Answers
Answer:
cross multiplication would be the quickest technique that works to visualize this set of questions..
if [tex]\frac{a}{b} = \frac{c}{d}[/tex] then ad = bc
each item that does not have a denominator add a "1" as the denominator
so first item... [tex]\frac{sin(50)}{1} = \frac{x}{4}[/tex]
[tex]\frac{4 * sin(50) }{1} = x[/tex] x = [tex]4\sin \left(50^{\circ \:}\right)=3.06417\dots[/tex]
#b) [tex]3\tan \left(81^{\circ \:}\right)=18.94125[/tex]
#c) [tex]6\cos \left(33^{\circ \:}\right)=5.03202[/tex]
.
.
#g)[tex]7.1\tan \left(18.4^{\circ \:}\right)=2.36185[/tex]
Step-by-step explanation:
Answer:
First we extract the sin or the tan according to the question and multiply the number with the denominator and extract the x .
a)[tex] \sin(50) = \frac{x}{4} \\ 0.766 = \frac{x}{4} \\ x = 3.06[/tex]
b)[tex] \tan(81) = \frac{x}{3} \\ 6.31 = \frac{x}{3} \\ x = 18.93[/tex]
C)[tex] \cos(33) = \frac{x}{6} \\ 0.83 = \frac{x}{6} \\ x = 0.83 \times 6 \\ x = 4.98[/tex]
d)[tex] \cos(75 ) = \frac{x}{3.5} \\ 0.258 = \frac{x}{3.5} \\ x = 0.2588 \times 3.5 \\ x = 0.90[/tex]
e)[tex] \sin(24) = \frac{x}{4.2} \\ 0.406 = \frac{x}{4.2} \\ x = 0.406 \times 4.2 \\ x = 1.70 [/tex]
f)[tex] \tan(42) = \frac{x}{10} \\ 0.9 = \frac{x}{10} \\ x = 9[/tex]
g)[tex] \frac{x}{7.1} = \tan(18.4) \\ \frac{x}{7.1} = 0.33 \\ x = 0.33 \times 7.1 \\ x = 2.34[/tex]
h)[tex] \frac{x}{5.3} = \sin(64.7) \\ \frac{x}{5.3} = 0.9 \\ x = 4.77[/tex]
i)[tex] \frac{x}{12.6} = \cos(52.9) \\ \frac{x}{12.6} = 0.6 \\ x = 0.6 \times 12.6 \\ x = 7.56[/tex]
I hope I helped you^_^
Related Questions
2.
Lucy shares 42 marbles between her and her 6 friends. How many does each child?
Answers
6 marbles
For what value of k does the equation (2k+1)x^2+2x=10x-6 have two real and equal roots?
Answers
Answer:
[tex]\displaystyle k = \frac{5}{6}[/tex]
Step-by-step explanation:
We are given the equation:
[tex]\displaystyle (2k+1)x^2 + 2x = 10x - 6[/tex]
And we want to find the value of k such that the equation has two real and equivalent roots.
Since the equation is a quadartic, we can find its discriminant (symbolized by Δ). Recall that:
If Δ < 0, we have no real roots (two complex roots). If Δ > 0, we have two real roots. And if Δ = 0, we have one real root, or two equivalent ones.First, rewrite our equation:
[tex](2k+1)x^2 -8x + 6 =0[/tex]
The discriminant is given by:
[tex]\displaystyle \Delta = b^2 -4ac[/tex]
In this case, b = -8, a = (2k + 1), and c = 6.
Therefore, the discriminant is given by:
[tex]\displaystyle \Delta = (-8)^2 - 4(2k+1)(6)[/tex]
For it to have two equal roots, the discriminant must be zero. Hence:
[tex]\displaystyle 0 = (-8)^2 - 4(2k+1)(6)[/tex]
Solve for k:
[tex]\displaystyle \begin{aligned} \displaystyle 0 &= (-8)^2 - 4(2k+1)(6) \\ 0 &= 64 - 48k - 24 \\ 0 &= 40 - 48k \\ -40 &= -48k \\ \\ k &= \frac{5}{6} \end{aligned}[/tex]
Hence, the value of k is 5/6.
find the center of a circle with the equation: x^2+y^2-32x-60y+1122=0
A. (24, 30)
B. (13, 20)
C. (14, 28)
D. (16, 30)
Answers
Answer:
-32x-60y+1122=0
-(32x+60y-1122)=0
32x+60y-1122=0
by factorize
Answer:
24,30
Step-by-step explanation:
I’m having a lot of trouble, can someone guide me, step by step?
Answers
Answer:
Hi hopefully this helps you!
Step-by-step explanation:
To find the area of a circle you can use the formula A = πr^2
The radius of a circle is just the diameter divided by 2. In this case we know the diameter is 3, so the radius is 1.5
A = π(1.5)^2
= 7.07
Because this is a semicircle, divide this area by 2
= 3.53429 in^2
Add up the area of this semi circle with the area of the rectangle
A = (3.53429) + (3x4)
= 15.53429 in^2
To find the circumference/ perimeter of a circle use this formula C = 2πR
C = 2π(1.5)
= 9.42478 inches
Again because this is a semicircle, divide by 2
= 9.42478 / 2
= 4.71239 inches
To find the perimeter of this entire shape add up the circumference of the semicircle and the rectangle's sides and bottom
P = 4.71239 + 4 + 4 + 3
= 15.71239 inches
So the final answer would be
A = 15.53 squared inches
P = 15.71 inches
Hope this helps! Best of luck in your studies <3
What is the completely factored form of the expression 16x2 + 8x + 32?
4(4x2 + 2x + 8)
4(12x2 + 4x + 28)
8(2x2 + x + 4)
8x(8x2 + x + 24)
(IM ON EDGE)
Answers
A is the answer to your question
To solve this, just distribute the 4 to each of the coefficient and see if it would result in the same coefficients in the original expression
If there is an x find the value of it if not explain what needs to be given
Answers
Answer:
x value is 7
the answer is 7
Arrange the terms of each polynomial so that the powers of X are in descending order. Please help
Answers
Answer:
you use the FOIL method
Step-by-step explanation:
First
Inner
Outer
Last
you just distribute the numbers to all of the others then simplify.
ex.
(x+4)^2
(x+4)(x+4)
x^2+4x+4x+16
x^2+8x+16
in this, x times x is x^2. then x times 4 is 4x and 4 times x is 4x and 4 times 4 is 16. then combine like terms
answer choices:
A. 32%
B. 46%
C. 24%
D. 11%
Answers
Which is a y-intercept of the continuous function in the
table?
х
-2.
-1
0
1
2.
3
f(x)
15
10
5
0
-5
-10
O (5,0)
O (0, 1)
O (0,5)
O (1,0)
Answers
Answer:
(0,5) --> 5 is the y intercept
Step-by-step explanation:
Give 6 x,y pairs you look for the pair with x=0 to find the y intercept,
SO that would be the 3rd set or (0,5)
The y-intercept of the function is A = ( 0 , 5 )
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as A
Now , the value of A is
Now , the x values of the function are
x = { -2 , -1 , 0 , 1 , 2 , 3 }
And , the y values of the function are
y = { 15 , 10 , 5 , 0 , -5 , -10 }
And , the y intercept of the function is when the value of x = 0
So , when x = 0
y = 5
Hence , the y-intercept is ( 0 , 5 )
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One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the
third angle is 10 degrees more than that of the smallest angle. Find the measure of the LARGEST angle.
Answers
Answer:
[tex]102\textdegree[/tex]
Step-by-step explanation:
If we let the measure of the smallest angle be [tex]x[/tex], then we know that the measure of the angle that is three times as large as it is [tex]3*x=3x[/tex] and the measure of the angle that is [tex]10\textdegree[/tex] larger than it is [tex]x+10[/tex].
Because the sum of the measures of the interior angles in a triangle is [tex]180\textdegree[/tex], we can write the following equation to solve for [tex]x[/tex]:
[tex]x+3x+x+10=180[/tex]
Solving for [tex]x[/tex], we get:
[tex]x+3x+x+10=180[/tex]
[tex]5x+10=180[/tex] (Combine like terms)
[tex]5x=170[/tex] (Subtract [tex]10[/tex] from both sides of the equation to isolate [tex]x[/tex], Simplify)
[tex]x=34\textdegree[/tex]
Therefore, the measures of the other angles are [tex]3x = 3 * 34=102\textdegree[/tex] and [tex]34+10=44\textdegree[/tex]. Since [tex]102>44>34[/tex], the measure of the largest angle will be [tex]\bf102\textdegree[/tex]. Hope this helps!
I need help ASAP!!! PLEASE EXPLAIN ANSWER
Answers
Answer:
351.9
Step-by-step explanation:
Surface Area of cylinder = 2πrh+2πr^2
2π(4)(10) + 2π(4)^2
= 351.9
answered by g a u t h m a t h
1. 42.78 + 19.56
2. 0.0997 + 1.4
3. $62.74 + $1.75 + $12
4. 40.75 – 17. 46
5. 0.95 – 0.68
6. $60 - $31.74
7. 5.4 x 0.07
8. 5.9 x 1.2
9. 0.24 ÷ 0.8
10. 6.56 ÷ 4
Answers
1. - 62.34
2. - 1.4997
3. - $76.49
4. - 23.29
5. - 0.27
6. - $28.26
7. - 0.378
8. - 7.08
9. - 0.3
10. - 1.64
Answer:
1. 62.34
2. 1.4997
3. $76.49
4. 23.29
5. 0.27
6. $28.26
7. 0.378
8. 7.08
9. 0.3
10. 1.64
!!!HELP MEEEE!!! ILL GIVE U BRAINLIEST
Question; a = 2, b = -4, c = 7, and d = -3
Evaluate c + d[(ac + b)/(d-a)] + c
Answers
Answer:
7+(-3)[(14-4)/(-5)]+7
7+3[2]+7
7+6+7
20
One of the legs of a right triangle measures 9 cm and the other leg measures 16 cm.
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
-
Answers
Answer:
18.4 cm
Step-by-step explanation:
Using Pythagoras rule:
Hypotenuse =
[tex] \sqrt{9 ^{2} + 16 ^{2} } [/tex]
= 18.4 cm
Graph the relation shown in the table. Is the relation a function? Why or why not?
Answers
Answer:
Not a function fails the vertical line test
Step-by-step explanation:
This is not a function. The value of x = -1 goes to two different values of y
This would fail the vertical line test
Answer:
the first one
Step-by-step explanation:
use the vertical line test. the horizontal line would intersect at two points.
Estimate the correlation coefficient that would best describe the data below.
0.4
-0.4
0.9
-0.9
Answers
Answer:
Step-by-step explanation:
Draw a line through the data points with about half of the points on one side of the line and the other half on the other side. You'll see that there is a slight positive rise in the graph as we move from left to right, but the correlation is weak. Thus, 0.4 is the correct correlation coefficient in this case.
The correlation coefficient that would best describe the data give in the table is 0.4 which is a weak positive correlation.
CorrelationWhat is correlation?The statistical concept of correlation describes how closely two variables move in tandem with one another.
Types of correlation:(1) Positive correlation:The two variables are considered to have a positive correlation if they move in the same direction.When there is a complete positive correlation, the correlation coefficient is 1.(2) Negative correlation:We say there is a negative correlation between the variables when the 'y' variable tends to decrease as the 'x' variable increases.(3) No correlation:We claim there is no correlation between the two variables when there is no obvious connection between them.Description for the graph:As the graph is scattered in such a way that,if we draw a line from the centre, we can observe that as 'x' increases 'y' also increases so the relation is positive correlation.
But it is seen in the graph that these points are scattered, so this relation is weak. For positive weak correlation the value should be less than 0.5.
Therefore, the given graph shows positive weak correlation with value 0.4.
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A school has a square courtyard and wants to create diagonal walkways. The length of each side
of the courtyard is 36 yards. Approximately how long is each walkway?
Answers
Answer:
51 Yards
Step-by-step explanation:
Each side is 36 yards. split the square in half(corner to corner) making two right triangle use the pythagorean theorem ([tex]A^{2}[/tex] + [tex]B^{2}[/tex] =[tex]C^{2}[/tex] ) to solve.
[tex]36^{2}[/tex]+[tex]36^{2}[/tex]= [tex]C^{2}[/tex]
1296+1296= 2592
√2592= 50.911
50.911 rounds up to 51
The length of each walkway would be,
⇒ 51 yards
What is Pythagoras theorem?The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
We have to given that;
A school has a square courtyard and wants to create diagonal walkways.
Here, The length of each side of the courtyard is 36 yards.
Now, The length of each walkway would be,
⇒ √ 36² + 36²
⇒ √ 1296 + 1296
⇒ √ 2592
⇒ 50.91
⇒ 51 yards
Thus, The length of each walkway would be,
⇒ 51 yards
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Geometry, please answer question ASAP
Answers
Answer:
m∠C = 108°
Step-by-step explanation:
The sum of the interior angles of a pentagon is 540°. Divide this sum by the number of angles to find the degrees of each one:
540/5 = 108
Answer:
A) 108 degrees
Step-by-step explanation:
regular pentagon means all the inside angles of the pentagon are the same
to find the inside angles of any polygon you can use the formula:
180(n-2)/n=a
where n is number of sides
a is the measure of one of its interior angles
pentagon has 5 sides
= 180((5)-2)/5
=180(3)/5
=540/5
=108
each angle of the regular pentagon is 108 degrees
measure of angle C is 108
write a function G whose graph represents a vertical stretch by a factor of two followed by a translation one unit up of
f (x) = x
Answers
G(x)=2x+1 , vertical stretch by 2 units and shifted 1 unit up
Given :
Original function f(x)=x
To find :
Function G whose graph is a vertical stretch by 2 and move one unit up
We use the given function to for vertical stretch and shifting up
for Vertical stretch multiply the factor by f(x)
f(x) becomes 2f(x)
so the function becomes 2x
[tex]f(x)=2f(x)=2x\\[/tex]
For moving up , we need to add the units at the end of the function
f(x)+1
2x+1
Hence, G(x)=2x+1
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HELP ME PLS ASAP !!!!!!!!!!!!!
Answers
Answer:
_
-58
Step-by-step explanation:
Im pretty sure hope it helps
Steve works two different jobs for a total of 60 hours every Monday through Friday schedule is the same each day and he works three hours a day at his first job how many hours a day does he work at his second job
Answers
Answer:
Step-by-step explanation:
Steve works:
- 60 hour per week = 12 hours per day (60/5)
- first job: 3 hours per day = 15 hours per week
- x = second job hours per day
equitation:
1st option to calculate:
12 (total hours per day) = 3 (hours per day on first job) + X
9 = X
2nd option to calculate:
60(total hours per week) = 15 (3 hours per day x 5) + x
45 = x
you need to divide 45 / 5 to get the daily hours which is 9
5. Simplify: 2/5 +3/7+(-6/5)+ (-13/7)
Answers
Answer: -78 / 35
Step-by-step explanation:
Given
2/5 + 3/7 + (-6/5) + (-13/7)
Combine terms that have the same denominator
= 2/5 + (-6/5) + 3/7 + (-13/7)
= -4/5 - 10/7
Convert denominator by Least Common Multiple (LCM)
= (-4 × 7) / (5 × 7) - (10 × 5) / (7 × 5)
= -28/35 - 50/35
= -78 / 35
Hope this helps!! :)
Please let me know if you have any questions
Answer:
[tex] \frac{2}{5} + \frac{3}{7} + ( - \frac{6}{5} ) + ( - \frac{13}{7} ) \\ \frac{2}{5} + \frac{3}{7} - \frac{6}{5} - \frac{13}{7} \\ ( \frac{2}{5} - \frac{6}{5} ) + ( \frac{3}{7} - \frac{13}{7} ) \\ \frac{2 - 6}{5} + \frac{3 - 13}{7} \\ \frac{ - 4}{5} + \frac{ - 10}{7} \\ \frac{ - 4}{5} - \frac{10}{7} \\ \frac{ - 28 - 50}{35} \\ \frac{ - 78}{35} \\ - \frac{78}{35} [/tex]
find the volume of a cylinder if the radius is 8cm and the height is 15cm?
Answers
Answer:
3015.92894745 cm^3
Step-by-step explanation:
Formula for volume of cylinder(v)= πr^2h
Here,
r=8 cm
h=15cm
Now,
V=πr^2h=π8^2*15=π64*15=960π=3015.92894745 cm^3
[tex]2\pir = 1828 + 49 = [/tex]Hey Shona playing how much town
Write an algebraic expression for each verbal expression. 1.One third of a number is twelve less than the number itself 2. Two times the sum of a number and five is twenty
Answers
Answer:
1. ⅓*m = m - 12
2. 2(a + 5) = 20
Step-by-step explanation:
1. Let the number be represented by m
Let one-third of the number m, be ⅓*m
If there is 12 less of an amount of something, it implies 12 is to be subtracted from the initial amount.
Thus, 12 less than the number, m is (m - 12)
》⅓*m = m - 12
2. Let the number be represented by a
The sum of the number and 5 is (a+5)
》2(a+5) = 20
Someone help plsssss
Answers
hdndnndndndndnndndndndnbd
Answers
Answer:
Hshushahhahaa
Hdhddjkddjdkjd
please help me is for my homework
Answers
Answer:
50%
Step-by-step explanation:
so 1 half is colored in so 1/2 is also 50%
Answer:
it's 50% because it's half the circle
find the volume of each figure. Round to the nearest tenth if necessary.
Answers
Answer:
396
Step-by-step explanation:
the volume of a rectangular is calculated as V=l×w×h
l=11, w=12, h=3
V=11×12×3
V= 396
An adult blue whale can eat 4.0 x 107 krill in a
day. At that rate, how many krill can an adult
blue whale eat in 1.45 x 102 days?
Answers
What is the value of x in the figure below? In this diagram, ABD ~ CAD.
A. 16/5
B. 16
C. √160
D. √5
E. 8
F. 25/4
Answers
Answer:
F an amazing result.
Step-by-step explanation:
I'm sure I didn't do this the way it was intended, but I think I got it right.
First of all, we have to agree that CAB is marked as a right angle. If you do not agree, leave a note.
Step One
Find the length of AC
BC = 16
AB = 10
AC^2 = BC^2 - AB^2
AC^2 = 16^2 - 10^2
AC^2 = 256 - 100
AC^2 = 156
AC = SQRT(156)
AC = SQRT(4*13 * 3)
AC = 2 SQRT(13)
Step Two
Find the height (AD)
There are two ways to find the area of the large triangle ABC
Area = 1/2 * 16 * AD and
Area = 1/2 AC * 10 The two legs.
Since these areas must be equal, equate them. You are looking for AD
16 * AD = 2*sqrt(39) * 10 Divide by 16
AD = 20* sqrt(39)/16
AD = 5 * sqrt(39) / 4
Step 3
Find x or DB
DB^2 = 10^2 - [(5 *sqrt(39)/4]^2
DB^2 = 100 - 25*39/16
DB^2 = 100 - 60.9375
DB^2 = 39.0625
DB = SQRT(39.0625)
DB = 6 1/4
6 1/4 is the same thing as 25/6 which is F
Answer:
F. 25/4
Step-by-step explanation:
just took the quiz
