Answer:
It should be B
Step-by-step explanation:
2 2 -1 2 - -3 2 (2+-1)
1. Always do what's in parentheses
so we know that 1 is a negative and 2 is bigger than that number so you would just subtract normally.
2 2 -1 2 - -3 2 -1
Then get all exponents done.
4 -1 - 9-1
3-9-1
-6-1
Which should give u -5
Prove that cos⁻¹ (12/13) + sin⁻¹ (3/5) = sin⁻¹ (56/65)
Answer:
See below ↓
Step-by-step explanation:
We need to prove :
⇒ cos⁻¹ [tex]\frac{12}{13}[/tex] + sin⁻¹ [tex]\frac{3}{5}[/tex] = tan⁻¹ [tex]\frac{56}{65}[/tex]
Let's simplify the LHS.
cos⁻¹ [tex]\frac{12}{13}[/tex] + sin⁻¹ [tex]\frac{3}{5}[/tex]Convert the inverse cos and sin functions into inverse tan functions
tan⁻¹ [tex]\frac{5}{12}[/tex] + tan⁻¹ [tex]\frac{3}{4}[/tex][∴This can be found taking a right triangle and labeling the sides, and then using Pythagorean Theorem, we can find the missing side and take the ratio of tan]Identity
tan⁻¹ x + tan⁻¹ y = tan⁻¹ [tex]\frac{x+y}{1-xy}[/tex]Using this identity, we can simplify our earlier equation!
⇒ tan⁻¹ [(5/12 + 3/4)/(1 - (5/12 x 3/4))]
⇒ tan⁻¹ [(20 + 36) / (48 - 15)
⇒ tan⁻¹ (56/65)
⇒ RHS
⇒ Proved ∴√
[tex]\text{L.H.S}\\\\=\cos^{-1} \dfrac{12}{13} + \sin^{-1} \dfrac 35\\\\=\sin^{-1} \dfrac 5{13} + \sin^{-1} \dfrac 35\\\\[/tex]
[tex]=\sin^{-1}\left[\dfrac 5{13}\sqrt{1- \left(\dfrac 35 \right)^2} + \dfrac 35\sqrt{1-\left(\dfrac 5{13} \right)^2} \right]\\\\=\sin^{-1} \left(\dfrac 5{13} \sqrt{1-\dfrac 9{25} }+\dfrac 35 \sqrt{1-\dfrac{25}{169}} \right)\\\\=\sin^{-1} \left(\dfrac 5{13} \sqrt{\dfrac{16}{25}}+\dfrac 35 \sqrt{\dfrac{144}{169}} \right)\\\\=\sin^{-1} \left(\dfrac{5}{13} \cdot \dfrac 45 + \dfrac 35 \cdot \dfrac{12}{13} \right)\\[/tex]
[tex]=\sin^{-1} \left(\dfrac 4{13} +\dfrac{36}{65}\right)\\\\=\sin^{-1} \left(\dfrac{20}{65} + \dfrac{36}{65} \right)\\\\=\sin^{-1} \left(\dfrac{20+36}{65} \right)\\\\=\sin^{-1} \left(\dfrac{56}{65} \right)\\\\=\text{R.H.S}[/tex]
The perimeter of the figure is 90ft. What is the area.
Additional knowledge: figure is a semi circle, use 3.14 or 22/7 as pi to solve
Answer:
1289.8089172
Step-by-step explanation:
if you do 90 x 2 = 180 you get the circumference of what would be the complete circle, the formula for area with circumference is A = (C^2/4x3.14) so inserting 180, the answer is 2579.61783439, and half of that is a semi circle so 2579.61783439/2 = 1289.8089172
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
What value of p makes the equation true?
Answer:
1/8
Step-by-step explanation:
●●○•°°°□□●○○○○○••••
Simplify (3×2-2) + (5×2+5×-1)
[tex]\bf \colorbox{black} {\bf {\textcolor{blue}{ }{ \bf { \textcolor{orange}{ }{ \bf{ \textcolor{cyan}{mathematics = }}}}}}}[/tex]
(3×2-2)+(5×2+5×-1)=
(6-2)+(10-5)=
4+5=
[tex] \bf \textcolor{green}{ \underbrace{9}}[/tex]
xLasersx✨[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's simplify ~
[tex]\qquad \sf \dashrightarrow \:(3 \times 2 - 2) + (5 \times 2 + 5 \times ( - 1))[/tex]
Use BODMAS/PEDMAS rule here :
[tex]\qquad \sf \dashrightarrow \:(6- 2) + (10 + ( - 5))[/tex]
[tex]\qquad \sf \dashrightarrow \:4 + (10 - 5)[/tex]
[tex]\qquad \sf \dashrightarrow \:4 + 5[/tex]
[tex]\qquad \sf \dashrightarrow \:9[/tex]
Hope it helps you ~
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
PLEASE HELP ASAP 20 POINTS
Answer:
1. 200
2. 50
Step-by-step explanation:
1. you put 10 over 5 as a proportion with x over 100 on the other side
2. you put 5 over 10 as a proportion with x over 100 on the other side
Maryam had to sail 4 2⁄3 miles to reach her destination. At the end of the day, she had sailed 3 1⁄3 miles. How far was she from her destination?
1 1⁄3
Step-by-step explanation:
In order to find how far was she from her destination
We substract 4 2⁄3 from 3 1⁄3
=> 4 2⁄3 - 3 1⁄3
=> 1 1⁄3 (Decimal: 1.333333)
Answer:
1 1/3 miles
Step-by-step explanation:
2-1
4 2/3-3 1/3= 1-----------
3
=1 1/3miles
I will give you brainlyest and give you points
Answer:
VOL_cone is 70.7
which is LESS THAN
the vol of cylinder. VOL_cyl is 71.6
Step-by-step explanation:
Volume of a cone:
V= (1/3)pi•r^2 • h
=(1/3)pi•3^2 • 7.5
= 70.7 cubic inches
(rounded to tenths this is the same if you use a pi key on the calculator or if you use 3.14)
The Volume of a cylinder:
V = pi•r^2 • h
= pi• 2.25^2 • 4.5
= 71.6 cubic inches
(more accurate with pi key, using 3.14 it rounds to 71.5)
The last blank could be the words "less than" but if they are asking for a fraction or percent, calculate by putting the big number on the bottom and the smaller number on top.
What is the slope of the line that passes through the points (−2,−4) and)(3,−9)? Write your answer in simplest form.
Answer:
The slope is -1
Step-by-step explanation:
Formula for finding slope: [tex]\frac{rise}{run} = \frac{y2 - y1}{x2-x1}[/tex]
we got the points:
(−2,−4) and)(3,−9)
let's plug them in.
[-9-(-4)] / [3-(-2)] =
-5 / 5 = -1
HELP ME PLEASE. THIS IS MY LAST QUESTION THEN I CAN GO TO BED.
Answer:
100.
Step-by-step explanation:
The 2 smaller triangles are similar, so:
48 / (x - 64) = 64 / 48
64(x - 64) = 48^2
x - 64 = 48^2/64
x = 48^2/64 + 64
= 100.
Lee says 20% is more than 70% of 70% of 20. Is lee correct?
Answer:
yes
Step-by-step explanation:
75/100×75/100=49/100
49/100×20=8.58.5 % Is more than 20%
What is the solution to the linear equation? –12 3b – 1 = –5 – b b = –2 b = –1.5 b = 1.5 b = 2
The solution of the linear system is given by using an arithmetic operation. Then the value of b is 2.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The linear equation is given below.
–12 + 3b – 1 = –5 – b
The value of b will be given as
Add b both sides, we have
–12 + b + 3b – 1 = –5 – b + b
–13 + 4b = –5
Add 13 on both sides, we have
13 – 13 + 4b = – 5 + 13
4b = 8
Divide both sides by 4, we have
b = 2
More about the linear system link is given below.
https://brainly.com/question/20379472
Answer:
The fourth option, 2
Pls help i am extremly stressed with this question
Answer:-7/8>-0.60
C is not true
The mean of 5 numbers is 8.four of the numbers are 7,9,11 and 5.find the fifth number.
Answer:
8
Step-by-step explanation:
One way to solve problems involving the mean of a data set is to consider the way the numbers relate to the mean.
When we subtract the mean from the given numbers, we find the differences are ...
-1, 1, 3, -3
The sum of these differences is 0. The missing number will make the toal of all differences from the mean be zero. Since it is already zero, the missing number is the mean. The missing number is 8.
Find the area of the figure.
Answer:
55 sq meters
Step-by-step explanation:
Area of big triangle 7x5=35/2
but there's two big triangle so 35/2 x 2 =35
area of small triangle 5x4=20/2 10
10 x 2 =20. And then combine 20+35=55
So the area is 55 sq meters.
A cone-shaped lampshade has a height of 18 cm and a slant height of 19.5 cm. Find the lateral surface area of the lampshade.
Check the picture below.
[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{19.5^2-18^2}=r\implies \sqrt{56.25}=r \\\\[-0.35em] ~\dotfill[/tex]
[tex]\textit{lateral area of a cone}\\\\ LA=\pi r\sqrt{r^2+h^2}~~ \begin{cases} r=radius\\ h=height\\ \stackrel{slant~height}{\sqrt{r^2+h^2}}\\[-0.5em] \hrulefill\\ r=\sqrt{56.25} \end{cases}\implies \begin{array}{llll} LA=\pi \sqrt{56.25}\stackrel{slant~height}{(19.5)} \\\\\\ LA\approx 459.46~cm^2 \end{array}[/tex]
What is the measure of
Answer:
since it goes down a certain way and it goes down then B will go the same way as a evil ghost literally down to the phone the top right to the left like see if I just a little bit shorter Jay will go all the way up to age and we will go to k
What is the length of a line segment with endpoints 3, 2, and -3, -4, in
the simplest radical form
[tex] \qquad \qquad \qquad\large\overbrace{\underbrace{\underline{ \boxed{ \sf \:Answer }}}}[/tex]
Let's use distance formula :
[tex]\qquad \sf \dashrightarrow \: \sqrt{(3 - ( - 3)) {}^{2} + (2 - ( - 4) {}^{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{(3 - ( - 3)) {}^{2} + (2 - ( - 4)) {}^{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {6}^{2} + {6}^{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {6}^{2}(1 + 1) } [/tex]
[tex]\qquad \sf \dashrightarrow \: 6\sqrt{ 2 } \: \: units[/tex]
Find the measure of the missing angles. 25 d e f
The following stem-and-leaf plot represents the scores earned by Mr. Wood's class on their most recent science test.
How many of the students scored less than an 85?
10
12
11
9
Answer:
11
Step-by-step explanation:
If you count the total values
it equals 11
Is (-4, -1) a solution to this system of equations?
y = 5/2x + 9
y = 1/2x + 1
Yes or no
Answer:
yes(only if the x is being multiplied to 5/2 and 1/2 respectively. If its a part of the denominator, then no)
Step-by-step explanation:
The length of the hypotenuse in a 45°-45-90 triangle is 7sqrt10 units. One of the legs is 7sqrt5 units. What is the length of the other
leg?
O 7sqrt5units
O 14sqrt5units
O 35 units
0 70 units
Answer:
7[tex]\sqrt{5}[/tex]
Step-by-step explanation:
the legs of a 45°- 45°- 90° triangle are congruent , then
one leg = 7[tex]\sqrt{5}[/tex]
the other leg = 7[tex]\sqrt{5}[/tex]
The chef made 45 pancakes in 6 minutes. How many pancakes did she make in 1 minute?
Answer: 7.5 or 7 1/2
Step-by-step explanation:
Divide 45 divided by 7
You put the name of all the students in your class in a paper bag. There are 14 boys and 16 girls. If
you draw a name at random, what is P(girl's name)?
A: 7/15
B: 8/7
C: 8/15
D: 7/8
PLS no links. Can someone help me with question 2
Answer:
Step-by-step explanation:
take figure a and dilate it bigger by 3 that will mean it is bigger and the shapes will be the same.
NO LINKS PLEASE I NEED ANSWERS
NO LINKS PLEASE
Answer:
10. s = 1.50x
11. s = 28x + 5
Step-by-step explanation:
10. s (money); so multiply x (the amount of pencils) by the price which is 1.50. Which is equal to 112.50.
11. s (money); multiple x (the amount of shoes) by the price, 28, which equals 84. Then add 5 for the shipping. This equals 89.
how long will a 100 litre bath run if the water is running at a rate of 12 litres per minute
What is the solution to h/-24<_18?
Answer:
h ≥ -432
Step-by-step explanation:
h/-24<=18
Multiply though by -24:
h ≥ -24*18
h ≥ -432
Note: the inequality signs flips as we are multiplying both sides by a negative value.
In the spinner above, the section labeled *2* is twice as large as each of the sections labeled “3,” “4,”and “5”; the section labeled "1” Is three times as large as each of the sections labeled "3” “4” and “5”About how many times should Larry expect to land on "1"
A. 100
B. 75
C. 40
D. 25
Thank you!
Answer:
B.75
Step-by-step explanation:
What is the velocity of the plane that travels 3000km in 5 hours?
Answer:
600km/h
546.807 fps
0.1666667 km/s
Step-by-step explanation:
Use which ever unit youd want to in this scenereo, I'd use 600km/h
3000 / 5 = 600
Please help correct answer wins crowns
Answer:
Given equation: x + 2y = 7
Rearrange the given equation to make y the subject:
[tex]\sf x + 2y = 7[/tex]
[tex]\sf \implies 2y=7-x[/tex]
[tex]\sf \implies y = \dfrac12(7-x)[/tex]
Now input the given x-values into the equation to determine the y-values:
[tex]\sf x=-2\implies y = \dfrac12(7-(-2))=4.5[/tex]
[tex]\sf x=-1\implies y = \dfrac12(7-(-1))=4[/tex]
[tex]\sf x=0\implies y = \dfrac12(7-0)=3.5[/tex]
[tex]\sf x=1\implies y = \dfrac12(7-1)=3[/tex]
[tex]\sf x=2\implies y = \dfrac12(7-2)=2.5[/tex]
[tex]\sf x=3\implies y = \dfrac12(7-3)=2[/tex]
As ordered pairs: (-2, 4.5) (-1, 4) (0, 3.5) (1, 3) (2, 2.5) (3, 2)
Plot the endpoints on the graph (-2, 4.5) and (3,2), then connect with a line segment.