Answer: 30 inches (2.5 feet)
Step-by-step explanation:
2 1/2 x 1/3 x 36
If tan(A + B) = √3 and tan(A - B) = 1/√3; 0° < A + B ≤ 90° ; A > B, find A and B.
Pls answer it correctly..
Sol➜
We have, tan(A + B) = √3
⇒ tan(A + B) = tan60°
∴ A + B = 60° -----[i]
Again, tan(A - B) = 1/√3
⇒ tan(A - B) = tan30°
∴ A - B = 30° -----[ii]
Now, Adding [i] and [ii], we get
A + B + A - B = 60° + 30°
2A = 90° ⇒ A = 45°
Putting the value of A in [i], we have
45° + B = 60°
∴ B = 60° - 45° = 15°
Hence, A = 45° and B = 15°.
Answer:
[tex] \displaystyle A = {45}^{ \circ} \\ B = {15}^{ \circ}[/tex]
Step-by-step explanation:
we are given two equation and condition
[tex]\displaystyle \begin{cases}\tan(A+B)=\sqrt{3} \\ \tan(A - B) = \dfrac{1}{ \sqrt{3} } \end{cases}( {0}^{ \circ} < A+B < {90}^{ \circ} ) \: \text{and} \: A > B[/tex]
let's work with first equation
recall unit circle so A and B should be in Q:I
[tex] \displaystyle \: A+B = \arctan( \sqrt{3} )[/tex]
[tex] \displaystyle \: A+B = {60}^{ \circ} \cdots \: \text{I}[/tex]
let's work with second equation:
[tex] \displaystyle \: \tan(A - B) = \frac{1}{ \sqrt{3} } [/tex]
[tex] \displaystyle \: A - B = \arctan(\frac{1}{ \sqrt{3} } )[/tex]
[tex] \displaystyle \: A - B = {30}^{ \circ} \cdots \: \text{II}[/tex]
now let's use elimination method to figure out A and B
to do so combine equation I and II
[tex] \displaystyle \underline{\begin{array}{c c c}A+B = {60}^{ \circ} \\ A - B = {30}^{ \circ} \end{array}} \\ 2A = {90}^{ \circ} [/tex]
divide both sides by 2:
[tex] \displaystyle \: \frac{2 A}{2} = \frac{ {90}^{ \circ} }{2} \\ A = {45}^{ \circ} [/tex]
substitute the value of A to the second equation:
[tex] \displaystyle \: {45}^{ \circ} - B = {30}^{ \circ} [/tex]
cancel 60° from both sides:
[tex] \displaystyle \: - B = { - 15}^{ \circ} [/tex]
divide both sides by -1
[tex] \displaystyle \: B = {15 }^{ \circ} [/tex]
hence,
[tex] \displaystyle \: A = {45}^{ \circ} \\ B = {15}^{ \circ} [/tex]
Answer for brainliest.
Answer:
2880 in^3
Step-by-step explanation:
since 6 times 2 is 12 then you multiply 1440 times 2 as well :)
Mark me brainlyiest pls :)
Answer: [tex]720^{3}[/tex]
Step-by-step explanation: plz mark me brainliest
find the area of the figure
The bearing of a house from point A is 319° . From a point B , 317m due east of A , the bearing of the house is 288° , How far is the house from A ?.
Please show workings and a diagram.
Answer:
190.2 mStep-by-step explanation:
Refer to diagram in the attachment (not drawn to scale)
A and B are mentioned points and H is the home location.
Bearing on AH is 319°, the angle between horizontal line and AH is:
319° - 270° = 49°Bearing on ABH is 288°, the angle between horizontal line and BH is:
288° - 270° = 18°The 49° is the exterior angle, so the angle H is:
49° - 18° = 31°Use the law of sines to find x, the distance AH:
x/sin 18° = 317/sin 31°x = 317 sin18° / sin 31°x = 190.2 m (rounded)Box 1 measures 6 cmon width, 12 cm in length and 4 cm in height. The height is doubled to 8cm to produce a larger box, Box 2 Which phrase accurately describes the volume of Box 2 in relation to Box 1
Answer: put A
Step-by-step explanation:
Put A cause 1 can’t be measure so you have to add 4 .
please answer I will mark brainliest
Answer:
3,466.32
Step-by-step explanation:
Answer:
give other person brainliest
Step-by-step explanation:
Which side lengths do not make a triangle ?
10, 15, 23
1, 2, 4
5, 6, 7
6, 8, 9
Answer:
1,2,4
Step-by-step explanation:
Okay so basically in a triangle, the sum of any two sides should be greater than the third remaining side. So if we had a triangle with sides A, B, and C, A+B>c, A+C>B, and B+C>A. If you look at 1,2, and 4, 1=2=3 which is less than 4. That is why that is not a triangle.
what is the 5th significant number of 24.98063
Answer:Look at the 2nd significant digit that the number has.
In a decimal, the first significant digit is the first non-zero digit. The 2nd significant digit is the digit after the first.
if it is less than 5 then round the number down by removing the rest of the number after the 1st significant digit and filling in with zeros;
if it is 5 or more then round the number up by adding one on to the 1st digit and removing the rest of the number and filling in with zeros.
Step-by-step explanation:
8726 rounds up to 9000, because the 2nd significant digit is a 7.
73.283 rounds down to 70 because the 2nd significant digit is a 3.
152 rounds up to 200 because the 2nd significant digit is a 5.
0.003826 rounds up to 0.004 because the 2nd significant digit is an 8.
0.60828 rounds down to 0.6 because the 2nd significant digit is a 0.
What is the equation of the line that passes through the point (−1,−5) and has a slope of −3?
Answer:
[tex]y=-3x-8[/tex]
Step-by-step explanation:
Linear equations are typically organized in slope-intercept form:
[tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept (the value of y when the line crosses the y-axis)
1) Plug the slope (m) into the equation
We're given that the slope is -3. Plug -3 into the equation
[tex]y=-3x+b[/tex]
2) Solve for the y-intercept (b)
To solve for b, plug the given point (-1,-5) into the equation as (x,y).
[tex]-5=-3(-1)+b\\-5=3+b[/tex]
Subtract 3 from both sides
[tex]-5-3=3+b-3\\-8=b[/tex]
Therefore, the y-intercept is -8. Plug -8 back into our original equation as b
[tex]y=-3x-8[/tex]
I hope this helps!
A building casts a 48 foot shadow on the ground. If you stand at the end of the shadow and look towards the building and the sun, the angle of elevation to the sun is 35.3º. Which expression can you use to find the height of the building?
Answer:
5643/494-6494_x error45H5Y09B9,Gn94365
Step-by-step explanation:
ERRORRRRR
please help! anybody know a math activity i could do for preschoolers? i have to make a sample as well but i just need an idea
does anyone know how to do this ? I need to show my work btw
Answer:
m∠ECD = 145°
m∠FCA = 35°
m∠PDF = 70°
Step-by-step explanation:
For ∠ECD:
- You can find this angle using supplementary angles. ∠ECD and ∠ECB are supplementary, meaning they add to 180°. Since the measure of ∠ECB is provided, you can subtract that from 180° to get m∠ECD:
180 - 35 = 145°, so m∠ECD = 145°
For ∠FCA:
- You can solve this problem using the Vertical Angles theorem. It states that vertical angles are congruent. ∠FCA's vertical angle pair is ∠ECB, which is 35°, so you can deduce that m∠FCA = 35°
For ∠PDF:
- You can find the measure of this angle by using supplementary angles like for ∠ECD. ∠PDC is supplementary to ∠PDF, and it's value is given. so you can find PDF by subtracting the value of ∠PDC from 180:
180 - 110 = 70°; m∠PDF = 70°
Decrease £101 by 43%
Answer:
Step-by-step explanation:
100-43=57%
57/100 x 101
0.57 x 101
£57.57
or
43/100 x 101
0.43 x 101
43.43
100-43.43
=£57.57
volume of a sphere that has a diameter of 8 inches PLEASE HELP
Answer: 268.08in³
Formula:
V=4 π r³
3
d= 2r
Solving for V:
V=1 π d³=1·π·83≈268.08257in³
6 6
A school system is reducing the amount of dumpster loads of trash removed each week. In week 5, there were 60 dumpster loads of waste removed. In week 10, there were 40 dumpster loads removed. Assume that the reduction in the amount of waste each week is linear. Write an equation in function form to show the amount of trash removed each week.
f(x) = −4x + 60
f(x) = 4x + 60
f(x) = −4x + 80
f(x) = 4x + 80
Answer:
f(x) = -4x + 80
Step-by-step explanation:
You are given two points,
(5, 60) and (10, 40)
in order to get the equation, let's use the form slope-intercept form
m = (y1 - y2) / (x1 - x2)
m = (60 - 40) / (5 - 10)
m = 20/-5
m = -4
Get the x intercept
y = mx + b
60 = (-4)(5) + b
b = 60+20
b = 80
so the equation is
y = -4x + 80
f(x) = -4x + 80
Answer:
c
Step-by-step explanation:
f(x)=-4x+80
Help me plzz and thank you follow my tik baxbyalert help me plzz i love you guys so much
Answer:77
Step-by-step explanation:
415-338=77
subtract (4x^2 - x+6 from (3x^2+5x-8 ) ?
Answer:
-x^2+6x+2
Step-by-step explanation:
1. Calculate
3x^2+5x-8-4x^2+x-6 = -x^2+6x+2
six teams are out on the field playing soccer. the team all have the same number of players.
Here's link to the answer:
cutt.us/tWGpn
Find the quotient: 23 ½ ÷ ¼ =
Answers:
23 2/6
23
23 1/8
94
Answer:
The answer is d: 94
Step-by-step explanation:
can you help me with this, please?
9514 1404 393
Answer:
b, c, d -- (all but the first)
Step-by-step explanation:
The key take-away regarding what relation is or is not a function is the following: a function has no repeated x-values.
The x-values in the table are -3, -1, 0, 2, so any suggested ordered pair with one of those as an x-value cannot be added to the table. The only such pair in the list is the first one (-3, 4). It cannot be added. All of the remaining three pairs can be added and the relation will remain a function.
Identify the expression that has the largest value when a<-1
1-2a
a
a^2
a^3
Answer:
1-2a is the largest for -1 > a > -2.41
a^2 is the largest for -2.41 > a.
Step-by-step explanation:
We want to find the expression with the largest value.
Remember that the sign is important here, because:
1 is larger than -10
So we will look at the expressions that, when evaluated in a negative number, give a positive number.
The only two options in the case:
a < -1
are:
1-2a
and
a^2
So we have a linear equation and a quadratic equation.
We know that quadratic equations grow a lot faster than linear equations for all values larger than 1 (or minus one, because the sign does not matter).
if -1 < a < 1, a quadratic function grows really slow, but this is not the case.
So from now, we can guess that a^2 is larger.
But let's solve it graphically.
Let's define two functions:
f(a) = 1 - 2*a
g(a) = a^2
Now we can graph these two, and look at the region a < -1, and see which one is larger.
in the image, you can see that there is a small region from:
-1 > a > -2.41
Where the linear equation is larger, and for:
a < -2.41
The quadratic equation is larger.
To create the flower gardens, Wendell bought six pieces of wood. Pieces A and B are 6 feet long, pieces C and D are 8 feet long, piece E is 3 feet long, and piece F is 2 feet long.
Part A
Can Wendell make a triangular garden using pieces A, B, and F? Why or why not?
Part B
Can Wendell make a triangular garden using pieces D, E, and F? Why or why not?
Part C
Can Wendell make a rectangular garden with the pieces of wood he has? If yes, which pieces can he use?
Part D
Describe how Wendell can use all six pieces of wood to create either two rectangular gardens or two triangular gardens. Assume the gardens do not share a common side.
Part E
Wendell’s dog, Jordan, was getting in his way as he worked in the backyard. So, Wendell chained him to a pole. If the chain is 12 feet long, about how much area does Jordan have to walk around?
Don't bother to answer if you're not gonna get them right or just guessing.
Answer:
i only know A and B
Step-by-step explanation:
Part A: Yes because the total is 6 pieces and can be used for each to find the answer
Part B: To create the flower gardens, Wendell bought six pieces of wood. Pieces A and B are 6 feet long, pieces C and D are 8 feet long, piece E is 3 feet long, and piece F is 2 feet long
Sorry but at least its something
A 960-square-foot apartment in New York City costs $540,000. What is the price per square foot? $
Answer:
The price per square foot is $468.75
Step-by-step explanation:
You would take the price and divide it by the square footage.
540,000
------------- = 468.75
960
Find p and q .......
Answer:
Q = 9
P = 5
Step-by-step explanation:
1/8 of 4 yards= ? feet not in decimal form
9514 1404 393
Answer:
3/2 feet
Step-by-step explanation:
4 yards = (4 yd)(3 ft/yd) = 12 ft
1/8 of that is ...
(1/8)(12 ft) = (12/8) ft = 3/2 ft = 1 1/2 ft
Hi! I could really use some help :)
Answer:
A=330
Step-by-step explanation:
im not sure which is the length width height
but if length is 10
width is 3/5
height is 15
A=2(wl+hl+hw)=2·(0.6·10+15·10+15·0.6)=330
then the area would be 330
Help ASAP!!!!!!! It’s to confusing
Answer:
every one equals 32
Step-by-step explanation:
Every hour equals 32 tickets sold
Answer:
32
Step-by-step explanation:
all equal 32
Bryce tried to solve an equation step by step. \qquad\begin{aligned} \dfrac83&=3\left(c+\dfrac53\right)\\\\ \\ \dfrac83&=3c+\dfrac53&\green{\text{Step } 1}\\\\ \\ 1&=3c&\blue{\text{Step } 2}\\\\ \\ \dfrac13&=c&\purple{\text{Step } 3}\\\\ \end{aligned}
Answer:
Bryce is wrong in step 1 because he did not distribute 3 over 5/3
Explanation
Given the steps taken by bryce as shown, we are to find where he made an error
[tex]\qquad\begin{aligned} \dfrac83&=3\left(c+\dfrac53\right)\\\\ \\ \dfrac83&=3c+\dfrac53&\green{\text{Step } 1}\\\\ \\ 1&=3c&\blue{\text{Step } 2}\\\\ \\ \dfrac13&=c&\purple{\text{Step } 3}\\\\ \end{aligned}[/tex]
Given the expression;
[tex]\dfrac83&=3\left(c+\dfrac53\right)\\\\ \\[/tex]
Step 1:Expand the bracket using the distributive law;
8/3 = 3c + 3(5/3)
Simplify
8/3 = 3c + 15/3
Step 2: Subtract 15/3 from both sides
8/3 - 15/3 = 3c+15/3-15/3
(8-15)/3 = 3c
-7/3 = 3c
Step 3: Multiply both sides by 1/3
-7/3 * 1/3 = 3c * 1/3
-7/9 = c
Swap
c = -7/9
From the calculation, we can see that Bryce is wrong in step 1 because he did not distribute 3 over 5/3 thereby making his solution incorrect
Plz help me with this question plz
Answer:
Quarters: 2 = 50 cents. 50cents
Dimes: 2 = 20 cents. 70cents
Nickels: 8 = 40 cents. $1.10
Hope this Helps!:)
HELP PLEASE DUE IN 3 MINUTES
Answer:
The answer is 5 TRUST ME
Step-by-step explanation:
Answer:
5 is the median
Step-by-step explanation:
Median
Arrange your numbers in numerical order.
Count how many numbers you have.
If you have an odd number, divide by 2 and round up to get the position of the median number.
If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.