[tex]\\ \sf\longmapsto tan60=\dfrac{WZ}{XW}[/tex]
[tex]\\ \sf\longmapsto \sqrt{3}=\dfrac{WZ}{12}[/tex]
[tex]\\ \sf\longmapsto WZ=12√3[/tex]
[tex]\\ \sf\longmapsto WZ=20.78[/tex]
Now
[tex]\\ \sf\longmapsto XZ^2=20.78^2+12^2[/tex]
[tex]\\ \sf\longmapsto XZ^2=431.8+144[/tex]
[tex]\\ \sf\longmapsto XZ^2=575.8[/tex]
[tex]\\ \sf\longmapsto XZ\approx 24[/tex]
Now
[tex]\\ \sf\longmapsto cos\Theta=\dfrac{XW}{XZ}[/tex]
[tex]\\ \sf\longmapsto cos\Theta=\dfrac{12}{24}[/tex]
[tex]\\ \sf\longmapsto cos\Theta=\dfrac{1}{2}[/tex]
Option C
The value of the cosine for the given triangle XZW will be ( 12 / 24 ). the correct option is C.
What are trigonometric functions?The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths. They are extensively utilized in various geosciences, including navigation, and solid mechanics.
Trigonometry is the branch of mathematics that set up a relationship between the sides and angle of the right-angle triangles.
The cosine ratio will be calculated by first calculating the perpendicular WZ.
WZ = 12 x tan60
WZ = 12 x √3
WZ = 12√3
Then calculate the hypotenuse of the triangle.
XZ² = 20.78² + 12²
XZ² = 430+ 144
XZ² = 574
XZ = 24
The cosine ratio will be calculated as:-
cosФ = Base / hypotenuse = 12 / 24.
Therefore, the value of the cosine for the given triangle XZW will be ( 12 / 24 ). the correct option is C.
To know more about Trigonometry follow
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If two books costs $90 how much for 5 book
Answer:
$450
Maybe this will help
Graph: y
2 + 5
y
X
y
8
6
4
2.
x
-4
-2.
2
4.
6
8
-2
-4
Draw
Click or tap the graph to plot a point.
The graph of [tex]y = \frac 34x +5[/tex] has a slope of 3/4 and a y-intercept of 5
The linear equation is given as:
[tex]y = \frac 34x +5[/tex]
Set x = 0
[tex]y = \frac 34 * 0 +5 = 5[/tex]
Set x = 1
[tex]y = \frac 34 * 1 +5 = 5\frac 34[/tex]
Set x = 2
[tex]y = \frac 34 * 2 +5 = 6\frac 12[/tex]
The above means that, the graph of [tex]y = \frac 34x +5[/tex] passes the following points
[tex](x,y) = \{(0,5), (1, 5\frac 34), (2,6\frac 12)\}[/tex]
See attachment for the graph of the linear function [tex]y = \frac 34x +5[/tex]
Read more about linear equations at:
https://brainly.com/question/14323743
the sum of three numbers is 20
the first is 4 times the sum of the other two
the second is seven times the third
what is the product of all three
Answer:
A*B*C= 28
Step-by-step explanation:
A+B+C=20
1. A = 4(B+C)
2. B = 7C
3. C = C
----------------------
1.
A = 4( 7C + C )
A=4(8C)
A= 32C
---------------------
A+B+C=20
32C + 7C + C = 20
40C = 20
C = 20/40
C = 1/2
------------------------
A= 32(1/2) = 32/2 = 16
B= 7(1/2) = 7/2
C= 1/2
A*B*C = 16 * 7/2 * 1/2
A*B*C= 28
Given f(x)=3x^2-5x+k and the remainder when f(x) is divided by x-4 is 38, then what is the value of k? brainliest for correct answer
Answer:
30
Step-by-step explanation:
please give me a brainlist
3x – 3 + 5x = 4(2x – 3).
-9 that is the answer
Answer:
3x - 3 + 5x = 4(2x -3)
collect like terms
3x + 5x - 3 = 8x - 12
8x -3 = 8x - 12
8x -8x = 3 - 12
it's null
the expression is an indefinite one
Evalueate-2/5-x(-9/10) where x= 4/5
Answer:
i think 8/25
Step-by-step explanation:
Answer:
-2 1/10
Step-by-step explanation:
Simplify the expression to a polynomial in standard form (x-3)(2x²-5x-5)
[tex] = 2 {x}^{2} - - 11 {x}^{2} + 10x + 15[/tex]
hope it helps
I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D
Answer:
A) 23+x = 35
x = 12
Step-by-step explanation:
The question is asking you to find the equation and variable that best represents the scenario. We know that Emily had 35 dollars and had 7 dollars after paying for everything. This means that 7 plus what she spent must equal 35. However, we only know the cost of the ticket. So, add the cost of the ticket to the money left to figure out part of the equation. This equals 23 dollars. Therefore, whatever is left must be what she spent on lunch. So, the equation should look like 23 + x = 35. This is because the $23 is the ticket/the amount left and the x is the cost of lunch. Together they equal what Emily brought to the fair.
please someone help me asap i will give brainliest to correct answer!
Answer:
C
Step-by-step explanation:
it's c because this is a false statement, which means that the original statement is also a false one
so it doesn't have any answer
Find A + B. Help me please.
Answer:
D.
therefore,A+B is equal to D
-6+2u≤2 ?????????????????
Answer:
2u≤8⇒u≤4
Step-by-step explanation:
Estimate 0.03415 to the nearest hundredth. Express your answer as a single digit times a power of ten
Answer:
3 raise to power -100
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
A cube has edge length 11 inches. Just type the number of the answer.
What is the volume?
cubic inches
What is the surface area?
square inches
Volume of a cube = l³
= (11 in)³
= 1331 in³
Surface area of cube = 6a²
= 6 (11 in)²
= 726 in²
What is 1,00000000000000000000000000 x 2,00000000000005567898765434567899876543456787654
Answer:
2
Step-by-step explanation:
caulculator
A 3m wide road runs around a circular park whose circumference is 132m . Find the cost of fencing the outer boundary of the road at the rate of $10 per m
Answer:
$ 1508.57 and please give brainliest
Step-by-step explanation:
The road around the park = 3 m wide,
and the circumference of the park = 132 m,
We have to find the cost of fencing
the outer boundary,
the rate = $10 per m
Step-by-step explanation:
As we know that the circumference
of a circle = 2 × 22÷7 × radius
2 × 22÷7 × radius = 132 m,
44 × radius = 132 m × 7,
44 × radius = 924 m,
radius = 924 ÷ 44 m
So, radius = 21 m ( smaller circle )
radius = 21 m + 3 m ( larger circle )
= 24 m
Usually, we fence on the borders means it's
the circumference of the larger circle
= 2 × 22÷7 × radius
= 44÷7 × 24 m
= 1056÷7 m
= 150.85 m
cost of fencing = $ 10/m
total cost = 150.85 × $ 10
= $ 1508.57
QUICKLY! ILL GIVE BRAINLEST AND THANKS!!
The number of kilometer, k, an airplane flew is shown in the table, where the time, t, is hours after take off. Choose the most appropriate scale for graphing this data set.
Answer:
t one because changing for t is approximately 1
and for kilometers is better you choose 1000
8. Jackie is creating a spreadsheet to keep a record of amounts she has collected
from customers for candy boxes she has sold to them. She must write a linear
equation in two variables to represent the amount collected in terms of
number of boxes sold. She has been using the table below to determine the
amount to charge.
Which linear equation in two variables can Jackie used to represent the amount of collected in terms of number boxes sold in her spread sheet?
A. y=5.5x+6.75
B.y=13.5x-1.25
C.y=13.5x+12.25
D.y=6.75x+5.5
Answer:
D. y = 6.75x + 5.5Step-by-step explanation:
The slope intercept form:
y = mx + b, where m- slope, b- y-interceptUse two ordered pairs from the table and work out the equation.
(1, 12.25) and (3, 25.75)Find the slope:
m = (y₂ - y₁)/(x₂ - x₁)m = (25.75 - 12.25)/(3 - 1) = 13.5/2 = 6.75Find the y- intercept:
12.25 = 6.75*1 + bb = 12,25 - 6.75b = 5.5The equation is:
y = 6.75x + 5.5Correct choice is D
Slope
m=(25.75-12.25)/3-1m=6.75Equation in point slope form
y-12.25=6.75(x-1)y=6.75x+5.5Help Me please i need it right now
with Complete answer Like
What is asked?
What are given?
What operation should be used?
What is the number sentence?
Show your solution
Answer:
1.
what is asked? how far did she walk to the church?
what are given?
- the total distance from her house to the church: [tex]\frac{3}{4}km[/tex]
- the distance she rode to the church on a tricycle: [tex]\frac{1}{8} km[/tex]
what operation should be used? subtraction
what is the number sentence?
[tex]\frac{3}{4} -\frac{1}{8}=\frac{5}{8} km[/tex]
solution: [tex]\frac{5}{8} km[/tex]
2.
what is asked? how much cake did they eat in total?
what are given?
- amount Catherine ate: [tex]\frac{1}{3}[/tex]
- amount Bernard ate: [tex]\frac{3}{8}[/tex]
what operation should be used? addition
what is the number sequence? [tex]\frac{1}{3} +\frac{3}{8}=\frac{17}{24}[/tex]
solution: [tex]\frac{17}{24}[/tex] of the cake was eaten
3.
what is asked? how many kg of ground meat was left?
what is given?
- the total amount of meat there was at the beginning: [tex]10\frac{4}{5}[/tex]kg
- amount of meat used:[tex]3\frac{2}{3}kg[/tex]
what operation should be used? subtraction
what is the number sentence? [tex]10\frac{4}{5} -3\frac{2}{3} =7\frac{2}{15} kg[/tex]
solution: [tex]7\frac{2}{15}kg[/tex] of meat was left
4.
what is asked? how far did she travel from home to school?
what is given?
- how far Jasmine travels by bus: [tex]6\frac{3}{8} km[/tex]
- how far she travels by tricycle: [tex]5\frac{2}{5} km[/tex]
what operation should be used? addition
what is the number sentence? [tex]6\frac{3}{8}+5\frac{2}{5} =11\frac{31}{40} km[/tex]
solution: [tex]11\frac{31}{40}km[/tex] traveled
5.
what is asked? how many meters of cloth were used?
what is given?
- amount of cloth used for pants:[tex]2\frac{3}{4} m[/tex]
- amount of cloth used for a skirt: [tex]1\frac{9}{10} m[/tex]
what operation should be used? addition
what is the number sentence? [tex]2\frac{3}{4}+1\frac{9}{10} =4\frac{13}{20} meters[/tex]
solution: [tex]4\frac{13}{20} meters[/tex] of cloth was used
*I wasn't sure how detailed the number sentence should be, like if work needed to be shown, so here is the image of the work
Sophia works in a clothing store and earns $40 per day. She earns an extra $5 for each outfit
she sells. If Sophia wants to earn at least $70 per day, which inequality shows the minimum
number of outfits, n, that she should sell?
Answer:
6 outfits
Step-by-step explanation:
6 x 5 = $30 + $40 = $70
HELP PLEASEEEEEEEEEEEEEEEEEE
Answer:
19, 18, 15.5
Step-by-step explanation:
To solve this problem, you need to substitute the given values into the function.
b(x = -2) = 18 - 0.5(-2) = 18 + 1 = 19
b(x = 0) = 18 - 0.5(0) = 18 - 0 = 18
b(x = 5 ) = 18 - 0.5(5) = 18 - 2.5 = 15.5
I need help understanding this
Answer:
i got 1.28
Step-by-step explanation:
Answer:
128 questions
Step-by-step explanation:
75%•x=96
[tex]\frac{75}{100}[/tex]•x=96
x=96•[tex]\frac{100}{75}[/tex]
x=128
2/9 divided by 5/12 in a simples form
answer is a fracton
Answer:
8 / 15
Step-by-step explanation:
2/9 ÷ 5/12
= 2/9 × 12/5 Reciprocal of 5/12
= 2×12 / 9×5 Multiply num. by num. and denom. by denom.
= 24 / 45 Find LCD
= 24 ÷ 3 / 45 ÷ 3 Divide num. and denom. by LCD to simplify.
= 8 / 15
I got Points to burn, here you go
6÷2(1+3)
Answer:
12
Step-by-step explanation:
huhiihiuhihihihihihi
Answer:
1+3=4 and 2 times 4 is eight. 8 divided by 6 is 1.33333333333333333333
Simplify as far as possible.
7
√
5
−
3
√
5
Answer:
4 sqrt(5)
Step-by-step explanation:
7 sqrt(5) - 3 sqrt(5)
These are like terms so we can subtract
4 sqrt(5)
A man walks 10 miles In xhours. How far does he walk in one hour?
Answer:
10
Step-by-step explanation:
Answer:
if he is walking 10 miles then in 10 hours
Step-by-step explanation:
every 1 mile is 1 hour meaning every 10 miles is every 10 hours
What is the y-intercept of the function, represented by the table of values
below?
O A. 5
O B. 3
O c. 10
O D. 6
what is the answer? 10 + (–4) =
answer
6
explanation
10+(–4)
When there is a + sign Infront of an expression with parentheses, the expression remains the same.10–4
Subtract the numbers.6
The answer is 6Geometry please help ASAP
Answer:
D) 22
Step-by-step explanation:
B is the midpoint. The midpoint is the point in a line that breaks the line into two equal segments. With that info, we know that BC = AC.
So that means:
3x - 14 = x + 10
Now solve this equation.
3x - 14 = x + 10
+14. +14
3x = x + 24
-x
2x = 24
/2. /2
X = 12.
Now we know the value of x, insert the value into x + 10.
12 + 10 = 22
The answer is 22
Answer:
B) 12
Step-by-step explanation:
Because,
3x - 14 = x + 10
3x - x = 10 + 14
2x = 24
x = 12
Need help. Image below. (Geometry)
Answer:
B is subset of A
Step-by-step explain
I think in my college
The Empire State Building has 102 stories. The building was created at a rate of 4 1/2 stories per week. How many weeks did it take to complete the building?
Answer:
22.6
Step-by-step explanation:
102÷4 1/2=22.6
You can double check this by multiplying 22.6 with 4 1/2, which will give you the answer without it being rounded.