Answer:
∡1 = 64°
Step-by-step explanation:
∡3 = 180-104 which is 76°
∡1 = 180 - (40 + 76) = 180-116 or 64°
Sasha borrows $100 at 12% simple interest, to be paid back in one year . How much does she pay back
Answer:
$289 I think
Step-by-step explanation:
$289 I think
sorry if I am wrong
Zahra reads 45 words per minute. at this rate. how many minutes will it take for her to read 180 words
Answer:
4 minutes
Step-by-step explanation:
I will use ratios for this equation:
[tex]\frac{1}{45} =\frac{x}{180} \\\\45x=180\\x=4[/tex]
It will take Zahra 4 minutes to read 180 words because she reads 45 words PER minute.
Simplify √27x². I know the answer is 3x√3, but my teacher wants me to show how I solved it and i dont know how...please help.
Answer:
[tex]3\sqrt{3}x[/tex]
Step-by-step explanation:
Expand √27x² in such a way that it is the :-
Product of at either two or more perfect square numbers or,Product of two or more numbers out of which one (or more) is a perfect square number.So ,
[tex]\sqrt{27x^2} = \sqrt{9 \times 3 \times x^2}= 3 \times \sqrt{3} \times x = 3\sqrt{3}x[/tex]
A backpack normally costs $25 but it is on scale for $16.25. What percentage is on discount? Please help, I have a test rn:((
Answer: 16%
Step-by-step explanation:
$25 - $21 = $4
Percentage = 100[discount / (original price)] % = 100($4 / $25) % = 16%
if there are 24 tires, how many cars are there?
Answer:
each car have 4 tires, so 24/4=6
there are 6 cars
A fish starts at -8 m and jumps up 13 m, what is the fishes new elevation?
Answer:
the fish is now at 5 m
Step-by-step explanation:
13-8=5
Find the 69th term of the arithmetic sequence -13, -33, -53, ...
Answer:
-1,373
Step-by-step explanation:
a69 = -13 + (69-1)(-20)
= -13+(68)(-20)
= -13 - 1,360
= -1,373
Answer:
-1373
Step-by-step explanation:
GIVEN :-
A.P. = -13 , -33 , -53 , ...TO FIND :-
69th term of A.P.FACTS TO KNOW BEFORE SOLVING :-
Lets say there's an A.P. whose :-
First term = aCommon Difference = dTotal number of terms = nnth term = aⁿFormula for finding nth term of A.P. = aⁿ = a + (n - 1)d
SOLUTION :-
According to the question ,
First term = -13Common difference = -33 - (-13) = -20Number of terms needed to find = 69By using the formula for finding nth term ,
69th term of A.P. = -13 + (69 - 1)×(-20) = -13 + (-1360) = -1373
Find the side length x
Answer:
x = 10
Step-by-step explanation:
8² + 6² = x²
64 + 36 = x
64 + 36 = 100
√100 = 10
[tex]\huge\bold{To\:find:}[/tex]
✎ The length of the hypotenuse ''[tex]x[/tex]".
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\sf\purple{The\:length\:of\:the\:hypotenuse \:"x"\:is\:10.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
Using Pythagoras theorem, we have
[tex] ( {hypotenuse})^{2} = ( {perpendicular})^{2} + ( {base})^{2} \\ ⇢ {x}^{2} = {6}^{2} + {8}^{2} \\ ⇢ {x}^{2} = 36 + 64 \\ ⇢ {x}^{2} = 100 \\ ⇢ x = \sqrt{100} \\ ⇢x = \sqrt{10 \times 10} \\ ⇢x = \sqrt{ ({10})^{2} } \\ ⇢x = 10[/tex]
[tex]\sf\blue{Therefore,\:the\:length\:of\:the\:hypotenuse\:is\:10.}[/tex]
[tex]\huge\bold{To\:verify :}[/tex]
[tex] {x}^{2} = {6}^{2} + {8}^{2} \\⇝ ({10})^{2} = 36 + 64 \\ ⇝10 \times 10 = 100 \\ ⇝100 = 100 \\ ⇝L.H.S.=R. H. S[/tex]
Hence verified. ✔
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
what is 6 copies of 1/8
Answer:
6/8 or 1/8 1/8 1/8 1/8 1/8 1/8
Step-by-step explanation:
6/8 simplified is 6/2=3 8/2=4 so it is 3/4
simplify the question
Answer:
[tex] \frac{2}{x - 3} - \frac{12}{ {x}^{2} - 9} \\ = \frac{2}{x - 3} - \frac{12}{(x - 3)(x + 3)} \\ = \frac{2(x + 3) - 12}{( {x}^{2} - 9)} \\ = \frac{2x - 6}{( {x}^{2} - 9)} \\ = \frac{2(x - 3)}{(x - 3)(x + 3)} \\ = \frac{2}{x + 3} [/tex]
What does the m represent in the function? 2m +6
Help
Answer:
the variable
Step-by-step explanation:
m is the variable
If the quadrilateral below is a trapezoid, find the missing measures.
PLEASE HELP
Answer:
101°
46°
Step-by-step explanation:
The sum of angle C and angle F should be 180°as they are parallel.
Hence, angle C ;
Angle C + angle F = 180°
Angle C + 79° = 180°
Angle C = 180° - 79°
Angle C = 101°
Sum of angle in Trapezoid = 360°
Hence,
C + D + E + F = 360°
101° + 134° + E + 79° = 360°
314° + E = 360°
E = (360 - 314)°
E = 46°
AABC is a right triangle. AB=____
Since ABC is a right triangle, we can use Pythagorean Theorem to solve for side AB.
Pythagorean Theorem: a^2 + b^2 = c^2
4^2 + 7^2 = c^2
16 + 49 = c^2
65 = c^2
c = 8.06
Hope this helps!! :)
Answer:
8.06
Step-by-step explanation:
Well the formula for this is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
The sides given are called the opposite and the adjacent, which, in this formula correspond to a and b. What you are trying to find is called the hypotenuse, and in this formula, c.
First you need to square a and b, like in the formula:
[tex]4^{2}[/tex] = 16
[tex]7^{2}[/tex] = 49
Now you add these together to find [tex]c^{2}[/tex]:
16 + 49 = 65
So [tex]c^{2}[/tex] is 65, and to find c you need to square root that:
[tex]\sqrt{65}[/tex] = 8.0622577...
So its approximately 8, and more accurately 8.06
Drag the sliders.
Shape A
Shape B
Which slider creates scale copies of the shape?
Choose 1 answer:
Slider for Shape A
Slider for Shape B
An electronics company sells computer monitors
and releases a new model every year. With each
new model, the company increases the screen
size by a constant amount. In 2005, the screen
size was 15.5 inches. In 2011, the screen size was
18.5 inches. Which of the following best
describes how the screen size changed between
2005 and 2011?
A) The company increases the screen size by
0.5 inch every year.
B) The company increases the screen size by 1
inches every year.
C) The company increases the screen size by 2
inches every year.
D) The company increases the screen size by 3
inches every year.
The statement that best describes how the screen size changed between 2005 and 2011 is: A) The company increases the screen size by 0.5 inch every year.
Screen size changed between 2005 and 2011Given:
2005= 15.5 inches
2011=18.5 inches
Hence:
2005-2011= 6 years
18.5 inches-15.5 inches=3 inches
Size of screen:
Size of screen=3/6
Size of screen=0.5 increase every year
Therefore the correct option is A.
Learn more about screen size change here:https://brainly.com/question/13261582
#SPJ6
please help!! choices for for the first one is $5, $15, $10, $20
Answer:
5, 240
Step-by-step explanation:
Please help I am confused explain your answer and brainliest
Answer:
Technically Andrew since his sum is technically "higher" than the rest of the negative numbers.
Answer:
Andrew
Step-by-step explanation:
Andrew since his sum is practically greater than the rest of the negative numbers.
Can someone help me with this please
Answer:
where is the diagram?
Step-by-step explanation:
Johnny wants to buy a set of drums that cost $2000, it requires a 15% down payment. The remainder plus an additional finance charge is paid back on a monthly basis of 25 months. the monthly payment is $80. What is the finance charge.
Answer: The finance charge = $ 300
Step-by-step explanation:
Given: cost of drums = $ 2000
Down payment = 15% of 2000
= 0.15 x 2000
= $300
Total installments = (Number of months) x (Monthly charge)
= 25 x $ 80
= $ 2000
Finance charge = Down payment + Total installments - cost of drums
= $ (300+2000-2000)
= $ 300
Hence, the finance charge = $ 300
A basketball tosses a ball to a teammate. The ball reaches a maximum height of 11 feet 3 seconds after it was released. If the ball is thrown from a height of 6 feet, write a quadratic equation that represents the height of the ball as a function of time
Answer:
h = - 16t² + 49.67t + 6
Step-by-step explanation:
The expression for the height of the basketball, h at time, t is given by
h - h₀ = u₀t - 1/2gt² where h₀ = initial height of ball = 6 feet, h = maximum height of ball = 11 feet, u₀ = initial vertical velocity of ball, t = time taken to reach maximum height = 3 s and g = acceleration due to gravity =9.8 m/s².
We need to find u₀ from u = u₀ -
So, h - h₀ = u₀t - 1/2gt²
h - h₀ + 1/2gt² = u₀t
u₀ = (h - h₀)/t + 1/2gt
substituting the values of the variables into the equation, we have
u₀ = (h - h₀)/t + 1/2gt
u₀ = (11 ft - 6 ft)/3s + 1/2 × 32 ft/s² × 3 s
u₀ = 5 ft/3s + 1/2 × 96 ft/s
u₀ = 1.67 ft/s + 48 ft/s
u₀ = 49.67 ft/s
Using h - h₀ = u₀t - 1/2gt² where h is the height of the basketball at time, t
h = u₀t - 1/2gt² + h₀
substituting the values of the variables into the equation, we have
h = u₀t - 1/2gt² + h₀
h = (49.67ft/s)t - 1/2(32 ft/s²)t² + 6 ft
h = 49.67t - 16t² + 6
h = - 16t² + 49.67t + 6
Solve for the value of x.
Step-by-step explanation:
9x-4+6x+4=180 ( being straight angle)
15x=180
x=180/15
x=12
I hope it help you
Find the perimeter of triangle ABC with vertices A(–5, –2), B(–2, –2), and C(–5, 2).
Answer:
12 units
Step-by-step explanation:
the perimeter = AB+AC+BC=
3+4+5 = 12
Answer:
12 units
Step-by-step explanation:
AB = 3 units
BC = 5 units
CA = 4 units
Perimeter of triangle,
→ AB + BC + CA
→ 3 + 5 + 4
→ 12 units is the answer.
3m=5m-8/5...................................
Answer:
its m= 4/5
Step-by-step explanation:
Answer:
[tex]m = \frac{4}{5}[/tex]
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Solve.
3x+4y=−15
2x−2y=−3
Taylor invested $2500 in an account that pays 3.7% interest compounded monthly. If Taylor does not touch the money, what will the balance of the account be after 7 years?
Answer:
hehe
Step-by-step explanation:
PLS HELP
What is the value of x ?
A. 42
B. 43
C. 84
D. 86
Answer:
B
Step-by-step explanation:
x+x+94 = 180 (sum of angle of triangle)
2x+94 = 180
2x = 180-94
2x = 86
x = 86÷2
Therefore x = 43
If quadrilateral WXYZ is a rhombus and ZY = 25, VX = 15, WY = 40 find each measure
Answer:
Size of the side of the square = 25
Step-by-step explanation:
Here WY is the diagonal
VZ = ZX = 15
and VW = VY = 20 (bisector of diagonal)
The diagonals intersect each other at 90 degrees
Hence the side of the Rhombus
Sqrt ( 15^2 + 20^2)
Sqrt (225 +400)
Sqrt (625)
= 25
Problem Page Suppose we want to choose 2 letters, without replacement, from the 4 letters A, B, C, and D.
Note: Consider we need to find the possible number of ways to choose 2 letters, without replacement, from the 4 letters A, B, C, and D.
Given:
Number of letters = 4
Number of letters selected without replacement = 2
To find:
The total possible number of ways.
Solution:
We have 4 letters A, B, C and D.
So, the number of ways to select first letter is 4.
After selecting a letter the number of remaining letters is 3.
So, the number of ways to select second letter is 3.
Now, the total number of ways to select 2 letters, without replacement, from the 4 letters A, B, C, and D is:
[tex]4\times 3=12[/tex]
Therefore, the required number of ways is 12.
Pls help.
Question above
Answer:
[tex]m = \frac{5}{2} [/tex]
Step-by-step explanation:
Here are the laws which would be used in this question:
Indices:
• [tex] \sqrt{a} = {a}^{ \frac{1}{2} } [/tex]
• [tex] \frac{1}{a} = {a}^{ - 1} [/tex]
Logarithm
• [tex] log_{a}( {x}^{n} ) = n log_{a}(x) [/tex]
[tex] log_{m}( \sqrt{2} ) + log_{m}(8) + log_{m}( \frac{1}{2} ) [/tex]
[tex] = log_{m}( {2}^{ \frac{1}{2} } ) + log_{m}( {2}^{3} ) + log_{m}( {2}^{ - 1} ) [/tex]
[tex] = \frac{1}{2} log_{m}(2) + 3 log_{m}(2) - log_{m}(2) [/tex]
[tex] = \frac{5}{2} log_{m}(2) [/tex]
(4x²y³ + 2xy² - 2y) - (-7x²y³ + 6xy² - 2y)
Answer:
Simplified it would be 11x^2y^2 - 4xy^
Answer:
11x²y³ - 4xy²
Step-by-step explanation:
is the answer if simplified.