Please help!
Please explain your answer because I need to learn this!
Find the measure of angle theta.
Answers
Answer:
48.2
Step-by-step explanation:
We have a right angle so we can do our three trig ratios,
Sine Cosine Tangent
Remeber SOHCAHTOA.
We are given some angle theta, and we are given a side adjacent to the angle and the hypotenuse. We are going to use the cosine rule.
[tex] \cos(theta) = \frac{36}{54} [/tex]
[tex] \cos(theta) = \frac{2}{3} [/tex]
Take the inverse of both sides
[tex] \cos {}^{ - 1} ( \frac{2}{3} ) = x[/tex]
Theta is equal to
[tex]48.2[/tex]
Related Questions
C. Find the equation of the line perpendicular to
y = 14x-5 and passing through (2,-3).
Answers
Answer:
[tex]y = -4x + 5[/tex]
Step-by-step explanation:
We want to find the equation of the line that is perpendicular to:
[tex]\displaystyle y = \frac{1}{4} x - 5[/tex]
And which passes through the point (2, -3).
Recall that the slopes of perpendicular lines are negative reciprocals of each other.
In other words, since the slope of the original line is 1/4, the slope of the perpendicular line will be -4.
We are also given that it passes through the point (2, -3). Hence, we can consider using the point-slope form:
[tex]\displaystyle y - y_1 = m(x- x_1)[/tex]
Substitute:
[tex]\displaystyle y - (-3) = -4 (x - (2))[/tex]
Simplify:
[tex]y + 3 = -4(x - 2)[/tex][tex]y = -4x + 5[/tex]
Distribute:
[tex]y + 3 = -4x +8[/tex]
And subtract:
[tex]y = -4x + 5[/tex]
In conclusion, our equation is:
[tex]y = -4x + 5[/tex]
factorise
[tex]4p {}^{3} q + 12p {}^{2} q {}^{2} + 8pq {}^{3} [/tex]
Answers
[tex]4 {p}^{3} q + 12 {p}^{2} {q}^{2} + 8p {q}^{3} \\ = 4pq(p + q)(p + 2q)[/tex]
I hope I helped you^_^
Combine the like terms to create an equivalent expression for −5j+(−2j)+3
Answers
Answer:
-7j + 3
Step-by-step explanation:
Combine like terms:
-5j + (-2j) = -7j
-7j + 3
Answer and Step-by-step explanation:
Simply combine the values together.
-5j - 2j + 3
-7j + 3 is the answer.
#teamtrees #PAW (Plant And Water)
I hope this helps!
PLS HELP ASAP GIVE ANSWER RQ
Add 5 to x, double what you have, then subtract 3 from the result and simplify the expression.
a.2x + 10
b.2x + 7
c.x + 7
d.2x – 7
Answers
b. 2x+7
work shown
jskaoqlqmsbdnsoqqk
[tex] \sqrt{5} \times \sqrt{15} \times \sqrt{3} [/tex]
Answers
Answer:
[tex] \sqrt{5} \times \sqrt{15} \times \sqrt{3} \\ \\ \sqrt{5 \times 15 \times 3} \\ \\ = 5 \times 3 \\ \\ = 15[/tex]
[tex]\\ \rm\longmapsto \sqrt{5}\times \sqrt{15}\times \sqrt{3}[/tex]
[tex]\\ \rm\longmapsto \sqrt{5\times 15\times 3}[/tex]
[tex]\\ \rm\longmapsto \sqrt{5\times 5\times 3\times 3}[/tex]
[tex]\\ \rm\longmapsto 5(3)[/tex]
[tex]\\ \rm\longmapsto 15[/tex]
A commodity was sold for 120.00 at a 20% loss on the cost. What is the price of the merchandise?
Answers
Answer:
$150
Step-by-step explanation:
CP = 100/(100 - L%) × SP
CP = 100/(100 - 20) × 120
CP = 100/80 × 120
CP = 5/4 × 120
CP = 5 × 30
CP = $150
How would I prove the congruency of these triangles?
Answers
Step-by-step explanation:
the radius cuts the segment into two equal parts because it is perpendicular to the chord
Answer:
Step-by-step explanation:
As O is the mid point of the circle
Similarly, B also becomes the mid point of the line AC.
So, line OB divides AB and BC equally.
Hence, lines AB = AC, but they are asking to prove congruency of triangles.
So, u have to join OA and OC.
Same way, line OB divides ∠OBA and ∠OBC.
So it is proved that AB = AC
The area of the square is 64 ft? What are the side lengths?
4
4 ft, 16 ft 4 ft, 16 ft
B)
16 ft, 16 ft, 16 ft, 16 ft
C)
8 ft. 8 ft, 8 ft. 8 ft
D)
4 ft. 4 ft 4 ft. 4ft
Answers
Answer:
C
Step-by-step explanation:
the square root of 64 is 8ft
Multiply and simplify completely:
(3x + 5) (2x2 – 3x + 2)
Show all work for full credit.
Answers
Answer:
[tex](3x + 5)(2 {x}^{2} - 3x + 2) \\ \\ (3x)(2 {x}^{2} - 3x + 2) + (5)(2 {x}^{2} - 3x + 2) \\ \\ 6 {x}^{3} - 9 {x}^{2} + 6x + 10 {x}^{2} - 15x + 10 \\ \\ = 6 {x}^{3} + {x}^{2} - 9x + 10[/tex]
I hope I helped you^_^
Answer:
[tex]6x^3+x^2-9x+10[/tex]
Step-by-step explanation:
[tex](3x+5)(2x^2 - 3x+2)[/tex]
Distribute
[tex]3x(2x^2-3x+2)+5(2x^2-3x+2)[/tex]
Distribute
[tex]6x^3-9x^2+6x+5(2x^2-3x+2)[/tex]
Distribute again
[tex]6x^3-9x^2+6x+10x^2-15x+10[/tex]
Combine like terms
[tex]6x^3+1x^2+6x-15x+10[/tex]
Multiply by 1
[tex]6x^3+x^2+6x-15x+10[/tex]
Combine like terms
[tex]6x^3+x^2-9x+10[/tex]
Mr. Hayes has 111 straw bundles to use for bedding in his horse stalls.What is the greatest number of stalls he can fill if each stall holds exactly 4 bundles of straw?
Answers
However, you can’t technically have a .75 of a stall, so you round down to the nearest whole number, which is 27.
Pringle's variety pack 18 cups for $6.48 cost per cup
Answers
Answer:
0.36
Step-by-step explanation:
WILL MARK BRAINLIEST: In a car park, 2/3 of the cars are red.
1/5 of the cars are blue.
What fraction of the cars are red or blue?
Answers
Answer:
13/15
Step-by-step explanation:
Answer:13/15
Step-by-step explanation:
36. A function g is described below
.
g(x) = (x - 3)2 + 1
• The domain of g is all real numbers greater than 0.
The range of g is all real numbers greater than
or equal to -
F. 1
H. -3
G. 3
J. 10
Answers
Answer: F
Step-by-step explanation:
A square is always positive:
[tex](x-3)^2 \geq 0\\\\g(x)=(x-3)^2+1 \geq 1\\\\answer\ F\\[/tex]
Answer:
F.
Step-by-step explanation:
The expression (x - 3)^2 is always >= 0.
The minimum value of g occurs when x = 3 :- that is (3-3)^2 + 1 = 1.
The range of g(x) is all real numbers >= 1.
please help me please.
Answers
Step-by-step explanation:
For every clockwise 90-degree rotation on a point (x, y), the resulted transformation will be (y, -x).
Now, counterclockwise 270 degree rotation is equivalent to clockwise 90 degree rotation. Then, for instance, point H=(2 ,-1) will be transformed into the image H'=( -1,2)
4r + 13 = -15 -3r
i dont know how to do this and its due at 4
Answers
Answer:
r = -4
Step-by-step explanation:
4r + 13 = -15 -3r
7r = -28
r = -28/7
r = -4
Answer:
r = -4
Step-by-step explanation:
4r + 13 = -15 -3r
Add 3r to each side
4r + 13+3r = -15 -3r+3r
7r +13 = -15
Subtract 13 from each side
7r+13-13 = -15-13
7r = -28
Divide each side by 7
7r/7 = -28/7
r = -4
Which of the following properties is this?
8x/3 • 3/8x = 1
Answers
Answer:
Multiplication
Step-by-step explanation:
Multiplication
Pls help me i’ll really appreciate it!!
Answers
this is loki ez
but just go in order
What are the coordinates of the point on the directed line segment from (-10, -3)
to (10,7) that partitions the segment into a ratio of 3 to 2?
Answers
Answer:
p(x,y)= (2,3)
Step-by-step explanation:
i have used partition formula in the pic below. If there is any question you can ask me in comment.
2= 2.27- m/4
How do I do this?! I need this for mathematics homework!
Answers
Answer:
1.08 = m
Step-by-step explanation:
2= 2.27- m/4
Subtract 2.27 from each side
2-2.27= 2.27-2.27- m/4
-.27 = -m/4
Multiply each side by -4
-.27 * -4 = -m/4 *-4
1.08 = m
Cuantos gramos de grasas saturadas hay en 100 g de leche entera en polvo?
Answers
Answer: Well 100g is 100 grams so 100 grams?
Step-by-step explanation:
4.
Evaluate the expression below if
Y = -1 and y-3
3x-y
Answers
Answer:
• If y= -1 and x= -3-8• If y= -3 and x= -1-1Step-by-step explanation:
If you mean: Let y= -1 and x= -33x - y = ?3(-3) - (-1) = ?-9 - (-1) = ?-8If you mean:Let y= -3 and x= -13x - y = ?3(-1) - (-3) = ?-4 - (-3) = ?-1[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Find the slope of a line that contains the two points. (-2, 8) and (1, 2)?
Answers
Answer:
The slope is -2
Step-by-step explanation:
(-2, 8) and (1, 2)
Slope formula:
m= (y2-y1)/(x2-x1)
Work:
m= (2 - 8)/(1 + 2)
m= (-6)/3
m = -2
Use your birthday month and day only, and find the sum and the product and the difference, and quotient.
month is 3 and day is 11
Answers
Answer:
sum 14, difference -8, product 33, quotient 3/11
Step-by-step explanation:
Sum: add
3 + 11 = 14
Difference: subtract
3 - 11 = -8
Product: multiply
3 * 11 = 33
and quotient: divide
3 / 11
(we can leave it like this as a fraction)
(PLEASE ANSWER ASAP I JUST NEED TO KNOW IF I GOT THIS ONE CORRECT PLEASE EXPLAIN ALSO)
Answers
Hey there! I'm happy to help!
We have $100.75 to spend.
Each spool costs $3, and we have 24 spools.
3×24=72
Each glue costs $1 and we have 7 packages of glue.
7×1=7
We add up these expenses.
72+7=79
And we subtract from our total amount.
100.75-79=21.75
So, Joanna has $21.75 left after buying these things.
Have a wonderful day and keep on learning! :D
Answer:
21.75
total money she has is 100.75
1 spool of ribbon $3
she buys 24 spools = 24X3
$72
1 glue cost $1
so 7 package glue cost =7X1= $7
money that he left is equals to 100.75- 79
=21.75
What is the difference between the sum of 1/2 and 10 and the product of 1/2 and 10?
Answers
1 1/2 x 10 =5 and 1/2 + 10 = 10.5
10.5-5=5.5
the answer is 5.5
Is 16g + 10 - 4g and 20g + 10 equivalent
Answers
Which one of the following
lists correctly places these
rational numbers in order from
least to greatest?
-1.20, -1/5 -174-17g. -1.30
Answers
in order from least to greatest
-174-17g
-1.30
-1.20
-1/5
how to solve this things
Answers
Answer:
8/5
Step-by-step explanation:
...................
smg membantu, mff kl slh
PLEASE HELP ME IM RUNNING LOW ON TIME
Answers
Answer:
[tex]1)x = 8 \\ x + y + 2 = 8 + y + 2 = 10 + y \\ 2)x = 9 \\ x + y + 2 = 9 + y + 8 = 17 + y \\ 3)y = 3 \\ x + y + 2 = x + 3 + 2 = x + 5 \\ 4) y = 0 \\ x + y + 2 = x + 0 + 2 = x + 2 \\ 5)x = 6 \: y = 2 \\ x + y + 2 = 6 + 2 + 2 + = 10 \\ thank \: you[/tex]
93. Let f(x) = 3x - 1 and g(x) = x + 5. Evaluate the following limits. (a) lim x→3 f(g(x)]
(b) lim x→3 g[f(x)]
Answers
Answer:
a) 23 and b) 13
Step-by-step explanation:
I. If f(g(x)) is composit function
Find fog and gof
fog = 3(g) - 1
= 3(x+5) -1
= 3x + 15 -1
= 3x + 14
gof = (f) + 5
= (3x - 1) +5
= 3x + 4
II. Fill in a) and b) question
lim x -> 3 fog
= 3(x) + 14
= 3(3) + 14
= 9 + 14
a) = 23
lim x-> 3 gof
= 3x + 4
= 3(3) + 4
= 9 + 4
b) = 13
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