Answer:
1.) 15.26
2.). 5.74 miles
Step-by-step explanation:
1. We will solve this using the pythagorean theorem
Ab² + bc² = ac²
= 13² + 8² = ac²
= 169 + 64 = ac²
233 = ac²
We take square root of both sides to get ac
√233 = ac
15.26 = ac
So the distance from his home to his place of work is approximately equal to 15.26
2. Actual distance = 13 + 8 = 21 miles
21 miles - 15.26 = 5.74miles
Therefore his one way trip would be 5.74 miles shorter everyday.
which is the right answer?????
Answer:
Angle ABC = 58
_________________
These two angles are opposite but meet at the same vertex. This means that they are equal to each other. To solve the equation below, isolate the variable and you have your answer!
3x - 14 = 2x + 10
-2x -2x
x - 14 = 10
+14 +14
x = 24
Angle ABC
3(24) - 14 = ?
72 - 14 = 58
What is the slope of line j?
Answer: -3/2
Step-by-step explanation:
Can I plz get some help on this I haven't had time to do this and im confused on this
Answer:
What are you confused about?
Step-by-step explanation:
Osmond has £6 he buys some cans of drink at 85p each and has 5p leftover how many cans of drinks did he buy
Answer:
7 cansStep-by-step explanation:
Given
Cost of drink = 85pMoney given = £6 Money left = 5pSolution
£6 = 600 p85x + 5 = 60085x = 595x = 595/85x = 7Fishermen fishing for spiny lobster are allowed to keep only lobsters with a carapace length of 3.25 inches or longer. (Than carapace length is measured from the rear edge of the eye socket to the rear edge of the body shell.) Any lobster smaller than 3.25 inches must be returned to the sea. Suppose that lobster carapace lengths have a distribution that is mound shaped and approximately symmetric with a mean of 5.50 inches and a standard deviation of 2.25 inches. Approximately what proportion of lobsters will have to be returned to the sea
Answer:
16%
Step-by-step explanation:
First we start by solving for the z score
We have the following information
x = 3.25
Standard deviation = sd = 2.25
Mean = 5.50
Z = (x - mean)/sd
z = 3.25 - 5.50/2 25
z = -1.00
If we look this up in the standard normal distribution table,
P(z<-1.00) = 0.1587
Which when approximated gives us
16%
Therefore approximately 16% of lobsters will have to be returned back to the sea.
3861 8712 5247 4356 1485 3645
which number is the odd, one, out?
Answer:
3645
Step-by-step explanation:
The odd one is [tex]3645[/tex].
Let the given numbers are,
[tex]3861,8712,5247,4356,1485,3645[/tex]
The given numbers are divisible by [tex]99[/tex] except [tex]3645[/tex].
Now,
[tex]3681=\frac{3681}{99} =39[/tex]The number [tex]3681[/tex] is divisible by [tex]99[/tex].
[tex]8732=\frac{8732}{99} =88[/tex]The number [tex]8732[/tex] is divisible by [tex]99[/tex].
[tex]5247=\frac{5247}{99} =53[/tex]The number [tex]8732[/tex] is divisible by [tex]99[/tex].
[tex]4356=\frac{4356}{99} =44[/tex]The number [tex]4356[/tex] is divisible by [tex]99[/tex].
[tex]1485=\frac{1485}{99} =15[/tex]The number [tex]1485[/tex] is divisible by [tex]99[/tex].
[tex]3645=\frac{3645}{99} =36.81[/tex]The number [tex]3645[/tex] is not divisible by [tex]99[/tex].
Hence, the odd number is [tex]3645[/tex].
For more information,
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+7p – 1 – p + 5
expression is simpliest form
Answer:
6p + 4
Step-by-step explanation:
7p - 1 - p + 5
~Combine like terms
6p + 4
Best of Luck!
What is the value of the 7 in 1,379
Answer:
70
Step-by-step explanation:
The 7 is in the 10s place so its value would be 70
The 7 is in the tens place, so it represents 70
1379 = 1000 + 300 + 70 + 9
1379 = 1*1000 + 3*100 + 7*10 + 9*1
1379 = 1*10^3 + 3*10^2 + 7*10^1 + 9*10^0
(3x³ y² + 5x² y³ -6y²) - (-7x² y³ -2x³ y² + y²)
Answer:
5x³y² - 2x²y³ - 7y²
Step-by-step explanation:
Step 1: Write expression
(3x³y² + 5x²y³ - 6y²) - (7x²y³ - 2x³y² + y²)
Step 2: Distribute negative
3x³y² + 5x²y³ - 6y² - 7x²y³ + 2x³y² - y²
Step 3: Combine like terms (x³y²)
5x³y² + 5x²y³ - 6y² - 7x²y³ - y²
Step 4: Combine like terms (x²y³)
5x³y² - 2x²y³ - 6y² - y²
Step 5: Combine like terms (y²)
5x³y² - 2x²y³ - 7y²
Reba needs to simplify the expression below. 6 and one-half + 3.5 times 2 minus 7 divided by 3 Which operation should she perform first? addition subtraction multiplication division
Answer:
Multiplication
Step-by-step explanation:
Multiplication should be the first step Reba needs to do to simplify the expression. This is according to PEMDAS, which is an acronym for the order to solve equations
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
Answer:
multiplicationStep-by-step explanation:
how many batches of cookies can she make if she had 7 1/2 cup of sugar
Answer:
i need more info
Step-by-step explanation:
Answer:
she can make 5 batch of cookies
Step-by-step explanation:
A batch of cookie requires 1\frac{1}{2}121 cups of sugar.
she has 7\frac{1}{2}721 cups of sugar.
He can make the total number of batches = 7\frac{1}{2}721 ÷ 1\frac{1}{2}121
= \frac{15}{2}215 ÷ \frac{3}{2}23
= \frac{15}{2}215 × \frac{2}{3}32
= \frac{30}{6}630
= 5 batches of cookies
What is the value of y in the equation 2(3y + 4 + 2) = 196 − 16?
26
28
30
32
Answer:
28
Step-by-step explanation:
2(3y + 4 + 2) = 196 − 16
6y + 8 + 4 = 196 - 16
6y + 12 = 196 - 16
6y + 12 = 180
6y = 168
y = 28
Best of Luck!
HELP!
Freediving means diving without the aid of breathing equipment. Suppose that an athlete free dives to an elevation of -42 meters in 60 seconds. Find the average rate of change in the diver's elevation
Answer:
- 0.7 m/s
Step-by-step explanation:
Because we are talking about "elevation", we assume that going upwards will result in a positive elevation change and going downwards will result in a negative elevation change.
We also assume, since we are talking about free-diving, that he starts from the surface (i.e elevation 0 m) and he free dives to a distance of 42 meters downwards (i.e elevation of -42)
In our case, the change in elevation
= final elevation - intital elevation
= -42 - 0
= -42 m
time elapsed is given as 60 sec.
Hence rate of change of elevation
= change in elevation ÷ time elapsed
= -42 ÷60
= - 0.7 m/s
can u please help me do this question
Answer:
a. 20x > 10x + 80
b. •20x > 10x + 80
• Subtract 10x from both sides: 20x -10x > 10x + 80 - 10x
• Simplify: 10x > 80
• Divide both sides by 10: 10x/10 > 80/10
• Simplify: x > 8
Step-by-step explanation:
10x + 80 = number of seashells Pilar has.
20x = number of seashells Marisol has.
answer for a: 20x > 10x + 80
answer for b: 20x > 10x + 80
• Subtract 10x from both sides: 20x -10x > 10x + 80 - 10x
• Simplify: 10x > 80
• Divide both sides by 10: 10x/10 > 80/10
• Simplify: x > 8
Based on the table, which statement best describes a prediction for the end behavior of the graph of f(x)?
As x → ∞, f(x) → –∞, and as x → –∞, f(x) → ∞
As x → ∞, f(x) → ∞, and as x → –∞, f(x) → ∞
As x → ∞, f(x) → ∞, and as x → –∞, f(x) → –∞
As x → ∞, f(x) → –∞, and as x → –∞, f(x) → –∞
Answer:
Its the 3rd one :)
Step-by-step explanation:
Answer:
correct answer choice is B
Step-by-step explanation:
What is 9x-2?????????????
Answer:
If you mean 9 x -2 it's -18
Step-by-step explanation:
Michael and Aiden both get paid an equal hourly wage of $12 per hour. This week, Michael made an additional $30 dollars in overtime. Write an expression that represents the weekly wages of both if M = the number of hours that Michael worked this week and A = the number of hours Aiden worked this week? What is another way to write the expression?
3x/8=4.5/4 Solve the equation/find x
Answer:
x=3
Step-by-step explanation:
answer this plz
find 7%of£40
How many times larger is 5 x 10^6 than 5 x 10^2?
Hello! :)
5*10^6 = 5,000,000
5*10^2 = 500
5,000,000 - 500 Subtract
4,999,500 (Answer)
That means your answer is 4,999,500.
Hope this helped you!
THEDIPER
Simplify: -7(-3) + 10 =
Answer:
11
Step-by-step explanation:
What substitution should be used to rewrite 4x4 – 21x2 + 20 = 0 as a quadratic equation?
35
Step-by-step explanation:
= 32+20-21
= 52-21
= 31
Answer:
u = x^2
Step-by-step explanation:
on edg 2020
Consider the equation, where p is a real number coefficient.
- (px - 2) = 9
What is the value of x in the equation?
Answer:
x = 7/-p
Step-by-step explanation:
-(px - 2) = 9
-px + 2 = 9
-px = 7
x = [tex]-\frac{7}{p}[/tex]
Answer:
x = -7/p
Step-by-step explanation:
We have:
-(px - 2) = 9
Divide both sides by -1:
px - 2 = -9
Add 2 to both sides:
px = -7
Divide by p:
x = -7/p
p is a real number coefficient, which means it can be any kind of fraction, decimal, or integer as long as it doesn't contain any imaginary part, i.
So, we have x = -7/p.
~ an aesthetics lover
3) 2x² + 7x - 30
AC method
Hello
a=2, b=7, c= -30
ac=-60
-60= 12*(-5)
We can see that 12*(-5)=ac and 12-5=b=7
So
[tex]2x^2+7x-30=2x&2+12x-5x-30=2x(x+6)-5(x+6)=(x+6)(2x-5)[/tex]
Thanks
What is 354.77 to the nearest tenth
Answers
nh whvhibqeashbi qh wej
Step-by-step explanation:
Solve the following equation. 2/3 x + 6 =1/2 x + 1/4x
A)2
B)6
C)14 2/5
D)72
Answer:
Step-by-step explanation:
2/3x + 6 = 2/4x + 1/4x
2/3x + 6 = 3/4x
12(2/3x + 6 = 3/4x)
8x + 72 = 9x
x = 72
Find the area of each triangle with the given heights and bases. a. h = 6 inches; b = 10 inches b. h = 9 centimeters; b = 4 centimeters c. h = 13 yards; b = 20 yards The triangular top of an end table has a height of 32 centimeters and a base of 40 centimeters. What is the surface area of the top of the table? A Triangle Sondra wants to put a fence in a triangular area of her backyard as shown in the illustration. The fence will enclose a right triangle, with two of the sides measuring 8 yards and 15 yards long. How long will the third side of the triangle be? A Shape Susan has a flower bed that is shaped like a right triangle. Both sides of the right angle are six feet long. What is the length of the missing side? A Shape Use the Pythagorean theorem to find the length of each missing hypotenuse below. Remember: if the answer isn’t a perfect square, you can leave it in the square root form. Varies Shapes
The area of the first, second, and third is a triangle30square in,18 square cm,130 Square yards the surface area of the triangular top of the end table is 640 square centimetres the length of the third side of the triangle is 17 yards the length of the missing side of the right triangle is 6√2 feet.
According to the given information:
a. The area of a triangle is given by the formula A = (1/2)bh, where b is the base and h is the height. Therefore, for the first triangle:
A = (1/2)(10 in)(6 in) = 30 square inches
b. For the second triangle:
A = (1/2)(4 cm)(9 cm) = 18 square centimeters
c. For the third triangle:
A = (1/2)(20 yd)(13 yd) = 130 square yards
d. The surface area of the triangular top of the end table is also given by the formula A = (1/2)bh, where b is the base and h is the height. Therefore:
A = (1/2)(40 cm)(32 cm) = 640 square centimeters
e. Using the Pythagorean theorem, we can find the length of the third side of the right triangle:
c² = a² + b²
c² = 8² + 15²
c² = 289
c = √289
c = 17 yards
Therefore, the length of the third side of the triangle is 17 yards.
f. Using the Pythagorean theorem, we can find the length of the missing side of the right triangle:
c² = a² + b²
c² = 6² + 6²
c² = 72
c = √72
c = 6√2 feet
Therefore, the length of the missing side of the right triangle is 6√2 feet.
g. The length of the missing hypotenuse can be found using the Pythagorean theorem:
c² = 3² + 4²
c² = 9 + 16
c² = 25
c = √25
c = 5
Therefore, the length of the missing hypotenuse is 5.
To know more about Right angle Triangle Visit: https://brainly.com/question/3770177
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Answer:
a. a2 + b2 = c2
a2 + (12 in.)2 = (20 in.)2
a2 + 144 sq. in. = 400 sq. in.
a2 = 144 sq. in. – 144 sq. in. = 400 sq. in. – 144 sq. in.
a2 = 256 sq. in.
√a2 = 256 sq. in.
a = 16 in.
Answer: The length of the missing side is 16 inches.
b. a2 + b2 = c2
(7 cm)2 + b2 = (25 cm)2
49 cm2 + b2 = 625 cm2
49 cm2 – 49 cm2 + b2 = 625 cm2 – 49 cm2
b2 = 576 cm2
√b2 = √576 cm2
b = 24 cm
Answer: The length of the missing side is 24 centimeters.
c. a2 + b2 = c2
(8 yd.)2 + (15 yd.)2 = c2
64 sq. yd. + 225 sq. yd = c2
289 sq. yd. = c2
√289 sq. yd. = √c2
17 yd. = c
Answer: The third side of the fence will be 17 yards long.
Step-by-step explanation:
Find the product. (4/5)(9/5)(-1/2)
1. What is the range of the relation shown in
the table?
Refer to
х
3
5
7
9
у
4
-6
-11
A {-119)
B 3, 5, 7, 9)
C {-11, -6, -1, 4}
D -11, -6, -13, 4, 5, 7, 9)
If 16 less than 4 times a number is 64 what is the number
Answer: Let the number be x
four times a number = 4x
16 less than four times a number = 4x - 16
4x - 16 = 64
Keeping constants on one side
4x = 64 +16
4x = 80
x = 80/4 = 20
The number is 20 .
