El área de un rectángulo es 675cm2, si el largo es 3 veces. ¿Cuáles son las dimensiones del rectángulo?
ommy Teacher wants to analyze the weights of the students at his school. He knows the weight of the students is normally distributed so he can use the standard normal distribution. He measures the weight of 100 randomly selected students in the school. He finds the mean is 80 pounds and the standard deviation is 8 pounds.
Out of 100 students, how many should weigh between 64 and 96 pounds?
A string of christmas tree lights has 15 lights what is the probability that the defective light is the 3rd from the plug
A 12.0-cm segment makes a 108.0-degree angle with a 16.0-cm segment. To the nearest tenth of a cm, find the third side of the triangle determined by this SAS information.
Begin by using the cosine rule to find the unknown side.
Where a- unknown side, b is 12, c is 16 and angle in between is 108°
The cosine rule...
a² = b² + c² - 2bc cosA
= 12² + 16² - (2×12×16 cos108°)
= 518.655076
Taking the positive square root...
a = 22.774
a = 22.8 cm nearest tenth
The question involves finding the length of the third side of a triangle using the Law of Cosines. The known parameters are two sides and the included angle. The formula c² = (12 cm)² + (16 cm)² - 2*(12 cm)*(16 cm)*cos(108 degrees) can be used to calculate the length of third side.
Explanation:In this problem, you're dealing with a triangle and need to find the length of the third side. This is a classic case of using the Law of Cosines - a geometric rule that helps you find the length of a side of a triangle when you know the lengths of the other two sides and the angle in between (or in this case, SAS information).
The Law of Cosines formula is: c² = a² + b² - 2ab*cos(C), in which 'a' and 'b' represent the sides of the triangle adjacent to angle 'C', and 'c' is the other side. In your case, 'a' is 12.0 cm, 'b' is 16.0 cm and angle 'C' is 108.0 degrees. The third side 'c' can be calculated accordingly.
So, in this scenario, c² = (12 cm)² + (16 cm)² - 2*(12 cm)*(16 cm)*cos(108 degrees). With some basic arithmetic and the use of a calculator to compute the cosine, you can determine the length of the third side, 'c', to the nearest tenth of a cm.
Learn more about Law of Cosines here:https://brainly.com/question/21634338
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HELP ME PLS BBRAINLIESST AND 10 POINTS
The cost function for kara's new clothing store where she sells t-shirts is c = $9.90n + 1060. what is the slope of the cost function for kara's new store?
Answer:
The slope of the function is 9.90
Step-by-step explanation:
You can find the slope by looking at the coefficient of the independent variable in the equation. In this case, we would be looking for the coefficient of n.
Does anyone know anything about The Distributive property? Please help!
List the following stocks and bonds in order from lowest default risk to highest default risk.
A. foreign government bond, common stock, preferred stock
B. foreign government bond, preferred stock, common stock
C. common stock, preferred stock, foreign government bond
D. preferred stock, common stock, foreign government bond
Any help I don’t really understand this
What is the exact value of cos 30° ?
Consider a ΔABC in which ∠ C = 90°, ∠A = 60° and ∠ B = 30°.
Side AB will be the hypotenuse.
cos 60° = AC / AB -------[ cos 60° = 1/2]
So, AB = 2 AC -------------------------------(1)
Apply Pythagorean Theorem to find BC
AB² = BC² + AC²
4 AC² = BC² + AC²
So, BC = √3 AC ------------------------(2)
Now, we shall find the value of cos 30°
cos 30° = CB / AB
or, = √3 AC / 2 AC -------using equations (1) and (2)
So, cos 30° = √3 / 2
Hence, the exact value of
Since ∠A = 2∠B. So, cos 30° will be √3 / 2
The answer is √3 / 2
Consider a single spin on the spinner shown below. Which events are mutually exclusive? Check all that apply.
landing on an unshaded portion and landing on 2
landing on a shaded portion and landing on 3
landing on a shaded portion and landing on an even number
landing on an unshaded portion and landing on a number greater than 3
landing on a shaded portion and landing on an unshaded portion
Answer:
Options A, B and E represent mutually exclusive events.
Step-by-step explanation:
Two events are mutually exclusive that can not happen at a same time.
Now let us look at our options and find which statements represent mutually exclusive events.
A. We can see that landing on an unshaded portion and landing on 2 are mutually exclusive events as unshaded portion contains 3 and 4 and 2 lies on shaded portion.
B. Landing on a shaded portion and landing on 3 is also mutually exclusive as 3 lies on unshaded portion.
C. Landing on a shaded portion and landing on an even number can happen at the same time as 2 is an even number and it lies on shaded portion.
D. Landing on an unshaded portion and landing on a number greater than 3 can happen at the same time as 4 in greater than 3 and it lies on unshaded portion.
E. Landing on a shaded portion and landing on an unshaded portion are mutually exclusive events as spinner can be either in shaded portion or in unshaded portion.
Therefore, Options A, B and E are our correct choices.
Answer:
A, B, E
Step-by-step explanation:
I just did it on edge and got it right
HELP, MARKING BRAINLIEST
How many compass settings are required to complete the construction?
What is the approximate difference in the growth rate of the two populations? The approximate difference in the growth rate is 10 percent. The approximate difference in the growth rate is 40 percent.
Answer:
B
Step-by-step explanation:
The approximate difference in the growth rate is 40 percent.
jack paid $2.60 sales tax on a $52 pair of shoes that he purchased. how much sales tax will his friend pay if his friend purhases a $28 shirt?
What is a correct first step in solving the inequality –4(3 – 5x)≥ –6x + 9?
the amount that results when $4000 is compounded at 6% annually over seven years
HELPPPPPPPPPP and explain
What is the total number of miles Akim runs over the course of 18 days?
The area of a piece of construction paper is 204 inches. The paper is 17 inches long. What is the width of the paper?
The width of the construction paper is 12 inches.
The formula for area is length(l)*width(w)=area in units squared(a^2).
To find the width, we divide both sides by length, this gives us the following:
17*w=204in^2 w=204in^2/17
To find the answer, you just perform the operation.
204/17=12
The width is 12 inches.
Marilyn uses a credit card with a 19.9% APR compounded monthly to pay for car repairs totaling $991.38. She can pay $410 per month on the card. What will the total cost of this purchase be?
$1,021.01
$1,188.66
$991.38
$1,192.39
Add. Express your answer in lowest terms. 8 3/10 + 7 2/15
To add 8 3/10 and 7 2/15, we need to find a common denominator. The sum is 15 1/15.
Explanation:To add 8 3/10 and 7 2/15, we need to find a common denominator. The least common multiple of 10 and 15 is 30. So we convert both fractions to have a denominator of 30: 8 3/10 = 8 9/30 and 7 2/15 = 7 4/30. Now we can add the whole numbers and the fractions separately:
8 + 7 = 159/30 + 4/30 = 13/30Combining the results, the sum is 15 13/30. To express the answer in lowest terms, we can simplify the fraction: 13 and 30 are both divisible by 13, so dividing both by 13 gives us 1 and 2/30. Therefore, the final answer is 15 2/30, which can be further simplified to 15 1/15.
Which of the following shows that polynomials are closed under subtraction when polynomial 5x − 6 is subtracted from 3x2 − 6x + 2?
A) 3x2 − 11x + 8 may or may not be a polynomial
B) 3x2 − 11x + 8 will be a polynomial
C) 3x2 − x + 4 may or may not be a polynomial
D) 3x2 − x + 4 will be a polynomial
Tip: Every 2 after 3x is an exponent.. so it would be 3x^2
List the following stocks and bonds in order from lowest default risk to highest default risk:
Bond in a stable foreign government
Preferred stock
Common stock
A. foreign government bond, common stock, preferred stock
B. foreign government bond, preferred stock, common stock
C. common stock, preferred stock, foreign government bond
D. preferred stock, common stock, foreign government bond
1.)Simplify the expression: 4 times Start Root 18 End Root plus 5 times Start Root 32 End Root
2.)Simplify the expression: 7 times Start Root 5 End Root minus 3 times Start Root 80 End Root
3.)Simplify the expression: Start Root 21 End Root times Left Parenthesis Start Root 3 End Root plus Start Root 14 End Root Right Parenthesis.
4.)Simplify by rationalizing the denominator: Start Fraction 4 over Start Root 10 End Root minus Start Root 6 End Root End Fraction
I WILL MAKE YOU THE BRAINIEST! PLEASE HELP
Answer:
I agree with Sydneyjones :D i very much agree
1.) 32 start root 2 end root
2.) -5 start root 5 end root
3.) 3 start root 7 end root + 7 start root 6 end root
4.) start root 10 end root + start root 6 end root
How do you solve this problem?
The tree diagram shows Pam’s choices for her appetizer and a meal at a restaurant. How many choices include chicken
Answer is 8, i just did it
what is the quotient of 15p^-4q^-6/-20^12q^-3 in simplified form
The simplified form of the expression: [tex]\( -\frac{15}{2^{24} \times 5^{12} \times p^4 \times q^3} \)[/tex]
To simplify the expression [tex]\( \frac{15p^{-4}q^{-6}}{-20^{12}q^{-3}} \)[/tex], we can apply the rules of exponents and simplify each part of the expression separately.
First, let's rewrite [tex]\( -20^{12} \) as \( -(20^{12}) \)[/tex] to make it clear that the exponent applies to the entire term:
[tex]\[ \frac{15p^{-4}q^{-6}}{-(20^{12}q^{-3})} \][/tex]
Now, let's simplify each part:
1. \( p^{-4} \) can be rewritten as [tex]\( \frac{1}{p^4} \).[/tex]
2. \( q^{-6} \) can be rewritten as [tex]\( \frac{1}{q^6} \).[/tex]
3. [tex]\( 20^{12} \)[/tex] can be calculated.
[tex]\[ \frac{15}{-(20^{12})} \times \frac{1}{p^4} \times \frac{1}{q^6} \times \frac{1}{q^{-3}} \][/tex]
Now, let's calculate [tex]\( 20^{12} \):[/tex]
[tex]\[ 20^{12} = (2^2 \times 5)^{12} = 2^{24} \times 5^{12} \][/tex]
[tex]\[ = (2^4)^6 \times 5^{12} = 2^{24} \times 5^{12} \][/tex]
Now, we can rewrite the expression:
[tex]\[ \frac{15}{-(2^{24} \times 5^{12})} \times \frac{1}{p^4} \times \frac{1}{q^6} \times \frac{1}{q^{-3}} \][/tex]
[tex]\[ = -\frac{15}{2^{24} \times 5^{12} \times p^4 \times q^6 \times q^{-3}} \][/tex]
[tex]\[ = -\frac{15}{2^{24} \times 5^{12} \times p^4 \times q^3} \][/tex]
This is the simplified form of the expression.
A spinner is divided into 5 equal sections numbered 1 to 5. The theoretical probability of the spinner stopping on 3 is 20%. Which of the following is most likely the number of 3's spun in 10,000 spins?
A. 3358
B. 1243
C. 2589
D. 2067
In bridge each player is dealt a hand of 13 cards from a deck of 52 cards. there are 4 aces in the entire deck. what are the expected number of aces in a single hand of cards?
The health care Jimmy’s employer offers is a fee-for-service plan in which Jimmy and his family must pay for $12,500 in health related services in a calendar year before the insurance company begins to pay. Jimmy and his family have several health related issues that demand $685.00 each month. If one of Jimmy’s children were to become seriously injured at the end of the year, how much more would Jimmy and his family need to pay before the insurance company begins to assume responsibility?
a.
$984.58
b.
$4,280.00
c.
$11,815.00
d.
$14,417.92