Answer:
Below.
Step-by-step explanation:
a. 360 - 168
= 192 ft above sea level.
b. -168 - (-132) = -36.
36 feet lower.
A rectangular picture frame has a length that is 6 cm greater than the width. The total perimeter is 36
cm. What are the dimensions for the frame? Write an equation, solve and then fully answer the
question.
Answer:
Step-by-step explanation:
width= x
length= x+6
perimter = 2x+ 2(x+6)
36= 2x+ 2x+ 12
36= 4x + 12
36-12= 4x
4x= 24
x= 6
therefore width= 6cm
length= 6+6 = 12
simplify (3x³)⁴.......
Answer:
(3x)¹²
Step-by-step explanation:
(3x³)⁴ can be simplified into (3x)¹²
The simplified value of the given expression is 3x¹²
What is simplification?Simplification is the process of replacing a mathematical expression by an equivalent one, that is simpler, usually shorter.
Given that, an expression (3x³)⁴
Using the identity = (xᵃ)ᵇ = xᵃᵇ
(3x³)⁴ = (3x)³ˣ⁴ = 3x¹²
Hence, the simplified value of the given expression is 3x¹²
Learn more about Simplification , click;
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The ages of a man and his son are in the ratio 4:1. The man is 36years old, how old is the son?
4. Find PQ. N Р 5x + 16 S R 9x - 32 Q
Answer:
76
Step-by-step explanation:
PQRS is a Rhombus.
Property of Rhombus : -
All sides are equal.
So,
PQ = QR = RN = NP
RN = 5x + 16
QR = 9x - 32
QR = RN
5x + 16 = 9x - 32
9x - 32 = 5x + 16
9x - 5x = 16 + 32
4x = 48
x = 48 / 4
x = 12
Substitute x = 12 in RN,
RN = 5x + 16
= 5 ( 12 ) + 16
= 60 + 16
RN = 76
Since,
PQ = QR = RN = NP
Therefore,
PQ = 76
Antony spends £244 on a plane ticket and €110 on airport tax. Using £1 = €1.12, what percentage of the total cost does Antony spend on airport tax? Give your answer rounded to 1 dp.
A sample survey of discount brokers showed that the mean price charged for a trade of shares at per share was . The survey is conducted annually. With the historical data available, assume a known population standard deviation of . a. Using the sample data, what is the margin of error associated with a confidence interval (to decimals)
Using the z-distribution, it is found that the margin of error of the confidence interval is:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In this problem, it is stated that the population standard deviation is known, thus, the z-distribution is used.
The margin of error of a z-confidence interval is given by:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
z is the critical value. [tex]\sigma[/tex] is the population standard deviation. n is the sample size.A similar problem is given at https://brainly.com/question/25214883
Show that (1 + 2V3)2 = 13 +4V3
What is the answer to these questions?
Answer:
1) 8 3/5
2) Option 3
-c: infinitely many solutions, Help solve plss
What is the median of this data set 15, 33,51,51,75
Answer:
51
Step-by-step explanation:
1. The median of a data set is the middle number within the data points.
2. As you can see, when you cross out each number from left to right then left to right again, you end up with 51 standing by itself. Therefore, the median is 51.
factorize completely the expression(h+2k)²+4k²-h²
Answer:
[tex]\rm 4k(2k+ h)[/tex]
Step-by-step explanation:
A expression is given to us and we need to factorise it . The given expression is ,
[tex]\rm\implies (h+2k)^2+4k^2-h^2[/tex]
Open the brackets using the identity, (a +b)² = a² + b² + 2ab , we have ;
[tex]\rm\implies h^2+4k^2+4hk + 4k^2 - h^2 [/tex]
Simplify ,
[tex]\rm\implies 8k^2+4hk [/tex]
In the above expression 4k is common in both the terms , so that ,
[tex]\rm\implies \boxed{\pink{\frak{ 4k(2k+h) }}}[/tex]
The expression factorized completely is (h +2k)[(h+2k) + (2k-h)]
From the question,
We are to factorize the expression (h+2k)²+4k²-h² completely
The expression can be factorized as shown below
(h+2k)²+4k²-h² becomes
(h+2k)² + 2²k²-h²
(h+2k)² + (2k)²-h²
Using difference of two squares
The expression (2k)²-h² = (2k+h)(2k-h)
Then,
(h+2k)² + (2k)²-h² becomes
(h+2k)² + (2k +h)(2k-h)
This can be written as
(h+2k)² + (h +2k)(2k-h)
Now,
Factorizing, we get
(h +2k)[(h+2k) + (2k-h)]
Hence, the expression factorized completely is (h +2k)[(h+2k) + (2k-h)]
Learn more here:https://brainly.com/question/12486387
Brad baked 36 muffins. Adam baked 8 more muffins than Brad.
Fred baked 2 times as many muffins as Adam. How many muffins
did Adam bake? How many muffins did Fred bake?
Answer:
Adam baked 44 muffins.
Fred baked 88 muffins.
Step-by-step explanation:
Adam) Do 36 + 8 = 44
because it says Adam baked 8 more than Brad.
Fred) Do 44 x 2 because it says
He baked 2 time more than Adam
-kiniwih426
Plz help I need help
Answer:
Proportional
Step-by-step explanation:
Find the x-intercept and y-intercept of the line and then graph the equation
-4x+2y=-4
Answer:
x-intercept is 1 and y-intersect is -2
Step-by-step explanation:
To find the x-intercept let y = 0 and to find the y-intercept let x = 0 and solve each equation.
-4x + 2y = -4 Let x = 0 and solve for y
-4(0) +2y = -4
0 + 2y = -4
2y = -4
y = -4/2 ; y = -2 y- intercept is -2
Let y = o and solve
-4x + 2y = -4
-4x + 2(0) = -4
-4x + 0 = -4
-4x = -4
x = -4/-4 ; x = 1 x-intercept is 1
A sea lion jumped out of the water to a height of 3 feet above sea level. The number line shows the location of the sea lion at the top of its jump. From this location, the sea lion dove down 9 feet. Describe how to use the number line to find the new location of the sea lion.
Answer: on the number line it would go from 0 and with a positive line go to 3 and when it’s dive down it would with a negative line go 9 spaces towards the negative side of the number line and the answer would be -6 I think that kind of exsplains it step by step there but let me know if you information :) please leave a thanks and five stars I need some for my own quiz! Thank you!
Step-by-step explanation:
Could use some help here plz.
Grandpa has a barrel of apples. 2/5 of the apple are rotten. 24 of the apples are good. How many apples are there in total?
Answer:
40 Apples
Step-by-step explanation:
3/5 of the apples are good so divide 24 by 3 which is 8, then multiply 8 by 2 which is 16, add 24 and 16 together to get 40. Let me know if I'm wrong.
Find the measure of the missing angles
Answer:
H: 119 degrees.
G: 61 degrees.
M: 54 degrees.
K: 126 degrees.
Step-by-step explanation:
Is 9 a solution to the equation?
3x - 7=20
Yes no
Answer:
yes
Step-by-step explanation:
because its right i know its right
Which of the following equations represent linear functions?
Answer:
a
Step-by-step explanation:
a linear function have a shape of y=ax+b
y=8x-3 is linear where a=8 and b=-3
Answer: y = 4(2x) - 3
Step-by-step explanation: Linear functions are typically in the form y = mx + b. Out of the 4 choices, only the first one, (y = 8x - 3 when distributed) is in this form.
Change 3/2 3.14 to degree measure
A. 180 degrees
B. 90 degrees
C. 270 degrees
D. 360 degrees
Answer:
option b
hope ut is help full
find me < 7 and m < 8 pls
Answer:
∠8 is 105° and ∠7 is 75°
Step-by-step explanation:
Angles 4 and 8 are corresponding angles, and are congruent.
Angles 8 and 7 are a linear pair
Pls help
||x-5|+2|<=3
Answer:
1,1 + 1oope k1 5l+<=3 is the 109199
How do you get the right answer?
Please help!!!
I need help finding the answer.
Answer:
2nd option
Step-by-step explanation:
The shaded area = outside area - inner area
= x² - (x - 6)² ← expand using FOIL
= x² - (x² - 12x + 36) ← distribute parenthesis by - 1
= x² - x² + 12x - 36 ← collect like terms
= 12x - 36
The slope is negative in the graph as you move from left to right the line of the graph is going
Answer:
Down
Step-by-step explanation:
The line slants downward from left to right if the slope is negative.
3. They each have a brother who
weighs 40 units. Whose brother
weighs 40 pounds, and whose
weighs 40 kilograms? Explain your
reasoning
Lin's brother weighs 40 pounds, and Elena's brother weighs 40 kilograms, because kilograms are heavier than pounds and Elena's brother is bigger.
Given: ΔABC ≅ ΔMNP. What is the corresponding angle to ∠A A. ∠B B. ∠N C. ∠M D. ∠P
Answer:
C. ∠M
Step-by-step explanation:
Answer:
C. < M
Step-by-step explanation:
Congruent triangle notations are written in order of their corresponding parts.
For ΔABC ≅ ΔMNP we have angle A corresponding to angle M
Δ A B C ≅
↓ ↓ ↓
Δ M N P
The points (-6, 4) and (-4, r) lie on a line with slope 3. Find the missing coordinate r.
[tex]\\ \sf\longmapsto m=3[/tex]
(-6,4)(-4,r)[tex]\\ \sf\longmapsto \dfrac{r-4}{-4+6}=3[/tex]
[tex]\\ \sf\longmapsto \dfrac{r-4}{2}=3[/tex]
[tex]\\ \sf\longmapsto r-4=6[/tex]
[tex]\\ \sf\longmapsto r=6+4[/tex]
[tex]\\ \sf\longmapsto r=10[/tex]
A drilling machine can drill 12 holes in 6 minutes. If the machine drills holes at a constant speed, it can drill
holes in 25 minutes. HELPPP
Answer:
The machine can drill 50 holes in 25 minutes!
Explanation:
6 by 4 is 24, which in this context will be 24 minutes. Therefore, multiply 12 by 4 to get the sum of 48. Then, to find the remaining 1 minute, divide 12 by 6 to get 2 which is the amount of holes per minute. Add 2 to 48 and that is your answer!