Answer:
18
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp /adj
tan ? = 11/34
Taking the inverse tan of each side
tan ^-1 (tan ?) = tan ^-1 (11/34)
? =17.92791
To the nearest degrees
? = 18
Answer:
Set the measure of the indicated angle as x:
[tex]tan(x)=\frac{11}{34}\\\\x=tan^{-1}(\frac{11}{34})\\\\x=17.9279...[/tex]
Therefore, the measure of the indicated angle is around 18°
Ian drives an electric car. He can drive 425 kilometres before he needs to stop and recharge his car. It takes 10 minutes to charge 50 kilometres. How long does Ian have to wait for his car to fully charge?
Answer:
85 minutes
Step-by-step explanation:
425/50=8.5 10 minute increments
8.5*10= 85 minutes
In ΔABC, ∠A = 50° and the external bisectors of ∠B and ∠C meet at O as shown in figure. The measure of ∠BOC is
Answer:
17
Step-by-step explanation:
Look at Triangle ABC, The rays meet at line BC and they are both from the interior point A. So this means that AB=AC. This makes ABC a isosceles triangle. Using the isosceles triangle theorem, Angle B and Angle C measure is equal to each other so
[tex]50 + x + x = 180[/tex]
[tex]50 + 2x = 180[/tex]
[tex]2x = 130[/tex]
[tex]x = 65[/tex]
This means angle b and C of the triangle ABC measure is 65.
External bisector bisect a figure that it makes the original angle split into half that they are equal to each other.
This means the angle below Angle B and angle C measure is 32.5. We can find the measure of Angle B and C in triangle BOC. This is a isosceles triangle as well so
[tex]32.5 + 65 + x = 180[/tex]
[tex]98.5 + x = 180[/tex]
[tex]x = 81.5[/tex]
Angle C is 81.5 as well so
[tex]81.5 + 81.5 = 163[/tex]
Find angle o
[tex]180 - 163 = 17[/tex]
For which of the following do you need to change the final y to i before adding the suffix?
say + -ing
happy + -ness
enjoy + -ment
play + -er
An employee is scheduled to work 40 hours per week at a base rate of $18.50 per hour. In addition to the 40 scheduled hours, the employee is asked to work 8 hours of overtime for one week due to staffing shortages. If overtime is paid at a rate of 1.5 times the base rate, how much will the employee earn for the week? (use $xxx.Xx format)
Answer:
$962.00
Step-by-step explanation:
We can start from the first sentence of the word problem and work from there.
First, the employee is working for 40 hours at $18.50 per hour. This means that for each hour, the employee is gaining $18.50 . This can be represented as $18.50 * 40 = $740 for their base pay.
Next, the employee works 8 hours of overtime at 1.5 * base pay (18.50). For each hour of overtime they work, they earn 1.5 * 18.50 = $27.75 dollars. Their earnings from overtime work for the week can be represented as
8 * 27.75 = $222
Because all the employee's hours are encompassed in overtime and base pay, we can add the two together to get
740 + 222 = $962.00 for their total pay for the week
Select the two values of x that are roots of this equatio 2x - 5 = - 3x ^ 2
alright I can help!
so to find the two values of x that are roots of the equation we need to put the variables all on one side so that we can set up the quadratic formula.
3x^2+2x-5=0 (the -3x^2 becomes positive when moved across the equal sign)
now we can set up the quadratic formula. the equation is x= (-b+-(sqrt of b^2 -4ac))/ 2a
so now we just plug in our variables.
x= (-2+-(sqrt of 2^2 -4×3×-5))/ 2×3
x= (-2+-8)/6
now we just seperate the equations so that we have the two roots. and then just solve!
x= (-2-8)/6 -> x= -5/3
x= (-2+8)/6 -> x=1
hope this helps! best wishes and best of luck!!
find the coefficient of mt in the expansion of 4m(3n-2t)+3t(3t-2m)
Answer:
-14
Step-by-step explanation:
12mn-8mt+9t²-6mt
12mn+9t²-14mt
the coefficient of mt is -14
The coefficient of the given expansion 4m(3n-2t)+3t(3t-2m) will be -14.
What is expansion?Expanded form is the term used in mathematics to refer to the process of expanding a number to convey the value of every digit and place value.
When a mathematical object is increased by a multiplier that is bigger in actual values than one, an expansion follows.
In another word, if you solve a factor by opening the bracket then you will go to get on some expanded term called expansion.
In mathematics, all real-life problems can be converted into equations which are sometimes in form of factors and we need to expand them to create solutions.
Given that
⇒ 4m(3n-2t)+3t(3t-2m)
⇒ 12mn -8mt + 9t² - 6mt
⇒ 12mn + 9t² + 14 mt
Hence it's clear that the coefficient of mt will be -14.
For more information about the expansion
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Someone help pleaseee
Answer:
see explanation
Step-by-step explanation:
The area (A) of a rectangle is calculated as
A = length × breadth
= (2 + [tex]\sqrt{2}[/tex] )(4-2[tex]\sqrt{2}[/tex] ) ← expand using FOIL
= 8 - 4[tex]\sqrt{2}[/tex] + 4[tex]\sqrt{2}[/tex] - 4 ← collect like terms
= 4 units²
--------------------------------------------------------
The opposite sides of a rectangle are congruent , so
perimeter = 2(4 - 2 [tex]\sqrt{2}[/tex]) + 2(2 + [tex]\sqrt{2}[/tex] ) ← distribute parenthesis
= 8 - 4[tex]\sqrt{2}[/tex] + 4 + 2[tex]\sqrt{2}[/tex] ← collect like terms
= 12 - 2[tex]\sqrt{2}[/tex] units
Please help me out with my maths I would really appreciate it
Answer:
a.
1. The rule in this sequence is (+5) every next pattern
2. 22, 27, 32, 37
3. 42
4. 12 term
5. 67
b.
1. The rule in this sequence is (-3) every next pattern
2. -7, -10, -13, -16
3. -16
4. 13 term
5. -37
Step-by-step explanation:
Answer:
I'm not sure about the answer.
a.
1. The rule in this sequence is (+5) every next pattern
2. 22, 27, 32, 37
3. 42
4. 12 term
5. 67
b.
1. The rule in this sequence is (-3) every next pattern
2. -7, -10, -13, -16
3. -16
4. 13 term
5. -37
Hope this helps you ^^
Boston wheel chair marathon how long would it take to run a 30 mile race
please help. only need to do part b
Which expressions are equivalent to 5+(-3)(6x-5)5+(−3)(6x−5)5, plus, left parenthesis, minus, 3, right parenthesis, left parenthesis, 6, x, minus, 5, right parenthesis ? Choose all answers that apply: Choose all answers that apply: (Choice A) A 18x-2018x−2018, x, minus, 20 (Choice B) B 3x-33x−33, x, minus, 3 (Choice C) C None of the above
5+(-18x+15)5 + (-18x +15)5
5+ (-90x +75) + (-90x + 75)
-180x +155
let's see the alternatives:
a) -2000x - 2018 -> -200x - 201,8
b) -30x - 33 -> -180x -198
c) none of the above
so, c is the right one
hope it helps :)
Answer:
ITS C
Step-by-step explanation:
Question: "If y > 3, what is the value of n ?"
Answer:
y-3
Problem:
What is the remainder when the dividend is xy-3, the divisor is y, and the quotient is x-1. ?
Step-by-step explanation:
Dividend=quotient×divisor+remainder
So we have
xy-3=(x-1)×(y)+remainder
xy-3=(xy-y)+remainder *distributive property
Now we just need to figure out what polynomial goes in for the remainder so this will be a true identity.
We need to get rid of minus y so we need plus y in the remainder.
We also need minus 3 in the remainder.
So the remainder is y-3.
Let's try it out:
xy-3=(xy-y)+remainder
xy-3=(xy-y)+(y-3)
xy-3=xy-3 is what we wanted so we are done here.
8/3=12/n solve for n
Answer:
[tex]n=\frac{9}{2}[/tex]
Step-by-step explanation:
[tex]\frac{8}{3} =\frac{12}{n}[/tex]
Cross multiply.
8n=12(3)
8n=36
[tex]n=\frac{9}{2}[/tex]
I hope this helps!
pls ❤ and give brainliest pls
Answer: n = 9/2
Step-by-step explanation:
8/3 = 12/n
Now doing cross multiplication
8/3 = 12/n
8(n) = 12(3)
8n = 36
n = 36/8
n = 9/2
Therefore value of n is 9/2
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Five children share 24m of ribbon equally.
How much ribbon will each child get?
Write your answer as a mixed number.
Answer: 4 8/10m
Explanation:
Total Ribbon = 24m
Total children = 5
Ribbon each student gets = 24÷5
= 4.8
Now 4.8 = 48/10
4 8/10m is the mixed fraction
So each child will get 4 8/10m ribbon
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If five children share 24m of ribbon equally then each children gets [tex]4\frac{4}{5}[/tex] of ribbon.
What is Division?A division is a process of splitting a specific amount into equal parts.
Given that five children share 24m of ribbon equally.
We have to find the amount of ribbon each children gets.
To find this we have to divide the length of the ribbon with the number of children.
Twenty four divided by five.
24 is the dividend and five will be the divisor
24/5
Now we have to write this in mixed fraction
[tex]4\frac{4}{5}[/tex]
Hence, if five children share 24m of ribbon equally then each children gets [tex]4\frac{4}{5}[/tex] of ribbon.
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which statement is true
Vectors a = (1,0) and b= (1,1) are given. For what λ vector a + λb is perpendicular to vector a?
Answer:
-1
Step-by-step explanation:
Vector a=(1,0) if visualized as a line has points (0,0) and (1,0). This means the line is horizontal and has equation y=0.
This means we are looking for a vertical line.
Instead of lambda, I'm going to use u.
So we want a+ub=(1,0)+u(1,1). to vertical. If we visualize this as a line with points (0,0) and (1+u,u). We would need u=-1 so this would be vertical.
So vectors a=(1,0) and a+ub=(1,0)+u(1,1) are perpendicular for u=-1.
So we are saying vectors (1,0) and (0,-1) are perpendicular. If you draw these, you can get a visual confirmation.
The value of λ is -1 and is perpendicular to vector a.
What is Vector?A vector is a number or phenomena with two distinct properties: magnitude and direction. The term can also refer to a quantity's mathematical or geometrical representation. In nature, vectors include velocity, momentum, force, electromagnetic fields, and weight.
We have,
Vector a = (1, 0) and b = (1, 1).
Here the vector is visualized as line is horizontal and has equation y=0.
Now, we have a + λb is perpendicular to vector a.
So, a + λb = (1, 0) + λ(1, 1)
= (1 + λ, 1)
Now, to get the vertical component we must have λ= -1.
Then, a(1, 0) and a+λb= (1,0)+ λ(1, ) are perpendicular to λ=-1.
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Fill in the missing number in the equation.
Drop down answers: -2, 8, 15, or It is not possible to find the answer
9514 1404 393
Answer:
8
Step-by-step explanation:
The matrix being multiplied is the same in all cases, so we can "collect terms" in the usual way.
3A +5A = (3+5)A = 8A . . . . . . where A represents the 2×2 matrix
The missing number is 8.
SOMEONE HELP ME PLEASE
Answer:
Step-by-step on:ơ
Which of the following rules describes the function graphed below?
Answer:
D
Step-by-step explanation:
Output = 3*input - 2. Observe the graph again
16x + 90 = 2 ( 10x + 5 ) answer
Answer:
x = 20
Step-by-step explanation:
[tex]16x+90=2(10x+5)\\\\16x+90=20x+10\\\\90=4x+10\\\\80=4x\\\\20=x[/tex]
Please help 15 points! And brainlist! Hurry I need help right now!
Answer: quadrant 1
Step-by-step explanation:
the triangle will make 5 360° rotations and then one 180° rotation. we know this because 1980/360=5.5
[(-33) + 46 + 68] - |15 - 61|
Answer:
127
Step-by-step explanation:
[(-33) + 46 + 68] - (15 - 61)
(114-33)-(-46)
81+46
127
which one of the following has a terminating decimal expansion?
a.5/64
b.8/9
c.14/15
d.1/12
Answer:
b. 8/9
Step-by-step explanation:
step by step explanation
Answer:
A
Step-by-step explanation:
Because if you were to out each fraction into a calculator you see that b,c, and d have a never ending decimal. The only fraction that does end in option A, therefore ur answer is option a
find the missing side
Answer:
x ≈ 13.7
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos70° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{40}[/tex] ( multiply both sides by 40 )
40 × cos70° = x , then
x ≈ 13.7 ( to the nearest tenth )
In a 4-digit perfect square, the first two digits are the same, and the last two digits are also the same. What is the value of this 4-digit number?
Answer:
7744Step-by-step explanation:
Let the number is in the form of aabb.
We can put it as:
aabb = 11*(100a + b) = 11*(99a + a + b)The number is a perfect square so it must be divisible by 11.
It is divisible by 11 if (a + b) is divisible by 11..
On the other hand, b = 0, 1, 4, 5, 6, 9 as the last digit of a perfect square.
Also, both a and b must be within (0,9) interval.
Considering the above conditions we have options:
a,b = 2,9 or 5,6 or 6,5 or 7,4The numbers are:
2299556666557744By testing we confirm only one of them is a perfect square:
7744Solve for x 3x+3/x-4 = 3x+2/x+4
Answer:
here you go! with step by step so you can do it next time
Answer:
-7/8
Step-by-step explanation:
cross multiply first then expand the equations when you cross multiply it will be
(3x+3)(x+4)=(3x+2)(x-1)
3x(x+4)+3(x+4)=3x(x-1)+2(x-1)
3x²+12x+3x+12=3x²-3x+2x-2
3x²+15x+12=3x²-x-2
3x²-3x²+15x+x=-2-12
16x/16=-14/16
x=-14/16
simplified to
-7/8
I hope this helps
Solve for the value of n.
n =
Answer:
136+(4n-8)=180
136+4n-8=180
4n+128=180
4n=52
n=13
Step-by-step explanation:
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Which property does the following statement illustrate? (a+b)c = (b+a)c
A: associative
B: Commutative
C: Identity
D: None
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Larry is going on a road trip for work. He is recording how many miles he drives, and how many gallons of gas he uses for his expense report. Which is the independent variable?
A. the amount of miles Larry drives
B. the type of roads Larry drives on
C. the type of car Larry drives
D. the amount of gasoline Larry uses
Find the missing value that makes each of the following pairs of fractions equivalent.
3/5 = [] 20
4/7 = 16 []
25/30 = []6
4 = (1/10
Circle the improper fractions
9/5
5/12
21/8
11/19
10/1
Answer:
3/5=12/20 multiply by 4
4/7=16/49 a square of
25/30=5/6 divide with 5
improper fractions
9/5
21/8
10/1