Answer:
11.6
Step-by-step explanation:
The length of f of the triangle is f = 11.7 cm
What is Law of Cosines?The Law of Cosines is a mathematical formula used to find an unknown side or angle of a triangle, given the lengths of the other two sides and the angle opposite the unknown side. It is also known as the Cosine Rule.
The Law of Cosines states that for any triangle with sides a, b, and c and angle C opposite side c, the following equation is true:
c² = a² + b² - 2ab cos(C)
where cos(C) is the cosine of angle C. This formula can be rearranged to solve for any of the variables, depending on which values are known.
Given data ,
Let the triangle be represented as ΔEFG
And , the measures of the sides of the triangle are
g = 4.3 cm
e = 9.1 cm
And , measure of angle ∠F = 116°
where c² = a² + b² - 2ab cos(C)
On simplifying , we get
a² = c² - b² + 2abcos ( C )
78.26 ( cos 116° ) - 4.3² - 9.1² = f²
f² = 135.7344
Taking square roots on both sides , we get
f = 11.7 cm
Hence , the length is f = 11.7 cm
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- 5x + 9y = - 32
-5x - 3y = 4
Answer: look at the picture
Step-by-step explanation: Hope this help :)
Can someone help ? I dont understand this
Answer:
4854
Step-by-step explanation:
2=434344=3
[46664792)
Answer:
31°
Step-by-step explanation:
The angle 59° will be equal to the angle c in triangle ABC.
Angle B will be 90°
Angle A + Angle B + Angle C = 180° (ASP)
Angle A + 90° + 59 ° = 180 °
Angle A = 180° - 90° - 59°
Angle A = 31°
Angle A = x
31° = x
A circle is drawn inside a square so its circumference touches each of the four sides of the
square. If the area of the circle is 125.8cm2 calculate the length of the sides of the square.
Answer:
12.66 cm
Step-by-step explanation:
Area of the circle = 125.8 Sq cm
[tex] \therefore \: \pi {r}^{2} = 125.8 \\ \\ \therefore \: 3.14 \times {r}^{2} = 125.8 \\ \\ {r}^{2} = \frac{125.8}{3.14} \\ \\ {r}^{2} = 40.0636943 \\ \\ {r} = \sqrt{40.0636943} \\ \\ r = 6.32958879 \\ \\ r \approx \: 6.33 \: cm \\ \\ d \: = 2r \\ \\ d = 2 \times 6.33 \\ \\ d = 12.66 \: cm \\ [/tex]
Diameter of the circle = 12.66 cm
Since, circumference of the circle touches each of the four sides of the square.
So, length of the sides of the square
= diameter of the circle.
= 12.66 cm
Determine the value of the expression
Charlotte is making a scrapbook. She needs a piece of ribbon that is 3/4 ft long. What is that fraction written as a decimal?
Four basketballs and six baseballs cost $44. Five basketballs and four baseballs costs $48. Determine the cost for one basketball and one baseball.
Answer:cost for basket ball= $8 and
cost of baseball = $2
Step-by-step explanation:
Step 1
Let the cost of basket ball be represented as x
and cost of baseball = y such that
Four basketballs and six baseballs cost $44 will be expressed as
4x+ 6y= 44 --- eqn 1 also
Five basketballs and four baseballs costs $48 will be expressed as
5x+ 4y= 48--- eqn 2
Step 2
Having obtained two expressions we can now sole
4x+ 6y= 44 --- eqn 1
5x+ 4y= 48--- eqn 2
multiplying eqn 1 by 5 and eqn 2 by 4
20x+ 30y =220---- eqn 3
20x+ 16y=192-----eqn 4
subtracting equation 4 from 3 we now have
14y=28
y= 28/14
y=2 = $2
from equation 1
4x+ 6y= 44, putting the value of y=7 to find x
4x+ 6(2)= 44
4x+12= 44
4x= 44-12
4x=32
x= 32/4
x=8=$8
cost for basket ball= $8 and
cost of baseball = $2
At the carnival, it costs $10 to enter. It then costs $1.50 per ride you go on.
If you have $28, how many rides can you go on? *
1 point
Answer:
18.6
Step-by-step explanation:
28 divided by 1.50 equals 18.6
The number of rides will be equal to 12 in the Carnival.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that at the carnival, it costs $10 to enter. It then costs $1.50 per ride you go on. The total amount is $28.
The number of rides will be calculated by forming an equation below,
A = 10 + 1.5R
28 - 10 =1.5R
1.5R = 18
R = 18 / 1.5
R = 12
Therefore, the number of rides will be equal to 12 in the Carnival.
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Which set of ordered pairs represents a function?
{(-8, 1), (5. –7),(-6,9), (-6, -9)}
o{(-2,-3), (2, 1), (2,6), (4,9)}
o{(8,4), (6,4), (9,1),(7-6)}
o{(-4,5),(0,0), (2, -8), (2,0)}
Answer:
o{(8,4), (6,4), (9,1),(7-6)}
Step-by-step explanation:
Every x value can only have one y value
Evaluate each expression if: a = 5, b = 3, and c = 4.
4) 6a-4b5)
I
Answer:
-30
Step-by-step explanation:
Simply substitute the values in for the variables:
6(5) - 4(3)(5) ~ parentheses indicate multiplication in this case
30 - 60 = -30
Which expression is equivalent to 5 ( x + 8)?
Answer:
your answer is (B) 5x-0.4
Step-by-step explanation:
The equivalent expression for the given function is -
y = 5x + 40.
What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is the expression -
5(x + 8)
We can write the equivalent expression for the given function is -
y = 5(x + 8)
y = 5x + 40
Therefore, the equivalent expression for the given function is -
y = 5x + 40.
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A diagram of a swimming pool is shown.
3.5 m
What is the approximate circumference of the swimming pool? Use 3.14 as an estimate for t.
Answer:
10.99
Step-by-step explanation:
Your pretty much just multiplying the number by 3.14, so 3.5*3.14=10.99. Hope this helps!
Answer:
Answer B 11m
Step-by-step explanation:
idrk an easy way to solve this lol
Answer:
math math math ;D
Step-by-step explanation:
afdgdfgdagf
The nth term of a sequence is given by 3n + 7.
Write down the fifth term of this sequence.
I
Graph the relation. Is the relation a function? Why or why not?
{(-5, 6), (-2, 3), (3, 2), (6, 4)}
Yes; there is only one domain value for each range value.
Yes; there is only one range value for each domain value.
No; a domain value has two range values.
No; a range value has two domain values.
Answer:
Yes; there is only one range value for each domain value.
Step-by-step explanation:
For a relation to be a function, every input, x-value, needs to have a unique output, y-value. This means that one x-value cannot have multiple y-values. So, in a function x-values will never repeat. Since x-values do not repeat in this relation, it is a function.
The expression 3(-2m + 5) - 6(-4m - 2) can be written in the form am + b. What is the value of a + b?
Answer: 45
Step-by-step explanation:
3(-2m + 5) -6(-4m - 2) =
-6m + 15 + 24m + 12=
18m + 27
18= a 27= b 27 + 18= 45
The value of the expression a + b is 45.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
First, we can simplify the expression using the distributive property:
3(-2m + 5) - 6(-4m - 2) = -6m + 15 + 24m + 12
Combining like terms, we get:
18m + 27
So, a = 18 and b = 27, which means:
a + b = 18 + 27 = 45
Therefore,
The value of a + b is 45.
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I NEED HELP REALLY FAST!!
Which of the following is a monomial?
A. 20x11 - 3x
B. 11X-9
C. 20x11
Answer: A
Answer: the answer is c : 20x^11
Step-by-step explanation:
Trigonometric Ratios and Unit Circles.
See Image Below.
Answer:
irudiwhiwhs swsw is d
Step-by-step explanation:
8349240 is your aswr 213
Please help out if you can-!
Answer:
the answer is 0.89
Step-by-step:
the first boxes under 62 will be 56
the second box under 56 will be 63
the 3rd boxes will be will be 63
the very top boxes will be 0.89
Solve the system of linear equations by substitution.
y = -2x + 10
y = x +1
Step-by-step explanation:
y=14
y=1
thats the answer.
A housekeeper had 3/7 of a spray bottle of a cleaning solution. Used 1/9 of the solution in a day . How much of the bottle did she use
Answer:
27/7 or 3 6/7
Step-by-step explanation:
3/7 divided by 1/9 = 27/7
rounded to 3
Have a nice day
The 0.317 spray bottle did she us.
It is required to find how much of the bottle did she use.
What is fraction?A fraction having whole numbers for the numerator and denominator. A fraction is a number of the form: ab where a and b are integers and b≠0. It represents the division of two numbers.
Given:
We know that total =1
For a cleaning solution=3/7 of a spray bottle
Used=1/9
According to given question we have,
Subtract the fractions
3/7 - 1/9
Calculate the difference,
=20/63
=0.317
Therefore, the 0.317 spray bottle did she us.
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If your good at math please help me with this question
Answer:
546
Step-by-step explanation:
The lateral area is made up of 4 faces that do not includes the bases.
2 faces have dimensions 2.5 ft by 21 ft.
2 faces have dimensions 10.5 ft by 21 ft.
LA = 2 * 2.5 ft * 21 ft + 2 * 10.5 ft * 21 ft
LA = 105 ft^2 + 441 ft^2
LA = 546 ft^2
Answer: 546
Answer:
493.5
Step-by-step explanation:
to find the surface of the prisim you multiply the perimeter of the base by the height of the prism.
Find the missing side length.
12
15
Answer:
you need to show the shape or somet or else I can't rlly help
Answer:
If the hypotenuse is 15 and one of the sides is 12, the answer is 9.
If these are the side lengths, the hypotenuse is square root of 369, which is about 19.21
Step-by-step explanation:
6. Draw the graph of the linear equation 3x - y = 3. Hence find the
coordinates of the point where the graph intersects y-axis.
Answer:
(0,-3)
Step-by-step explanation:
pls help me it’s due today
Answer:
2. Obtuse
3. Right
Step-by-step explanation:
Answer:
2 is obtuse 3 is right
Step-by-step explanation:
i've done this before
solve the equation log2 x - 1/2 * log2 (x + 1) = 1
Answer:
0
Step-by-step explanation:
Help me plssssss I need help
Choose the number line that represents the equation, 2/6 + 3/6 + 2/6 = 7/6
Answer:
B
Step-by-step explanation:
I hope this helped, please do tell me if the answer is wrong I will fix it with explanation check!
can someone help me wit dis?
Answer:
2
Step-by-step explanation:
1. Which situation could be represented by y = 4x + 7?
a student started with $4 and saved $7 per week.
A package costs $7 plus $4 per pound to ship.
A skateboard weighs 4 pounds plus 7 ounces.
A recipe calls for 7 cups of flour and 4 cups of sugar.
2. What is the equation of the line through (5,8) and (2,2)?
y = 2x + 2
y = 2x - 2
y = 5x - 8
y =8x - 5
3. The slope of a line is -1/3 and the y-intercept is 3. What is the equation of this line?
y = 1/3 + 3
y = -1/3 + 3
y = 3x - 3
y = 3x - 1/3
4. What is the equation of the line that has a slope of 2 and goes through (3,7)?
y = 2x + 3
y = 1/2x + 7
y = 2x + 1
y = -2x + 1
5. Sammy is saving up to buy a PS5 plus. He has $40 and will save $60 per week. Which equation represents this situation?
1 point
y = 40x + 60
y + 60x + 40
y = 60x - 40
y = 40x - 60
6. Sammy is saving up to buy a PS5 plus. He has $40 and will save $40 per week. How long will it take Sammy to save the money if the PS5 plus costs $600?
11 weeks
12 weeks
13 weeks
14 weeks
7. Steph made $360 working 30 hours last week. Sam made $195 working 15 hours last week. Who made more per hour?
Steph
Sam
Answer:
B, A package costs $7 plus $4 per pound to ship. B, y = 2x - 2 B, y = -1/3x + 3 C, y = 2x + 1 B, y = 60x + 40 D, 14 weeks (600 = 40 + 40x)Sam, ($13hr)i hope this helps, good luck :)
