Answer:
16 km is the answer
Step-by-step explanation:
a (Colton to parents' house) = 12 km
b = ?
c (parents' house to grandparents' house) = 20 km
According to the Pythagoras theorem,
a² + b² = c²
12² + b² = 20²
144 + b² = 400
b² = 400 - 144
b² = 256
b = 16
∴ Colton is 16 km away from his grandparents' house.
Surface area is always measured in square units. True False
Answer:
The answer is True.
Answer:
True
Step-by-step explanation:
Area is always measured in square units, also including surface area
Malala is following this recipe for bread rolls.
She uses 400 g of flour.
How much of each of the other ingredients does she use?
Recipe: Makes 15 bread rolls
500 g flour
10 g salt
8 g yeast
30 mL oil
350 mL water
Answer:
Salt = 8 g
Yeast = 6.4 g
Oil =24 ml
Water = 280ml
Step-by-step explanation:
[tex]Salt = \frac{10}{500}*400 = 2*4 = 8[/tex]
[tex]yeast =\frac{8}{500}*400= \frac{32}{5}=6.4[/tex]
[tex]Oil =\frac{30}{500}*400=6*4=24 ml[/tex]
[tex]Water = \frac{350}{500}*400=70*4=280 ml[/tex]
Sin 17° cos 13° + cos 17° sin 13°
Answer:
.5
Step-by-step explanation:
Sin(x)cos(y) + cos(x)sin(y) = sin(x+y)
sin(17+13) = 1/2
HELP ON HOMEWORK PLS
Answer:
∠LPN = 57°
Step-by-step explanation:
arc LMN = 360° - 102° - 144° = 114°
∠LPN = 114°/2 = 57°
What is 9 1/2 plus 12 11/20
Answer:
[tex]22\frac{1}{20}[/tex]
Step-by-step explanation:
mark me Brainllest
Answer:
Exact Form: 441/20
Decimal Form: 22.05
Mixed Number Form: 22 1/20
Find the bearing of the ship. Round to the nearest tenth of a degree if necessary.
9514 1404 393
Answer:
117°
Step-by-step explanation:
We assume you want to report your bearing as an angle measured CW from North. For conventional angles greater than 90°, it will be ...
450° -angle = 450° -333° = 117°
The bearing of the ship is 117°.
The mean age at which the population of babies first stand without support is normally distributed with a mean of 13.20 months with a standard deviation of 2.00 months. What is the probability of randomly selecting a sample of 25 children who stood on their own by the average age of 12.2 months or earlier
Answer:
0.00621
Step-by-step explanation:
We solve the above question using the
Z score formula. This is given as:
z = (x-μ)/σ/√n
where
x is the raw score = 12.20 or earlier
This means x ≤ 12.20
μ is the population mean = 13.20
σ is the population standard deviation = 2
n is the random number of samples = 25
z = 12.2 - 13.2/2/√25
z = -1/2/5
z = -1/0.4
z = -2.5
Probability value from Z-Table:
P(x≤ 12.2) = 0.0062097
Approximately = 0.00621
Therefore, the probability of randomly selecting a sample of 25 children who stood on their own by the average age of 12.2 months or earlier is 0.00621
Bryan and Jadyn had barbeque potato chips and soda at a football party. Bryan ate 4 oz of chips and drank 1 cup of soda for a total of 600mg of sodium. Jadyn ate 1 oz of chips and drank 4 cups of soda for a total of 300mg of sodium. How much sodium is in 1 oz of chips and how much is in 1 cup of soda?
Answer:
1 oz of chips has 140 mg of sodium, and 1 cup of soda has 40 mg of sodium.
Step-by-step explanation:
This question is solved by a system of equations.
I am going to say that:
x is the amount of sodium in 1oz of chips.
y is the amount of sodium in 1 cup of soda.
Bryan ate 4 oz of chips and drank 1 cup of soda for a total of 600mg of sodium.
This means that [tex]4x + y = 600[/tex], also [tex]y = 600 - 4x[/tex]
Jadyn ate 1 oz of chips and drank 4 cups of soda for a total of 300mg of sodium.
This means that:
[tex]x + 4y = 300[/tex]
From the first equation, we have that [tex]y = 600 - 4x[/tex]. So
[tex]x + 4(600 - 4x) = 300[/tex]
[tex]x + 2400 - 16x = 300[/tex]
[tex]15x = 2100[/tex]
[tex]x = \frac{2100}{15}[/tex]
[tex]x = 140[/tex]
[tex]y = 600 - 4x = 600 - 4*140 = 40[/tex]
1 oz of chips has 140 mg of sodium, and 1 cup of soda has 40 mg of sodium.
Please can anyone answer this question
I have this trigonometry worksheet, I just need help with questions from 18 to 28. thanks :)
10 POINTS FOR THE CORRECT ANSWER PLEASE HELP ME
Answer:
x = 10
Step-by-step explanation:
I made a right triangle with a leg of 6 (7-1), base of 7, and hypotenuse of 'x' and then used the pythagorean theorem:
6² + 8² = x²
100 = x²
x = √100
x = 10
what is an expression that IS NOT greater than 1/4
Answer:
1/5, 1/6, 1/7 is expressions not greater than 1/4
Step-by-step explanation:
If f(x) = 2x+3 and g(x) = x^2 + 1, find f(g(3)).
Answer:
23
Step-by-step explanation:
g(3) = 3²+1 = 10
f(g(3)) = 2(10) + 3
= 23
The figure is the net for a rectangular prism. What is the surface area of the rectangular prism represented by the net?
Answer:
Solution given:
net surface area=9×(3+5+3+5)+2(3×5)=174in² is your answer.
TSA
2(LB+BH+LH)2(5×3+3×9+5×9)2(15+27+45)2(42+45)2(87)174in²Which of the following expressions is equivalent to (13 + 2) (13 - 2)?
a. 152 +112
b. 15² – 11²
c. 132 +22
d. 132 - 22
Answer:
d. 13^2 - 2^2
Step-by-step explanation:
The product of a sum and a difference is a difference of squares.
(13 + 2)(13 - 2) = 13^2 - 2^2
Answer: d. 13^2 - 2^2
Which of the following would be a possible alternate hypothesis for this null hypothesis?
Null Hypothesis: A 32 oz bag of chips contains at least 32 oz of chips.
a - A 32 oz bag of chips contains exactly 32 oz of chips.
b - A 32 oz bag of chips contains less than 32 oz of chips.
c - A 32 oz bag of chips might contain cookies instead.
d - One time, my buddy ate a whole 32 oz bag of chips.
Answer:
B
Step-by-step explanation:
Makes the most since
What is the average rate of change for this exponential function for the
interval from x = 0 to x = 2?
A. -1.5
B. -4
C. 1.5
D. 4
Answer:
C i hope it helps
have a good night
Please help me ASAP please
Answer:
Step-by-step explanation:
the first sounds like J/9=5, which in an equaiton could be written as 5=j/9.
Then to solve for j you can multiply both sides by 9. This would create j=45. Hopefully this is helpful!
Answer:
[tex]\frac{j}{9}[/tex] = 5 is the equation, j = 45 is the answer.
Step-by-step explanation:
J divided by 9 is 5.
[tex]\frac{j}{9}[/tex] = 5.
Multiply by 9 to find the answer.
j = 5 * 9
j = 45.
PLEASE ANSWER ASAP FOR BRIANLEST DUE IN 3 MIN!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: 3rd one
Step-by-step explanation:
Based on the Nielsen ratings, the local CBS affiliate claims its 11:00 PM newscast reaches 41% of the viewing audience in the area. In a survey of 100 viewers, 36% indicated that they watch the late evening news on this local CBS station. What is the Alternate hypothesis
Answer:
Alternative Hypothesis:H₁: μ ≠ 0.41
Step-by-step explanation:
Step(i):-
Given that the newscast reaches 41% of the viewing audience in the area
The mean of the Population = 0.41
Given that In a survey of 100 viewers, 36% indicated that they watch the late evening news on this local CBS station
Given that the mean of the sample = 0.36
Step(ii):-
Null hypothesis: The sample statistic does not differ significantly from the hypothetical parameter value.
Given data
Null hypothesis: H₀ : μ = 0.41
Alternative Hypothesis: Any hypothesis which is complementary to the Null hypothesis
Alternative Hypothesis:H₁: μ ≠ 0.41
X = {1,3,5,7)
Y = {13,57}
Which of the following is the set XnY?
Answer:x is a letter in music.} 3. Determine whether each set is well-defined. If it is not well-defined, explain why, ... true (e) {1, 3, 5, 7, 9) = {1, 5, 9, 3, 7) false_(f) {1,3,5, 9) = {1,3,5,9} ... Describe each of the following sets as either finite or infinite. ... 13 listened to heavy metal and alternative rock; 12 listened to rap and alternative rock;. or
x 2 - 2yZ = 7 with x = 2v + 1 and y = 2b + 1. These have solutions. (x, y; v, b) = (3, 1; 1,0), (5,3; 2,1), (13,9; 6,4),. (27,19; 13,9), (75,53; 37, 26), (157,111; 78, 55), .
Step-by-step explanation:
Lincoln is seeking a loan with a simple interest rate of 8% per year. If he wants to borrow $5000, then how much will he be charged in interest for 24 months? $8,000 $9,600 $1,250 $800
Answer:
Lincoln will be charged $9,600.
Step-by-step explanation:
To find the answer we will first turn 8% into a decimal. 8 ÷ 100 = 0.08. Now multiply 0.08 by $5,000 and we get $400. then multiply $400 by 24 and we get $9,600. Therefore, $9,600 is our answer.
A cylinder has a volume 8m cube and a height of 2m.find the base radius of the cylinder.
Answer:
1.12838m or 1.13m
Step-by-step explanation:
hope this helps
Find 3 consecutive even integers such that 5 times the second is 82 more than the first .
Doors for the small cabinets are 11.5 inches long. Doors for the large cabinets are 2.7 times as long as the doors for the small cabinets. How many large doors can be cut from a board that is 10 feet long?
Answer:So if you take the small cabinet door length which is 11.5 inches long and multiply by a factor of 2.3 you get the total length of the large cabinet doors, which is 26.45 inches
Step-by-step explanation:
Evaluate the expression [(18 ÷ 2 + 54 ÷ 9) × 2] × 2.
PLEASE EXPLAIN I KNOW ITS 60
Answer:
PEMDAS
Step-by-step explanation:
Answer:
[tex]=60[/tex]
Step-by-step explanation:
[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex].
[tex]\left(18\div \:2+54\div \:9\right)\times \:2[/tex]
[tex]=15\times \:2[/tex]
[tex]=30[/tex]
[tex]=30\times \:2[/tex]
[tex]=60[/tex]
40 pts please help!
Find the circumference and area of a circle with a diameter of 7cm. Round your answers to the hundredth.
a. C = 21.98cm and A = 38.47cm squared
b. C = 21.98cm and A = 153.86cm squared
c. C = 43.96cm and A = 38.47cm squared
d. C = 43.96cm and A = 153.86cm squared
Answer:
a.
Step-by-step explanation:
diameter 7cm
radius 3.5cm
area =πr²
=22/7* 3.5²
=38.47cm²
circumference=πd
=22/7* 7
=22cm
Answer:
a. C = 21.98cm and A = 38.47cm squared
Step-by-step explanation:
Diameter is twice the radius. Therefore radius, r, is 3.5cm.
Circumference = 2πr =2π(3.5)=7π=21.98cm
Area=πr²=π(3.5²)=12.25π=38.47cm²
hello please help me i need to finish today
Answer:
I think it’s a reflection followed by a transformation
Step-by-step explanation:
What is the solution to the inequality x2 + 5x ≥ 6?
Answer:
x ≤ –6 and x ≥ 1
Step-by-step explanation:
Look at the figure below.
Choose all the names that describe the figure.
A. square
B. rhombus
C. rectangle
D. trapezoid
E. quadrilateral
F.parallelogram