Answer:
Angle C ∠C = 160.49°
side b = 0.522 m
side a = 17.34 m
Step-by-step explanation:
Given that;
In a Δ ABC,
∠A = 18.95°
∠B = 0.56°
∠C = ???
side A = ???
side B = ???
side C = 17.83 m
We are to determine the unknown missing sides and the angle.
We know that, the sum of angles in a triangle = 180°
∴
∠A + ∠B + ∠C = 180°
18.95° + 0.56° + ∠C = 180°
∠C = 180° - 18.95° - 0.56°
∠C = 160.49°
Using sine rule to determine the unknown sides. The sine rule can be expressed as:
[tex]\mathtt{\dfrac{sin \ A}{a} = \dfrac{sin \ B}{b} = \dfrac{sin \ C}{c} }[/tex]
To determine side b, we have:
[tex]\mathtt{ \dfrac{sin \ B}{b} = \dfrac{sin \ C}{c} }[/tex]
[tex]\mathtt{ \dfrac{sin \ 0.56^0}{b} = \dfrac{sin \ 160.49}{17.83} }[/tex]
[tex]\mathtt{ b (sin \ 160.49) = 17.83 (sin \ 0.56)}[/tex]
[tex]\mathtt{ b = \dfrac{17.83 (sin \ 0.56)}{(sin \ 160.49)}}[/tex]
[tex]\mathtt{ b = \dfrac{17.83 \times 0.0097737}{0.33397}}[/tex]
[tex]\mathtt{ b = \dfrac{0.174265071}{0.33397}}[/tex]
b = 0.522 m
For side a, we have
[tex]\mathtt{\dfrac{sin \ A}{a} = \dfrac{sin \ B}{b} }[/tex]
[tex]\mathtt{\dfrac{sin \ 18.95}{a} = \dfrac{sin \ 0.56}{0.522} }[/tex]
[tex]\mathtt{a \times sin \ 0.56 = 0.522 (sin \ 18.95)}[/tex]
[tex]\mathtt{a = \dfrac{0.522 (sin \ 18.95)}{ sin \ 0.56}}[/tex]
[tex]\mathtt{a = \dfrac{0.522\times 0.3247 }{ 0.0097737}}[/tex]
a = 17.34 m
How many gallons of a 60% antifreeze solution must be mixed with 70 gallons of 20% antifreeze to get a misture that is 50% antifreeze? Use the she-step method
Answer:
210 gaL 60 % Antifreeze IIStep-by-step explanation:
In the problem, there are two types of antifreeze
antifreeze I and
antifreeze II
antifreeeze I 20 ----70 gal
Antifreeze II 60 ----- x gal
Total 50 ---------------- (70 + x ) gal
20*70+60*x=50(70+x)
1400+60x=3500+50x
60x-50x=3500-1400
10x=2100
x= 210
x=210 gaL 60 % Antifreeze II
I need help with this
1. 12 -
Maria found the least common multiple of 6 and 15. Her work is shown below.
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, . . .
Multiples of 15: 15, 30, 45, 60, . . .
The least common multiple is 60.
What is Maria’s error?
the answer is IDK
Answer:
The Least Common Multiple is 3
Step-by-step explanation:
Maria's error was that she tried finding the largest multiple rather than the least.
Answer:
Step-by-step explanation:
Maria's error on this is the LCM is 30 not 60
the least is 30 not 60
is 7 < sqrt(65) < 8 true or false
Answer:
false
Step-by-step explanation:
sqrt(65) ≈ 8.06
Write the equation of the line that passes through the point (-2, 4) and has a slope of -1.
y = -1x + 2
Put the points in the slope equation to find (-1 as m, -2 as x, and 4 as y)
y = mx + b
4 = -1(-2) + b
4 = 2 + b
4 - 2 = b
2 = b
Final equation: y = -1x + 2
RS = 5x, ST = 3x, and RT = 48
What is RS?
Answer:
draw line and name it as R, S and T
then,
RS= 5x
ST=3x.... label it
now,
5x+3x=48
8x=48
x=6
RS=5x6=30
Step-by-step explanation:
RS Means is a division of Reed Business Information that provides cost information to the construction industry so contractors in the industry can provide accurate estimates and projections for their project costs.
The length of RS is 6 units.
It is required to find the length of RS.
What is line?A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.
Given:
RS= 5x
ST=3x
RT = 48
now,
RS+ST=RT
Substitute the value we get,
5x+3x=48
8x=48
x=6
RS=5x6
RS=30
Therefore, the length of RS is 6 units.
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Complete the equation.
(-1)^39=?
Answer:
-1
Step-by-step explanation:
The total number of minus signs is odd, so the product is negative.
(-1)^39 = -(1^39) = -1
Answer:
See below
Step-by-step explanation:
So for this one we can estimate
-1^1=-1
-1^2=1
-1^3=-1
............
And so on
The pattern shown here is that if it is odd then the answer is -1 and the answer is 1 if it is even
So think..
Is 39 odd or even?
39 is odd so the answer is -1
Also you can calculator it
PLEASE HELP ME OUT M
Answer:
what?
Step-by-step explanation:
A dekameter is best suited for measuring which distance?
Answer:
ten metres (please mark brainliest)
Step-by-step explanation:
A decametre (International spelling as used by the International Bureau of Weights and Measures), with American spelling dekameter or decameter,), symbol dam ("da" for the SI prefix deca-, "m" for the SI unit metre), is a unit of length in the International (metric) System of Units equal to ten metres.
Caitlin started with 18 stuffed animals and gave away x stuffed animals. Allie started with 30 stuffed animals and gave away three times as many stuffed animals as Caitlin did. How many stuffed animals did Caitlin give away, given they had the same number of stuffed animals left? 2 stuff animals 6 stuff animals 12 stuff animals 16 stuff animals
Answer:
6 stuffed animals
Step-by-step explanation:
If Caitlin gave away 6 stuffed animals, she is left with 12.
If Allie gave away three times as many as Caitlin, which would be 18, would leave her with 12.
The number of stuffed animals Caitlin gives away will be 6. Then the correct option is B.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Caitlin started with 18 stuffed animals and gave away x stuffed animals. Allie started with 30 stuffed animals and gave away three times as many stuffed animals as Caitlin did. Then the equations will be
y = 18 - x ...1
y = 30 - 3x ...2
From equations 1 and 2, then the value of x will be
18 - x = 30 - 3x
3x - x = 30 - 18
2x = 12
x = 6
The number of stuffed animals Caitlin gives away will be 6. Then the correct option is B.
More about the solution of the equation link is given below.
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Find the unit rate.
64 ounces in 4 cans
Answer:
16 ounces per can
Step-by-step explanation:
64/4 oz = 4/4 cans
16 oz = 1 can
The unit rate is 0.16 ounces per can.
Give the equation of the line through the point (14,6) with a slope of -9/7 in slope-intercept form
Answer:
Step-by-step explanation:
y - 6 = -9/7(x - 14)
y - 6 = -9/7x + 18
y = -9/7x + 24
I NEED THIS ASAP please. can someone please answer this question i put the picture its on Simplify Expressions im giving 15 points I will give bar i will give brainlist
Answer:
in step 4
Step-by-step explanation:
we have
[tex]0.5(-12c+6)-3(c+4)+10(c-5)\\\\step1=-12c(0.5)+6(0.5)-3(c+4)+10(c-5)\\\\=-6c+3-3(c+4)+10(c-5)\\\\[/tex]
so step 1 is correct
step 2
[tex]-6c+3-3(c+4)+10(c-5)\\\\=-6c+3+c(-3)+4(-3)+10(c-5)\\\\=-6c+3-3c-12+10(c-5)[/tex]
so step 2 is correct
step 3
[tex]-6c+3-3c-12+10(c-5)\\\\=-6c+3-3c-12+c(10)-5(10)\\\\=-6c+3-3c-12+10c-50[/tex]
so step 3 is correct
step 4
[tex]-6c+3-3c-12+10c-50\\\\=(-6c-3c+10c)+(3-12-50)\\\\=(-6-3+10)c+(-9-50)\\\\=(-9+10)c-59\\\\=c-59[/tex]
so step 4 is incorrect
To write the polynomial 5x^4 + 8x^5 – 2x + 3 in standard form, which term is the leading term?
Answer:8x^5 is the leading term
Step-by-step explanation:
Ken predicts that the average temperature will be −5°C in December. If he predicts the temperature will rise 6°C in January and fall 3°C in February, which of the following equations can he use to find the sum of the temperatures for those months? Check all that apply. [6 + 3] + 5 = 14 (–5) + [3 + 6] = –4 [(–5) + (–3)] + 6 = –2 5 + [(–6) + (–3)] = –4 [6 + (–5)] + (–3) = –2 [(–5) + 6 ] + (–3) = 4
Answer:
The equations [(-5) + (-3)] + 6 = -2 and [6 + (-5)] + (-3) = -2 he can use to find the sum of the temperatures for those months ⇒ 3rd , 5th
Step-by-step explanation:
i took the assignment
Answer:
C E
Step-by-step explanation:
88,352 rounded to the nearest ten
What is the value of the expression 5X minus Y when X equals three and Y equals one is it 14,10,7,0,
Answer:
14
Step-by-step explanation:
When x = 3 and y = 1,
5x - y works out to 5(3) - 1 = 14
solve the equation 8x-2(x+1)=2(3x-1)
Answer:
All that equals 0.
(Both sides are equal)
jenny solved the equation 1-(2x+4)=-4x+5 what her error
Step-by-step explanation:
1-(2x+4)= 1-2x-4= -2x-3
Y=x^4 function or not a function?
Answer:
y=x^4 is a function
Explanation:
A function is defined as given an equation, there should be only one corresponding, y value for any x value. In the table from the picture you attached, it is shown as for each x value, there is one corresponding y value. Therefore, x^4 is a function.
The given expression y = x⁴ is a function.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable. Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
A function is defined as given an equation, there should be only one corresponding, y value for any x value. In the table from the picture you attached, it is shown as for each x value, there is one corresponding y value.
Therefore, the given expression y = x⁴ is a function.
To know more about a function follow
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1. Find the length of the missing side. Round your answer to the nearest
tenth if needed. *
x
12
9
Answer:
x = 15Step-by-step explanation:
Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side x
Using Pythagoras theorem we have
a² = b² + c²
where
a is the hypotenuse
b and c are the other two sides
So we have
[tex] {x}^{2} = {12}^{2} + {9}^{2} \\ {x} = \sqrt{ {12}^{2} + {9}^{2} } \\ x = \sqrt{144 + 81} \\ x = \sqrt{225} [/tex]
We have the final answer as
x = 15Hope this helps you
3 people
9 granola bars
2
3 granola bars
Answer:
U need to copy and paste more of the question
Step-by-step explanation:
Start copy at the top go all the way to the bottem of the question and paste into brainly.
use ctrl c for copy and crtl v for paste
DIRECTIONS: EACH NUMBER IF 4 less than 3 TIMES THE PREVIOUS NUMBER.
Starting with the number 1, build a sequence of 5 numbers
Answer:
1, -1, -7, -25, -79
Step-by-step explanation:
n * 3 - 4
Since negative numbers multiplied with positive numbers make negative numbers, it decreases this time.
The sequence of 5 numbers for the given rule and inital number will be {1, -1, - 7, -25, -79}
What is arithmetic sequence?An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.
If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:
a, a + d, a + 2d, ... , a + (n+1)d, ...
Its nth term is
T_n = a + (n-1)d
(for all positive integer values of n)
Now we will use this formula to build the sequence;
A). Starting with the number 1, build a sequence of 5 numbers
n₂ = 3*(1) - 4 = -1
The third number will be:
n₃ = 3*(-1) - 4 = -3 - 4 = -7
The fourth number will be:
n₄ = 3*(-7) - 4 = -21 - 4 = -25
The fifth number will be:
n₅ = 3*(-25) - 4 = -79
Therefore, The sequence of 5 numbers for the given rule and inital number will be {1, -1, - 7, -25, -79}
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What is the value of the expression below when z=8 and w = 8
2z+7w
Answer:
72
Step-by-step explanation:
2(8) + 7(8)
16 + 56
72
4n − m + 3p + 2m − n − p
Answer:
=4n−m+3p+2m−n−p
=4n-n-m+2m+3p-p
=3n+1m+2p is the answer
Step-by-step explanation:
hope it help ^_^
When 40% of a number is added to the number, the result is 196.
What is the number?
Hey there! I'm happy to help!
Let's call this number n. We can now set up the following equation.
0.4n+n=196
We combine like terms.
1.4n=196
Divide both sides by 1.4
n=140.
Have a wonderful day! :D
I need help with this problem
Answer:
w= 12
Step-by-step explanation:
2w=24
divide both sides by 2
2w÷2. 24÷2
2w÷2 cancels each other so solve 24÷2
w= 12
x^3 = 125/27 simplify. a. 25/9 b. +- 25/9 c. 5/3 d+- 5/3
Answer:
C
Step-by-step explanation:
Step-by-step explanation:
x/3=125/27
x=125×1/27×3
Which choices are equivalent?
Answer:
Solution:
Given expression is .
Option A:
Hence is equivalent expression of .
Option B:
Hence is not equivalent expression of .
Option C:
(proved in option A)
Hence is equivalent expression of .
Option D:
Hence is not equivalent expression of .
Option E: 75
75 is a whole number.
Hence 75 is not equivalent expression of .
Option F:
(proved in option A)
Hence is equivalent expression of .
Therefore, are all equivalent expressions of .
Step-by-step explanation:
uh- i'm having quite a bit of trouble solving this one. "If Bella's total is $82, and she spends $56.70 on confetti for a party, (i know, wack stuff there.)-- and $24.40 on food for the party, how much will she have left over for deserts?"
Answer:
.9
Step-by-step explanation:
just subtract 56.7 from 82 and that difference by 24.4
Answer:
$0.90
Step-by-step explanation:
She starts with $82 and you subtract the $56.70 spent on confetti, and subtract $24.40 she spent on food.
$82.00 - $56.70 - $24.40 = $.90
She only has 90cents ($.90) to spend on deserts
