Answers
Answer:
b = 26.62
Step-by-step explanation:
You are given 2 sides and one angle. So the best option is to use cosine law.
[tex]b^{2} = a^2 + c^2 - (2ac)cos[/tex]θ
[tex]b^{2} = 26^2 + 11^2 - (2*26*11)cos30[/tex]
[tex]b^{2} = 708.77[/tex]
[tex]b = 26.62[/tex]
Related Questions
Julio has started his very own floral business. Center pieces 19.50 fixed cost $500 per month cost 8.00 to produce. If he sells 25 center peices to break even
Answers
Answer:The total cost, C, is the sum of the cost to produce the centerpieces and the fixed cost. The equation for C is C = 8n + 500.
The total revenue, R, of Julio's floral business is the product of the cost per centerpiece and the number of centerpieces sold. The equation for R is R = 19.50n.
Step-by-step explanation:
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 75 miles per hour. The westbound train travels at 85 miles per hour. How long will it take for the two trains to be 384 miles apart?
Do not do any rounding.
Answers
Let the time = x
Distance = Speed x time
One train is 75x, the other train 85x
Add together to equal total distance:
75x + 85x = 384
Simplify:
160x = 384
Divide both sides by 160:
x = 384 / 160
x = 2.4 hours
Camille buys $50 worth of books at Target. She has a coupon for 20% off her entire purchase. What is the total cost of the books after the coupon is applied?
Answers
Answer:
$40
Step-by-step explanation:
If something is 20% off divide the number by 5 then take that number and minus it from the original number
For example
50 ÷ 5 =10
50 - 10 = 40
I hope this helps!
Find the value of X URGENT!
Answers
Answer:
x=13
Step-by-step explanation:
45=3x+6
3x=39
x=13
Please help thank you
Answers
Answer:
B
Step-by-step explanation:
Increasing trials promotes the chance of reaching theoretical.
You are creating a model of the Gareway arch. You decide to use a scale of 1/2 yd=1/4in. The Gateway Arch is 310 yards tall. How tall will your model need to be?
Answers
Answer:
77.5
Step-by-step explanation:
Lisa bought bottles of soda for $2.50 each and a large pizza for $17. The total cost was $27. How many bottles of soda did Lisa buy?
A.
4
B.
3
C.
10
D.
6
Answers
Answer:
a
Step-by-step explanation:
27-17= 10$ 2.5 goes into 10 4 times
Are the two figures similar? If so, give the similarity ratio of the smaller figure to the larger figure.
Answers
Answer:
yes 1:2
Step-by-step explanation:
Set up the ratio
Cylinder(1) = 6.4:3.2
Cylinder(2) = 4:2
Is 6.4/3.2 = 4/2?
12.8 = 12.8!
So yes.
r(x)=2square root of x S(x)= square root of x (rs)(4)=
Answers
Answer:
[tex](rs)(4) = 8[/tex]
Step-by-step explanation:
Given
[tex]r(x) = 2\sqrt{x[/tex]
[tex]s(x) = \sqrt x[/tex]
Required
Determine [tex](rs)(4)[/tex]
In functions:
[tex](fg)(x) = f(x) * g(x)[/tex]
This implies that:
[tex](rs)(x) = r(x) * s(x)[/tex]
Substitute values for r(x) and s(x)
[tex](rs)(x) = 2\sqrt{x} * \sqrt{x}[/tex]
[tex](rs)(x) = 2(\sqrt{x})^2[/tex]
[tex](rs)(x) = 2x[/tex]
Substitute 4 for x
[tex](rs)(4) = 2 * 4[/tex]
[tex](rs)(4) = 8[/tex]
Slove for y
9/4y-12=1/4y-4
Answers
9/4y - 12 + 12 = 1/4y - 4 + 12
9/4y = 1/4y + 8
9/4y = 1/4y
/1/4y. /1/4y + 8
9y / 9 = 8 / 9
Y = 8/9.
How many solutions does the equation have? 2(x+3)=2x+6
Answers
Answer:
Infinitely Many Solutions
Step-by-step explanation:
Subtract 6 from both sides of the equation
2
Julie's manager proposes a new pay rate. The manager says that Julie can make her original pay rate for the first
hours she works each day and that for any hours over the first 8 in each day she will be paid double ber bourly
rate. Explain how you would find her weekly earnings using this method
Answers
Step-by-step explanation:
Because he always do that non sense thing by this true method and always shout it when they will go from their house
Trina had 50 eggs. After using some of her eggs to make 12 batches of brownies, she has 14 eggs remaining. How many eggs did Trina use in one batch of brownies?
Answers
Step-by-step explanation:
eggs used : 50-12= 38 eggs
[tex] \frac{38 \: eggs}{12 \: batches} = 3.1667eggs \: per \: batch[/tex]
9.66 rounded to 1 decimal place
Answers
Answer:
9.7
Step-by-step explanation:
When rounding 9.66 to one decimal place we use One Decimal Place Rule #2. Therefore, the answer to "What is 9.66 rounded to 1 decimal place?" is:
your answer would be 9.7
please mark brainelist!!!
If the surface of the water is at an elevation 0 meters, which person is located at an elevation
of -10 meters?
Noa, who is floating on his back in the water 10 meters behind a boat
Jace, who is exploring a cave that is 10 meters below the surface of the water
Marcus, who is swimming 10 meters below a bird flying overhead
Eleni, who is standing on a pier 10 meters above the surface of the water
Answers
Jace, who is exploring a cave that is 10 meters below the surface of the water is at - 10 meters.
What is elevation of - 10 meters ?Elevation of - 10 meters means we have to go down 10 meters.
According to the given question the surface of the water is at an elevation 0 meters, which person is located at an elevation of -10 meters.
- 10 meters means below 10 meters of the surface of the water.
Reading through options we observe that Jace, who is exploring a cave that is 10 meters below the surface of the water is -10 meter below the surface of water because, Water level it at 0 and the cave is below 10 meter to that so an expression can be formed as
0 - 10 = -10.
learn more about these type of problems here :
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The function h(t)= -16t2+ 8t+ 4 models the height of a ball over time as it bounces off the edge of a table.
Answers
Answer:
try 1/4
Step-by-step explanation:
In ΔVWX, v = 98 inches, w = 95 inches and x=26 inches. Find the measure of ∠X to the nearest 10th of a degree.
Answers
Answer:
15.4
Step-by-step explanation:
cos A = b^2 + c^2 - a^2 / 2bc
cos X = 98^2 + 95^2 - 26^2 / 2(98) (95)
cos X = 17953 / 18620
cos X = 0.964
X = cos^-1 (0.964) = 15.38 = 15.4
Help me find answer to this
Answers
Answer:
[tex]\angle B=41.81^\circ[/tex]
Step-by-step explanation:
Trigonometric Ratios
The ratios of the sides of a right triangle are called trigonometric ratios.
The longest side of the triangle is called the hypotenuse and the other two sides are the legs.
The sine ratio relates the opposite side of an angle of the triangle with the hypotenuse:
[tex]\displaystyle \sin B=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]
Here, the opposite leg to angle B is the side CA=2, and the hypotenuse is the side AB=3, thus:
[tex]\displaystyle \sin \angle B=\frac{2}{3}=0.667[/tex]
Calculating the inverse sine function:
[tex]\angle B=\arcsin (0.667)[/tex]
[tex]\boxed{\angle B=41.81^\circ}[/tex]
Please help...........
Answers
Answer:
x = 59.4°
Step-by-step explanation:
Reference angle = x
Side opposite to x° = 22
Adjacent side = 13
To find x, apply trigonometric ratio formula. Thus:
[tex] tan(x) = \frac{22}{13} [/tex]
[tex] x = tan^{-1}(\frac{22}{13}) [/tex]
[tex] x = 59.4 [/tex] (nearest tenth of degree)
a classroom is 2.8m high and has a volume of 182m3. calculate the floor area of the classroom
Answers
The area is the volume divided by the height.
Area = 182 / 2.8
Area = 65 square meters
Area of the classroom floor is equals to [tex]65m^{2}[/tex].
What is area?" Area is defined as the total space occupied by any two dimensional object."
Formula used
Volume of a cuboid = Length × width × height
Area of a classroom floor = length × width
According to the question,
Given,
Height of a classroom = [tex]2.8m[/tex]
Volume of a classroom =[tex]182 m^{3}[/tex]
Substitute the value in the formula of volume we get,
182 = Length × width × 2.8
⇒Length × width = [tex]\frac{182}{2.8}[/tex]
⇒Length × width =[tex]65m^{2}[/tex]
Therefore,
Area of the classroom floor =[tex]65m^{2}[/tex]
Hence, area of the classroom floor is equals to [tex]65m^{2}[/tex].
Learn more about area here
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so if x +3y =1 how do i plug it in to -x +2y =4
-x +3y=1-x
3y/3=1-x/3
y=1/3 - x/3
y=-1/3x +1/3
Then I have to plug x into the y= the fractions confuse me
Answers
If x + 3y = 1, then x = 1 - 3y.
Then in the second equation, replace x with 1 - 3y :
-x + 2y = 4
- (1 - 3y) + 2y = 4
-1 + 3y + 2y = 4
-1 + 5y = 4
5y = 5
y = 1 → x = -2
since x = 1 - 3•1 = 1 - 3 = -2.
Alternatively, you can instead solve for y in the first equation, so that if x + 3y = 1, you get
x + 3y = 1
3y = 1 - x
y = (1 - x)/3
Then replace y in the second equation:
-x + 2y = 4
-x + 2 ((1 - x)/3) = 4
-x + 2/3 (1 - x) = 4
Multiply both sides by 3 to get rid of the fraction:
-3x + 2 (1 - x) = 12
-3x + 2 - 2x = 12
-5x + 2 = 12
-5x = 10
x = -2 → y = 1
since y = (1 - (-2))/3 = (1 + 2)/3 = 3/3 = 1.
A large lemonade container at a party holds 9 liters of lemonade. About how many gallons of lemonade does the container hold? ( 1 liter=0.264 gallon )
Answers
it will be 2.4 gallons
Which statement is most likely to be true for this distribution?
A. The mean is the same as the median.
B. The mean is less than the median.
C. The mean is greater than the median.
Answers
Answer:
B. The mean is less than the median.
Step-by-step explanation:
Calculate the mean: 2.8
Calculate the median: 3
Therefore, the mean is less than the median.
Jake created a scale drawing of an airplane. In the scale drawing, the length of the airplane was 15 inches. The length of the actual airplane is 75 feet. What scale did Jake use to create the scale drawing of the airplane? A. 1 inch represents 15 foot A. 1 inch represents 1 over 5.... , foot, B. 1 inch represents 5 feet B. , 1 inch represents 5 feet, , , C. 5 inches represents 1 foot C. , 5 inches represents 1 foot , D. 5 inches represents 15 foot
Answers
Answer:
B. 1 inch represents 5 feet.
Step-by-step explanation:
15 X 5= 75
josie buys a scoop of dried cranberries and a scoop of dried bananas to make trail mix. The dried cranberries weight 8.5 ounces and cost $0.30 per ounce. The dried bananas weigh 10.5 ounces and cost $0.20 per ounce. How much does josie spend on the dried food
Answers
Answer:yes
Step-by-step explanation:
Consider the exponential function g(x) = 1,296x .
Find the output values for x-values x = –1.75, –1, –0.25, 0, 0.25, 0.50, 0.75, and 1.
Answers
Answer:
g(-1)=1/1296
g(.25)=1/6
g(0)=1
g(.25)=6
g(.50)=36
g(.75)=216
g(1)=1,296
:)
A certain alloy contains 14% tin and 32% copper. (The percentages are by weight.) How many pounds of tin and how many pounds of copper must be melted with 1750 lb of the given alloy to yield a new alloy containing 20% tin and 35% copper? Hint: Introduce variables for the weights of tin and copper to be added to the given alloy. Express the total weight of the new alloy in terms of these variables. The total weight of tin in the new alloy can be computed two ways, giving one equation. Computing the total weight of copper similarly gives a second equation.
Answers
Answer:
The answer is 10 I believe! A whole triangle is equal to 180 degrees so 180-70-60-60= -10. So we have to add 10 to equal it to zero. Hope this helped
Step-by-step explanation:
Graph
y + 4 = 2/5 (x − 3)
Answers
Answer:
Y= 2/5x - 23
Step-by-step explanation:
Firstly:
Move the 1/5 to the other side of the equation
So
5(y+4) =2(x-3)
Secondly:
Expand the brackets
5y +20 = 2x-3
Thirdly:
Solve
5y= 2x - 3-20
5y=2x-23. (Divide by five both sides)
Y= 2/5 x - 23 (Straight line graph)
To plot the graph:
First create a table of values
For x coordinates and y coordinates
Put the points in the graph and match
What is 3 1/4% of 500
Answers
Answer:
387500
Step-by-step explanation:
31/4/100×500
3100/4×500
387500
Solve for x: -3x + 3 < 6 (2 points)
a
x>-1
..
x <-3
Od
x>-3
Answers
Answer:
System of Linear equations. To find the quadratic functions f(x) = ax^2 + bx + c whose graphs contain the points (1,0) and (3,0) we can evaluate f at 1
Step-by-step explanation:
Answer:
Step-by-step explanation:
Here you go mate
Step 1
-3x+3<6 Equation/Question
Step 2
-3x+3<6 Simplify
-3x<3
Step 3
-3x<3 Divide
Answer
x>-1
Hope this helps