Answer:
x = 22.1°
Step-by-step explanation:
Angle ∠A = 41.124° = 41°7'26" = 0.71775 rad
Angle ∠B = 22.075° = 22°4'31" = 0.38528 rad
Angle ∠C = 116.801° = 116°48'4" = 2.03856 rad
Divide the product of 22 and 27 =
HELP PLSSSSSSSSSSSSSSSSSSSSSSSSS
Bags of sugar come in 3 sizes.
Small bag: A 175 g bag costs 55p.
Medium bag: A 525 g bag costs £1.76.
Large bag: A 1.15 kg bag costs £3.51.
Find the cost per gram for each bag of sugar.
Round your answers to 3dp.
Answer:
The cost per gram for each bag is:
Small bag: 0.00314 £
Medium bag: 0.00335 £
Large bag: 0.00305 £
Step-by-step explanation:
Small bag:
If 175 g cost 0.55 £, 1 g will be:
[tex] \frac{1g*0.55 \£}{175\: g} = 0.00314 \£[/tex]
Medium bag:
If 525 g cost £ 1.76, 1g will be:
[tex] \frac{1g*1.76 \£}{525\: g} = 0.00335 \£[/tex]
Large bag:
If 1150 g cost £ 3.51, 1g will be:
[tex] \frac{1g*3.51 \£}{1150\: g} = 0.00305 \£[/tex]
I hope it helps you!
When converted to speeds, which list is in order from slowest to fastest?
17 miles in 2 minutes;
26 miles in 4 minutes;
33 miles in 6 minutes;
60 miles in 8 minutes
17 miles in 2 minutes;
60 miles in 8 minutes;
26 miles in 4 minutes;
33 miles in 6 minutes
33 miles in 6 minutes;
26 miles in 4 minutes;
60 miles in 8 minutes;
17 miles in 2 minutes
60 miles in 8 minutes;
33 miles in 6 minutes;
26 miles in 4 minutes;
17 miles in 2 minutes
You make $8.00 an hour for regular time and time and a half for every hour of overtime.
If you worked 40 hours of regular time and 5 hours of overtime, how much did you
earn?
Answer:
$380.00
Step-by-step explanation:
Regular time: $8.00 x 40 = $320.00
Overtime: (8 x 1.5) $12.00 x 5 = $60.00
Total: $380.00
last year, Nicole biked n miles. This year, she biked 524 miles. Using n, write an expression for the total number of miles she biked.
Answer:
n+524
Step-by-step explanation:
you add both years worth of biking together!
Translate the following phrases into mathematical statements.
r ) is less than or equal to ten.
s )is more than negative one
t ) isn't the same as negative
five.
x ) is at most negative three.
y )is never one.
Answer:
[tex]r \le 10[/tex]
[tex]s > -1[/tex]
[tex]t \ne 5[/tex]
[tex]x \le -3[/tex]
[tex]y \ne 1[/tex]
Step-by-step explanation:
Required
Translate to mathematical statements
a) r is less than or equal to ten.
less than or equal means [tex]\le[/tex]
So, the expression is:
[tex]r \le 10[/tex]
b) s is more than negative one
More than means >
So, the expression is:
[tex]s > -1[/tex]
c) t isn't the same as negative five.
isn't the same means not equal to ([tex]\neq[/tex])
So, the expression is:
[tex]t \ne 5[/tex]
d) x is at most negative three.
At most means [tex]\le[/tex]
So, the expression is:
[tex]x \le -3[/tex]
e) y is never one.
is never means not equal to ([tex]\neq[/tex])
So, the expression is:
[tex]y \ne 1[/tex]
a moving box in the shape of a right rectangular prism has a base area of 5 5/8 ft² and a height of 3 1/5 ft what is the volume of the moving box
Answer:
18 ft^3
Step-by-step explanation:
The volume of a right rectangular prism is the area of the base multiplied by the height.
V = Ah
V = (5 5/8 ft^2) * (3 1/5 ft)
First, we convert the mixed numerals into fractions.
V = 45/8 ft^2 * 16/5 ft
Now we multiply the fractions.
V = (45 * 16)/(8 * 5) ft^3
Factor 45 into 5 * 9. Factor 16 into 2 * 8.
V = (5 * 9 * 2 * 8)/(8 * 5) ft^3
We can divide the numerator and denominator by 5 and by 8 before doing the multiplications.
V = (9 * 2)/1 ft^3
V = 18 ft^3
A sound wave travels at 330m/s and has a wavelength of 2 m. calculate its frequency and period.
Answer:
frequency= 165Hz
period= [tex]\frac{1}{165}[/tex]
Step-by-step explanation:
1. To calculate the frequency using the formula:
f = v/λ
where,
f=frequency (what the question asked)
v=speed of wave (given in the question=330m/s)
λ=wavelength (given in the question=2m)
SO,
[tex]f=\frac{330}{2}[/tex]
= 165Hz
2. To calculate the period use the formula:
since [tex]f=\frac{1}{T}[/tex]
therefore, [tex]T=\frac{1}{f}[/tex]
where,
f= frequency (what we solved above=165Hz)
T= period (what the question asked)
SO,
[tex]T=\frac{1}{165}[/tex]
Identify the missing digit: 5_8x6-3528
Answer:
The missing digit is 8
Step-by-step explanation:
3528/6 = 588
Answer:
the missing digit is 8
Step-by-step explanation:
3528÷6=588.
^
Noah bought 3 cans of paint and 1/2 of a pint of special paint additive formulated to reduce mildew. Before painting his house, he divided the additive equally among the 3 cans of paint. How much additive did he put in each can?
Step-by-step explanation:
Amount of additive in each can
= Total amount of additive / Number of cans
= (1/2 of a pint) / (3)
= 1/6 of a pint.
Noah put 1/6 of a pint of additive in each can.
Factor out the greatest common factor from –12a – 8a2.
Question 3 options:
A)
–4a(3 + 2a)
B)
2a(6 – 4a)
C)
–2a(6 + 4a)
D)
4a(3 – 2a)
Answer:
A -4a(3 + 2a)
Step-by-step explanation:
-12a - 8a^2) factor out a -4
-4(3a + 2a^2) factor out an a
-4a(3 + 2a)
20 PTSS !!!
PLEASE HELPP !!
Because it is extremely hard to find the area of this figure all together, it would be in our best interest to split this figure up into three different pieces: the two horizontal rectangles, and the verticle rectangle. We can find the area of all three and add them up. Be aware that there are two different ways that you can break this figure up, As shown in the attachments. I will be using the first image (the one with the tall horizontal rectangles, NOT the almost-squares).
So, we see that we have enough information to solve for the area of the left-most rectangle. Area = lw. 10 x 4 = 40, so the area is 40. Next, we have to notice, that the horizontal rectangles are also the same, so both of the areas of the two horizontal rectangles are 40.
Now, we can find the middle rectangle. We know that the length of the entire thing is 18, but it is taken up by 8 (4+4) of the horizontal triangles, so 18-8=10, so the length Is 10. We also know that the height of the horizontal rectangles is 10, so 10-3=7. Our dimensions for the rectangle are 10x7 or 70 square units. If we add them all together, 40+40+70=150.
The area is 150 square units
Ulani is constructing a triangle that has sides measuring 12 cm and 28 cm. Which measurements could be the length of the third side? Select two options.
15 cm
24 cm
38 cm
41 cm
53 cm
Answer:
B and C
Step-by-step explanation:
Find the quotient. Answer as a decimal.
–6 ÷ 1
1
3
3
1
Answer:
≈ -0.0005
Step-by-step explanation:
which equation is equivalent to
y + 2(x + 5) = 4x + 5
a) y = 2x + 20
b) y = -4x + 5
c) y = 2x - 5
d) y = 5x + 2
Answer:
C
Step-by-step explanation:
y + 2x + 10 = 4x + 5
y = 4x - 2x + 5 - 10
y = 2x - 5
Answer- C
7/3 into a mix number
Answer: 2 1/3
Step-by-step explanation:
Answer and Step-by-step explanation:
To turn [tex]\frac{7}{3}[/tex] into a mixed number, we see how many times 3 goes into 7.
3 goes into 7 two times, so we put a two on the outside.
[tex]2\frac{1}{3}[/tex]
^ This is your answer, cause when you do 3 times 2, plus the numerator (1), you get 7.
#teamtrees #WAP (Water And Plant)
Does side lengths 4, 8 and 12 form a right triangle?
Answer:
No it does not form a triangle.
Step-by-step explanation:
If the lengths satisfy the Pythagorean Theorem (a2+b2=c2) then it is a right triangle.
the area of a rectangle is 18cm square. what coul it dimension be?
P=a*b
a=P/b
a=18/b
Pairs of the solution (only integer numbers):
b=9, a=2
b=2, a=9
b=6, a=3
b=3, a=6
b=18, a=1
b=1, a=18
An 18 fluid ounce bottle of lotion costs $10.99, what is the price per fluid ounce?
Answer:
$0.61 per fluid ounce
Step-by-step explanation:
$10.99 / 18 = $0.61 per fluid ounce
an isosceles triangle has congruent sides of 20 cm. the base is 10 cm. Find the height of the triangle. Round to the nearest tenth. (Pythagorean theorem)
Answer:
The height of the triangle would be
5
√
15
c
m
or
19.36
c
m
Step-by-step explanation:
An art teacher gives a total of 35 pounds of clay to her students. She gives each of her 16 students the same amount of clay. How many pounds of clay does each student get?
Please write it as a fraction.
Answer:
35/16
Step-by-step explanation:
Answer:
2.1875
Step-by-step explanation:
35/16=2.1875
2.1875 pounds
3x + 7x - 8 = -19
can someone please help me with this math problem
Answer:
x= -1.1
Step-by-step explanation:
first combine like terms
3x+7x=10x
10x-8=-19
+8 on both sides
10x= -11
divide by 10
x= -1.1
check the answer
10(-1.1)-8= -19
-11-8= -19 its true
Find the value of xxx in the triangle shown below
Question: Find the value of xxx in the triangle shown below
Answer: Pg.21607062
Brainly.com
2-19-21
Answer:
x = 70
Step-by-step explanation:
a town has a population of 70,230 in the year 2020. Over the next five years, 6556 people move into the town for work, but 4096
Answer:
63,674
Step-by-step explanation:
70,230-6556
=63,674
If a restaurant purchases organic food there is a 66% chance it will go bankrupt. If a restaurant does not purchase organic food there is a 64% chance it will go bankrupt. Only 12% of businesses purchase organic food. When a restaurant goes bankrupt what is the probability it purchased organic food
Answer:
0.1233 = 12.33% probability it purchased organic food
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Goes bankrupt
Event B: Purchase organic food.
Probability it goes bankrupt:
66% of 12%(purchases organic food)
64% of 88%(dont purchase organic food).
So
[tex]P(A) = 0.66*0.12 + 0.64*0.88 = 0.6424[/tex]
Intersection of A and B:
Bankrupt when purchases organic food. So
66% of 12%
[tex]P(A \cap B) = 0.66*0.12 = 0.0792[/tex]
When a restaurant goes bankrupt what is the probability it purchased organic food
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0792}{0.6424} = 0.1233[/tex]
0.1233 = 12.33% probability it purchased organic food
what is the equation of a straight line that is parallel to the line 4y=3x+5
Answer:
4y+5=3x, 4 y + 5 = 3 x .
Step-by-step explanation:
Please give thanks to all my answers and please mark as brilliant and please follow me
Step-by-step explanation:
hope it's going to work ☺How to do 5x+2=52? ME GIVE BRAIN DO IT NOWWWWW
Hi there!
52 subtract by 2 is 50 and then dividing by 5 would be 10.
So x would be 10.
True or false
what is always true about an isosceles triangle
1.one of the angles is 90 degrees
2.at least two angles are congruent
3.all of its sides are congruent
4.at least two sides are congruent
5.all of its angles are congruent
What is the equation for the line of reflection?
x=6
hopefully im not wrong^^