Answer:
Step-by-step explanation:
Use law of cosine to calculate the other side.
c² = a² + b² -2ab Cos C
Here, c is the length of the side which is opposite side to ∠E
a = 29 ; b = 25 and C = 109
c² = 29² + 25² - 2*29*25*Cos 107
= 841 + 625 - 1450* (-0.2923)
= 1466 + 423.835
= 1889.835
c =√1889.835
c = 43.47 ≈ 43
No, find ∠D using again use law of cosine
[tex]Cos \ \beta = \dfra{a^{2}+c^{2}}-b^{2}{2ac}\\\\\\ = \dfrac{29^{2}+43^{2}-25^{2}}{2*29*43}\\\\\\Cos \ \beta =\dfrac{841+1849-625}{2494}=\dfrac{2065}{2494}\\\\Cos \ \beta = 0.828\\\\\beta =Cos^{-1} \ 0.828\\\\[/tex]
β = ∠C = 34°
α = 180 - (34 +107)
α = ∠D = 39
Other angles are
∠C = 34° and ∠D°39
The number is greater than 40. The numberis NOT on a red mailbox. The number has more ones than tens.
Answer:
89
Step-by-step explanation:
Based on the clues given, Meg's mailbox number is equal to 89.
The clues adopted by Meg.
In this scenario, the three clues that were adopted by Meg include:
The number is greater than 40.
The number is NOT on a red mailbox.
The number has more ones than tens.
From the image, the numbers that are greater than 40 include:
Green Mail box = 60.
Red Mail Box = 58.
Blue Mail Box = 89.
Red Mail Box = 73.
From the image, the number that is not on a red mailbox are:
Green Mail box = 60.
Blue Mail Box = 89.
From the image, the number that has more ones than tens is:
Blue Mail Box = 89.
By using place value, 8 represents tens while 9 represents ones (unit). Therefore, Meg's mailbox number is equal to 89.
Please help I will give brainliest
Answer:
D
Step-by-step explanation:
IM RLY SORRY IF THIS IS WRONG IM DOING THIS FORM MEMORY
so I'm pretty sure u the arch equals twice the angle
so pi/2*2 = pi so D
hope it helppsss
trying not to dieT-T
giving brainliest!!!
Answer:
-7
32
Step-by-step explanation:
a)9-16=-7
b)4-10=-6
2∆-6
36-4
32
What is the area of this triangle?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
Answer:13.1
Step-by-step explanation:
Area equation:S=[tex]S=\frac{1}{2} ab sinθ[/tex]
what is 10 1/2 minus 5 2/3
write as a mixed number and reduce to lowest terms
Answer:
4 5/6
Step-by-step explanation:
10 1/2 - 5 2/3
5 3/6- 4/6
4 9/6-4/6
4 5/6
Fatima has 3 packs of batteries. Each pack contains 4 batteries. She gives her brother 8 batteries to put in his toy robot.
Let b represent the number of batteries Fatima has left.
Which equation could be used to find the value of b?
3×4−8=b
3+4−8=b
3 × 4 + 8 = b
3 + 4 + 8 = b
Using a system of equations, it is found that the equation that could be used to find the value of b is given by:
3×4−8=b
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
Fatima has 3 packs of batteries. Each pack contains 4 batteries, hence:
b = 3 x 4
She gives her brother 8 batteries to put in his toy robot, hence:
b = 3 x 4 - 8
Which means that the first expression is correct.
More can be learned about a system of equations at https://brainly.com/question/24342899
Find the value of x + y, given that 9x^2 - 9y^2 = 72 and x - y = 1.5
Answer:
[tex]5\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\boxed{a^{2} -b^{2} = (a +b)(a -b)}[/tex]
9x² -9y²= 72
Factorise:
9(x² -y²)= 72
Divide both sides by 9:
x² -y²= 8
(x +y)(x -y)= 8
Given that x -y= 1.5,
(x +y)(1.5)= 8
Divide both sides by 1.5:
x +y= [tex]5\frac{1}{3}[/tex]
Brainliest if correct
Answer:
6.6072 >6.6>6.09>6.009
Step-by-step explanation:
I believe that is it
Question 3 of 42
What is the y-intercept of the line y= { x-5?
y
O A. Ž
B. 5
C. - 1
D. -5
SUBMIT
Answer:
~Male Y/n here~ I believe your y-intercept would be D. -5.
(Hope this helps!)
Can somebody please help with this, I have been stuck on it for a while
Answer:
$2821.50
Step-by-step explanation:
value = 2700 (deposit) x 0.003 (rate) x 15 (time) + 2700
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$2700\\ r=rate\to 0.3\%\to \frac{0.3}{100}\dotfill &0.003\\ t=years\dotfill &15 \end{cases} \\\\\\ A=2700[1+(0.003)(15)]\implies A=2700(1.045)\implies A=2821.5[/tex]
The area of a rectangular piece of metal is 1,984 square centimeters. The perimeter is 188 centimeters. What are the dimensions of the piece?
Answer:
There are 2 options:
x = 32 cm and y = 62 cmx = 62 cm and y = 32 cmStep-by-step explanation:
That's a rectangular piece, therefore let's consider the width to be x and the length to be y.
A = width * length
1) A = x * y = 1,984 cm^2
P = 2 * (width) + 2 * (length)
2) P = 2x + 2y = 188 cm
Isolate x or y in one of the equations.
xy = 1,984 cm^2
y = 1,984 cm^2 / x
Now plug it in the second equation.
2x + 2y = 188 cm
2x + 2 * (1,984 / x) = 188
Now we have only one variable. Now just solve it alegebraically.
2x + (3,968 / x) = 188
Multiply both sides by x in order to get rid of the fraction.
[tex]2x^{2}[/tex] + 3968 = 188 x
Substract both sides by 188 x
2x^2 + 3968 - 188x = 0
Now divide by 2 to make the equation simpler.
x^2 - 94x + 1984 = 0
use the quadratic formula:
[tex]\frac{94 + \sqrt{(-94)^2 - 4(1)(1984)} }{2(1)} = 62\\\frac{94 - \sqrt{(-94)^2 - 4(1)(1984)} }{2(1)} = 32[/tex]
[tex]x1 = \frac{-b + \sqrt{b^2 - 4ac} }{2a} \\x2 = \frac{-b - \sqrt{b^2 - 4ac} }{2a}[/tex]
x is either 62 or 32.
let's find y:
y = 1,984 / x
y = 1,984 / 62 = 32
y = 1,984 / 32 = 62
There are 2 options:
x = 32 cm and y = 62 cmx = 62 cm and y = 32 cm
Solve | x - 6 | = 8
A: x = 14 and x = -14
B: x = 14 and x = -2
C: x = -14 and x = -2
D: x = -14 and x = 2
Answer:
B
Step-by-step explanation:
Answer:
x=-2 or x=14
Step-by-step explanation:
since it's absolute value, this actually has two equations:
x-6=8
and
x-6=-8
we solve x-6=8 by adding 6 to both sides which equals x=14
we solve x-6=-8 by also adding 6 to both sides which equals x= -8+6= -2
I hope this helps! and please mark brainliest!
three less than the product of two and a number y
can someone plssss translate that into a algebraic expression
plsss ill give you brainiac
Answer:
[tex]2y-3[/tex]
Step-by-step explanation:
It is saying to subtract 3 from the product of 2 and the variable, y.
a family makes gumbo to serve during jazz fest.the gumbo recipe requires twice as many cups of chopped tomatoes as diced onions.Which expression can be used to represent the number of cups of diced onions based on the number of cups of chopped tomatoes,t?
A) t^2
B)2+t
C) t÷2
D)2t
Answer:
D: 2t
Step-by-step explanation:
a coefficient next to a variable is an automatic multiplication equation
The solution is Option D.
The number of cups of diced onions A to the number of cups of chopped tomatoes t is represented by the equation A = 2t
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is given by
A = total number of cups of diced onions
Let the total number of cups of chopped tomatoes be = t
Now , the recipe requires twice as many cups of chopped tomatoes as diced onions
Substituting the values in the equation , we get
A = 2t
where A = number of cups of diced onions
t = number of cups of chopped tomatoes
Therefore , the value of A is 2t
Hence ,
The equation will be A = 2t where t is the number of cups of tomatoes
To learn more about equations click :
https://brainly.com/question/19297665
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Please help me solve this code. I gave all the info you would need.
Answer:
017012
Step-by-step explanation:
Domain:
0≤x≤17
Range:
0≤y≤12
Step-by-step explanation:
I guess your problem is understanding what is domain and range.
well, the domain is the interval or set of valid values for x for a function or curve.
the range is the interval or set of valid values for y (or function results) for a function or curve.
our function or curve here is the graph of a throw of a basketball.
that throw went continuously from 0 ft to 17 ft distance from the player.
and the height of the ball went continuously from 6 ft to 12 ft and then all the way down to 0 ft (on the floor).
as the graph shows : distance (or horizontal displacement) is our "x".
and the height is our "y".
so, the domain is
0 <= x <= 17
and the range is
0 <= y <= 12
and the code is then
0 17 0 12
A N A K
A manufacturer created the table below as part of a program aimed to reduce manufacturing costs. The table compares the cost y to the number of hats sold, x. which of the following statements below are supported by the data? select all that apply.
1. The slope is positive.
2. the slope is negative.
3. every additional hat produced results in a cost increase of $.60
4. every additional hat produced results in a cost increase of $6.00
5. before producing any hats, the manufacturing costs are $100.00
6. the cost of producing 75 hats is approximately $136.00
Using linear function concepts, it is found that the correct statements are given by:
1. The slope is positive.
3. every additional hat produced results in a cost increase of $.60.
What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.In this problem:
When the amount increases by 10, the cost increases by $6, hence the slope is of m = 6/10 = 0.6.The y-intercept is the amount of producing 0 hats, which is of b = 105 - 6 = 99.Hence statements 1 and 3 are correct.
More can be learned about linear function concepts at https://brainly.com/question/24808124
Answer:
A. The slope is positive.
C. every additional hat produced results in a cost increase of $.60.Step-by-step explanation:
E. Before producing any hats, the manufacturing costs are about $100.00.
Solve this system of equations
3x+3y+z =-18
x-3y+2z=15
8x-2y+3z=7
Find the equation of the line with slope m=53 that contains the point (−6,−12).
.................................................................................
Can you help me? PLEASE
Hello!
Let's simplify the expression
6-2x+5+4x
Combine like terms:
6+5-2x+4x
11+2x
And that's the final answer, because 11 and 2x are not like terms (and that's Tyler's error. He shouldn't have combined 11 and 2x.
This is the correct way to simplify:
6+5-2x+4x
11+2x
Hope everything is clear.
Let me know if you have any questions!
#NeverGiveUp
:-)
The fourth term of a geometric series is 10 and the seventh term of the series is 80. Find the sum to 10 terms of the series.
The geometric series with 4th term as 10 and 7th term as 80 has the sum of the first tenth terms as 1278.75.
How to find sum of terms in geometric series?aₙ = arⁿ⁻¹
where
a = first termr = common ration = number of termsTherefore,
10 = ar³
80 = ar⁶
Hence,
a = 10 / r³
80 = (10 / r₃) r⁶
80 = 10r³
r³ = 80 / 10
r = ∛8
r = 2
a = 10 / 2³
a = 10 / 8 = 5 / 4
The sum of 10 terms can be calculated as follows:
Sₙ = a(rⁿ - 1) / r - 1
Sₙ = 5 / 4 (2¹⁰ - 1) / 2 - 1
Sₙ = 5 / 4 (1024 - 1) / 1
Sₙ = 1.25(1023)
Sₙ = 1278.75
learn more on geometric series here: https://brainly.com/question/13592208
what scale factor is used to draw the longer trapezoid?
The number 1 is a common factor of _________.
A) all odd numbers
B) all even numbers
C) all whole numbers
Step-by-step explanation:
The number 1 is a common factor of C) all whole numbers
Answer:
C
Step-by-step explanation:
6 / 1 = 6. 5 / 1 = 5. every whole number is divisble by 1, even prime numbers.
Math I need help I with it if you can help me out
Answer: 49.44807
Round that however you need to. Unfortunately the rounding instructions on the screenshot are cut off, so I cannot see what that part says.
=======================================================
Work Shown:
sin(angle) = opposite/hypotenuse
sin(22) = h/132
h = 132*sin(22)
h = 49.44807
a student gets 11 out of 16 problems correct on a homework assignment. what percent of the assignment did the student get corret?. thanks if someone answers this
Answer:
68.75 Percent
Step-by-step explanation:
11/16 =0.6875
0.6875 into percent is 68.75
which list of fraction is in order from least to greatest value
Leslie’s puppy has 4 toys. Her cat has 36 toys.How many times more toys does the cat have than the puppy?
A.6
B.7
C8
D.9
1. For each diagram below, find the value of x
If x and y vary inversely, and x = 8 when y = 1/4, what is y when x = -4?
[tex]y \propto \dfrac 1x\\\\\implies y = \dfrac kx \\\\\implies \dfrac 14 = \dfrac k{8}\\\\\implies k=2\\\\\text{When}~ x =-4\\\\y = \dfrac{k}{x} = \dfrac{2}{-4}= -\dfrac 12[/tex]
Are the expressions shown below equivalent?
(3x+9)(x+2)
(3x + 6)(x+3)
Justify/Explain your answer in two different ways.
(Algebra 1) Please help!
Answer:
Yes, the expressions are equivalent.
Step-by-step explanation:
Expanding (3x + 9)(x + 2) gives us [tex]3x^2 + 15x + 18[/tex] which is the same as when you expand (3x + 6)(x + 3).
Answer:
(3x+9)(x+2)
step:3xx+3x2+9x+9x2
3x2+6x+9x+9x2
answer is 3x2+15x+18
step:3xx+3x3+6x+6x3
3x2+6x+6x3
answer is 3x2+15x+18
Step-by-step explanation:
#Carry on learning#
Help help help help help
Answer:
(-9, -6)
Step-by-step explanation: