Answer:
15•4 mm
Step-by-step explanation:
using sine rule
a÷ sinA=c ÷sinC
15•4÷sin90=0•5÷sinC
sinC =0•5 × sin90 ÷ 15•4
C =1•9°
A+B+C= 180
90+B+1•9=180
B= 88•2°
b÷sinB = a÷sinA
b÷sin88•2= 15•4÷sin90
b=sin88•2 ×15•4 ÷sin90
b =15•39
to 1 dp
b =15•4 mm
The perimeter of rectangle of length 600 and breadth 350 is ___________
Answer:
950
Step-by-step explanation:
Not gonna lie I kinda stole yo answer other person deserves all the credit
35 is what percent of 56?
Answer:
19.6
Step-by-step explanation:
35% of 56
=35/100×56
19.6
hope this helps
pls brainliest!!!!!
Answer:
19.6 is the answer
Step-by-step explanation:
35%of 56
35/100×56
19.6 answer
expand o write an equavilent expression -1/4(-8x + 12y).
Answer:
[tex]2x-3y[/tex]
Step-by-step explanation:
Apply the distributive property by multiplying the outside to both terms on the inside:
[tex]-\frac{1}{4}[/tex] of -8x is equal to 2x
[tex]-\frac{1}{4}[/tex] of 12y is equal to 3y.
What is the midpoint of the line segment graphed below?
Answer:
The midpoint is 7/2 -9/2
Step-by-step explanation:
The formula for finding the midpoint of a line is
This means the formula for the x-coordinate of the midpoint is , and the formula for the y-coordinate of the midpoint is .
First, let's find the x-coordinate of the midpoint:
Add the two x values of the coordinates given, then divide that by two.
Next, let's find the y-coordinate of the midpoint:
Add the two y values of the coordinates given, then divide that by two.
Therefore, the midpoint of the line segment is . Hope this helps!
Select the correct answer.
A bicycle wheel company packages each wheel in a square box. Each wheel has a circumference of about 56.5 inches. What is the approximate length of each side of the box?
A.
81 in
B.
18 in
C.
24 in
D.
9 in
Answer:
the correct answer is B. 18 in
Graph the image of the given triangle after the transformation with the rule (x, y)→(x+3, y−5).
Select the "Polygon" button from the tool bar to plot your triangle. You may use the "Move" button to move the triangle after it is created.
Answer:
Step-by-step explanation:
what is e( f + g) as a distributive property and in expanded form?
How did you get the answer.
Does anyone know the answer? Pls help
Answer:
x = 24
Step-by-step explanation:
First, substitute x = -6y into the top equation:
-6y + 3y = 12
-3y = 12
Divide both sides by -3, and you get:
y = -4
Now, you plug in the y value to the second equation:
x = -6(-4)
x =24
Given :
[tex]{ \longrightarrow\qquad \sf x + 3y = 12 \: –––– \sf \: (i)}[/tex]
⠀
[tex]{ \longrightarrow\qquad \sf x = - 6y \: –––– \sf \: (ii)}[/tex]
⠀
(i) – (ii) we get :
⠀
[tex]{ \longrightarrow \qquad \sf \: {x + 3y -x = 12 - ( - 6y)}}[/tex]
⠀
[tex]{ \longrightarrow \qquad \sf \: { \cancel{x} + 3y \: \cancel{ - \: x }= 12 + 6y}}[/tex]
⠀
[tex]{ \longrightarrow \qquad \sf \: { 3y - 6y = 12 }}[/tex]
⠀
[tex]{ \longrightarrow \qquad \sf \: { - \: 3y = 12 }}[/tex]
⠀
[tex]{ \longrightarrow \qquad \sf {- \: y = \dfrac{12}{3} }}[/tex]
⠀
[tex]{ \longrightarrow \qquad \bf \: { y = - \: 4 }}[/tex]
⠀
Now, Substituing the value of y in equation (i) :
⠀
[tex] \longrightarrow \qquad \sf{x + 3( - 4)= 12}[/tex]
⠀
[tex] \longrightarrow \qquad \sf{x - 12= 12}[/tex]
⠀
[tex] \longrightarrow \qquad \sf{x = 12 + 12}[/tex]
⠀
[tex]\longrightarrow \qquad \bf{x = 24}[/tex]
⠀
Therefore,
The value of x is 24 .Someone please help me
Answer:
lemon pie is 7.5 and blueberry is 4.5
Step-by-step explanation:
Help please! Thank you!
Answer:
The answer would be x = 20. First, you must set up a proportion, since you know that the two polygons are similar: 12/48 • 5/x. Then, you have to do cross multiplication which would result in 12x = 240. Afterwards, you must divide both sides by 12, giving you x = 20.
The town of KnowWearSpatial, U.S.A. Operates a rubbish waste disposal facility that is overloaded if its 4749 households discard waste with weights having a mean that exceeds 27.21 lb/wk. For many different weeks, it is found that the samples of 4749 households have weights that are normally distributed with a mean of 26.86 lb and a standard deviation of 12.82 lb. What is the proportion of weeks in which the waste disposal facility is overloaded? P(M > 27.21) =
Answer:
0.48911
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/σ,
where x is the raw score, = 27.21 Ib
μ is the population mean = 26.86 lb
σ is the population standard deviation. = 12.82 lb
z = 0.027301
Probability value from Z-Table:
P(x<27.21) = 0.51089
P(x>27.21) = 1 - P(x<27.21) = 0.48911
The proportion of weeks in which the waste disposal facility is overloaded is
0.48911
A dessert has both fruit and yogurt inside.
Altogether, the mass of the dessert is 185g.
The ratio of the mass is 2:3.
What is the mass of the yoghurt?
Answer:
74g:148g
Step-by-step explanation:
If the yogurt portion is 3, then your answer is 148g.
You have a total of 5 portions (2+3=5). Since all portions must be equal, you can divide the total (185g) by 5. That means each portion is 37g each. To find the total weight of the yogurt, we multiply by the number of portions, either 2 or 3. That would be your result.
Amanda has a bookcase with 30 books. There are 3 shelves in the bookcase. Each shelf has the same number of books. How many books does each shelf have?
Answer:10 books per shelf
Step-by-step explanation:
30 books
3 shelves
30x3=10
10 books per shelf
-3=2+a/11
pls pls pls help
Answer:
a=-55
Step-by-step explanation:
-3=2+a/11
-3=1/11 a+2 simplify
flip
1/11 a+2=−3
1/11 a+2−2=−3−2 subtract 2
1/11 a=−5
11*(1/11 a)=(11)*(−5) multpily both sides by 11
a=-55
A car travels 60km/h and then a further 180km at 160km/h find the total time taken
Answer:
30
Step-by-step explanation:
Hi I am so not helpful do not use this answer
The cost of labor for servicing cars at B&B Automotive is $50 for each whole hour or for any fraction of an hour. There is a $25 additional charge to get the oil changed & fluid checked. What would be the cost of servicing a car that required 3.45 hours of labor if the owner requested that the oil be changed and the fluids be checked? a. $100 c. $225 b. $175 d. $250
Answer:
d. $250Step-by-step explanation:
We can use the equation of a straight line to model the cost of servicing the car.
let the cost be y and the number of hours be x
and the charge per hour is m
y=mx+c
y=50x+25
given that the time is 3.45 hours it is assumed that the charge is for 4 hours since for a fraction of 0.45 hours we are charged $50
y=50(4)+25
y=200+25
y=$225
HELP QUICKLY!!
10+(28-8)/4
Answer:
15Step-by-step explanation:
The order of operations is the key to solving this problem.
The PEMDAS acronym stands for:
Parenthesis
Exponents
Multiply
Divide
Add
Subtract
10+(28-8)÷4
First, solve parenthesis.
[tex]\sf{10+(28-8)\div4}[/tex]
[tex]\sf{28-8=20}[/tex]
Rewrite the problem down.
[tex]\sf{10+20\div4}[/tex]
Then, divide.
20/4=5
Rewrite the problem down.
10+5
Add.
[tex]\sf{10+5=\boxed{\sf{15}}[/tex]
So, the correct answer is 15.
I hope this helps you! Please let me know if my answer is incorrect.
Answer:
[tex]\displaystyle 15[/tex]
Step-by-step explanation:
[tex]\displaystyle Grouping\:Symbols \hookrightarrow G \\ Exponents, Indices, or\:Radicals \hookrightarrow E \\ Multiplication\:and/or\:Division \hookrightarrow M \\ Subtraction\:and/or\:Addition \hookrightarrow S \\ \\ 10 + (28 - 8) \div 4 \hookrightarrow 10 + 20 \div 4 \\ \\ \boxed{15} = 10 + 5[/tex]
By using GEMS, the result is fifteen.
I am joyous to assist you at any time.
find x with reason(s)
Answer:
Well we know this is a parallelogram
-A theorem states that if both opposite side of a quadrilateral (4 sided shape) are congruent then it’s a parrlelogram.
-We also know this is a rhombus becuase all sides are congruent and has no right angle present. A theorem to support this is, If two consecutive sides of a parallelogram are congruent, then the parallelogram is a a rhombus.
So we’re trying to find x.
A theorem states that “The diagonals of a rhombus bisects two angles of the rhombus.”
Bisect means cut in a way that both angles are equal.
That means the two angles given have to be equal to each other.
We can make an equation.
110-x = x
Now solve
2x= 110
X= 55
X would equal 55
x=55
70% of the shoes in the UK are made abroad. if you survey 120 people about the shoes they are wearing, how many do we expect to have UK-made shoes?
Answer:
84
Step-by-step explanation:
70% of 120= 84
PLZ HELP DUE IN 10
A 32-oz jug of orange juice may not contain exactly 32 oz of juice. The possibility of measurement error exists when the jug is filled in the factory. If the maximum measurement error isoz, write an absolute value in equality representing the range of volumes,x, in which the orange juice jug may be filled.
Answer:
If the maximum measurement error is at most 0.08 oz. , write and solve an absolute value inequality for the range of the possible number of ounces, Z, that can be in a jug of orange juice.
Simplify your answer and write it in interval notation.
Step-by-step explanation:
I will only give you that. I am so sorry that my response is this late love. If there was some way to receive your question, I would most definitely help you! I hope you did well on this problem!
=)
Which is equivalent to represent by the table
How many gallons of paint will you need in order to paint a wall that is 42 feet wide and 27 feet high if one gallon will cover 200 square feet?
Answer:42 x27
Step-by-step explanation:Calculate how much paint and primer you need by entering the dimensions of your room below. Estimate how many gallons are needed based on average paint/primer coverage. Optionally, include ceiling paint in your estimate.
The number of gallons that are needed will be 6 gallons.
The number of gallons of paint that will be needed in order to paint a wall that is 42 feet wide and 27 feet high if one gallon will cover 200 square feet will be:
= (27 × 42) / 200
= 1134 / 200
= 5.67
= 6 gallons.
Learn more about division on:
https://brainly.com/question/19127052
The total weight of 15
chairs is 45 pounds.
How many pounds
would 40 chairs weigh?
In the adjoining equilateral [tex] \triangle[/tex] ABC , AD ⊥ BC and AC = 2a units. Prove that sin 60° = [tex] \sf{ \frac{ \sqrt{ 3} }{2} }[/tex] .
Answer:
See Below.
Step-by-step explanation:
Since ΔABC is an equilateral triangle, this means that ∠A, ∠B, and ∠C all measure 60°.
Furthermore, all sides of the triangle measure 2a.
We know that AD⊥BC. Since this is an equilateral triangle, any altitude will be a perpendicular bisector. Therefore, BD = DC, ∠CAD = 30° and ∠C = 60°.
Additionally, the measures of the segments are: BD = DC = (2a) / 2 = a.
Let’s use the right triangle on the right. Here, we have that DC = a and AC = 2a.
Recall that sine is the ratio of the opposite side to the hypotenuse. Therefore, sin(C) or sin(60°) will be AD / AC. We can find AD using the Pythagorean Theorem:
[tex]a^2+b^2=c^2[/tex]
a is DC, b is AD, and c is AC.
Substitute in appropriate values:
[tex]a^2+(AD)^2=(2a)^2[/tex]
Solve for AD:
[tex]\displaystyle \begin{aligned} a^2+(AD)^2&=4a^2\\(AD)^2&=3a^2\\AD&=\sqrt{3a^2}=a\sqrt{3}\end{aligned}[/tex]
Sine is the ratio of the opposite to the hypotenuse:
[tex]\displaystyle \sin(C)=\sin(60\textdegree)=\frac{\text{opposite}}{\text{hypotenuse}}[/tex]
Substitute:
[tex]\displaystyle \sin(60\textdegree)=\frac{AD}{AC} = \frac{a\sqrt{3}}{2a}[/tex]
Simplify. Hence, regardless of the value of a:
[tex]\displaystyle \sin(60^\circ)=\frac{\sqrt3}{2}[/tex]
if I want a PlayStation for $300.00 and I get paid $10.50 a week how long would it take me to buy the PlayStation
Answer:
29 weeks or 4 months (not exactly)
Step-by-step explanation:
300/10.5 is 28.57
which 29 weeks, you earn 4 dollars and 50 cents left over
find the equation of the line. use exact numbers
Answer:
[tex]y = 0.5x + ( - 3)[/tex]
or
[tex]y = 0.5x - 3[/tex]
In ΔABC, m∠A = 112°, b = 8, and c = 14. Identify a rounded to the nearest tenth.
1. 13.3
2. 12.6
3. 19.0
4. 18.5
The triangle above can be solved using cosine rule, the value of a using cosine rule is approximately 18.5
The side can be found using cosine formula for triangles.
Cosine formulaa² = b² + c² - 2bc cos A
where
a = ?
b = 8 units
c = 14 units
Therefore,
a² = 64 + 196 - 2 × 8 × 14 cos 112
a² = 260 - 224 cos 112
a² = 260 + 83.9118769252
a = √343.9118769
a = 18.5448611993
a = 18.5
Therefore, the value of a is approximately 18.5
learn more on triangle here: https://brainly.com/question/7140765
Ian is trying to pick out an outfit for the first day of school. He can choose from 2 pairs of pants, 2 t-shirts, and 3 pairs of shoes. How many different outfits does Ian have to choose from?
Answer:
He has four outfits if he switches shirts once.
The radius of a circle is 65 centimeters.
Enter the circumference of the circle, in centimeters. Round your answer to the nearest hundredth.
circumference = 2 x pi x r
r = 65 cm
so C ≈ 2 x 3,14 x 65 ≈ 408,20
Answer: C=408.41 centimeters
Step-by-step explanation:
2 times pi times 65
130 pi
Approximately 408.41