Mothers age is 3 times of Sally's age. When Sally's age was 13 , and her mom age was 39 (
Plz help ill give u brainlyest.
Also anser a and b
Answer:
A) 4/7 feet
B) 4/7 x 15 = 60/7 or [tex]8\frac{4}{7}[/tex]
Lemont answered 6 out of 40 questions on a
test incorrectly. What percentage of the
questions did he answer correctly?
Answer:
85%
Step-by-step explanation:
(40 - 6)/40 * 100%
34/40 * 100%
85%
When Alissa was 5 years old, she started collecting pennies. She collects an average of 24 pennies per week . How many pennies can she collect in 27 week?
Answer:
Step-by-step explanation:
648 I think
Translate this phrase into an algebraic expression.
8 more than twice Matt's savings
Use the variable m to represent Matt's savings.
Answer:
2m + 8
Step-by-step explanation:
It's rather simple to break it down, take "8 more" as (+ 8) and twice Matt's savings into (2 * m) which then becomes simply (2m). Because of pemdas, your final answer should be 2m first then + 8, so 2m+8