Answer:
Surface area of a square pyramid is:
112 cm²
Step-by-step explanation:
The surface area of square pyramid is given by:
S=2bs+b²
Where b is the length of base and s is the slant height.
and Area of base=b²
Here, s=12 cm
and Area of base=b²=16 cm²
⇒ b=4 cm
Hence, Surface Area=2×12×4+4×4
= 112 cm²
Hence, surface area of a square pyramid is:
112 cm²
how would you solve x^2 -6x +7=0 to complete the square and solve the quadratic equation?
The solution to the quadratic equation x² - 6x + 7 = 0 is found by modifying the equation to the form (x - h)² = k, adding 9 to each side, and then taking the square root of each side to solve for x, resulting in x = 3 ± √2.
Explanation:To complete the square and solve the quadratic equation x² - 6x + 7 = 0, we need to perform a few steps.
First, we need to modify the equation to the form (x - h)² = k by manipulating the x² - 6x part of the equation. By taking half of the coefficient of x (which is -6) and squaring it, we will get 9. Adding 9 to both sides of the equation will give us (x - 3)² = 2. Finally, to solve for x, we take the square root of each side, resulting in x - 3 = ±√2. Solving for x, we find that the solutions of the quadratic equation are x = 3 ± √2. Learn more about Solving Quadratic Equation here:
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Which system of equation can represent the equation?
Answer:
A on edge 2021
Step-by-step explanation:
please help and hurry
it’s not the one i picked
what is the sum of the polynomials
(-x^2+9)+(-3x^2-11x+4).
• -4x^2-2x+4
• -4x^2-11x+13
• 2x^2+20x+4
• 2x^2+11x+5
The sum of the given polynomials is -4x²-11x+13. Therefore, option B is the correct answer.
What is addition of algebraic expression?Addition of Algebraic Expressions is the process of collecting like terms and adding them. Identify and add the coefficients of like terms and sum them to find the final expression of given problems.
Given that, (-x²+9)+(-3x²-11x+4).
Here, -x²+9-3x²-11x+4
= (-x²-3x²)-11x+9+4
= -4x²-11x+13
Therefore, option B is the correct answer.
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Please help. I’ll give brainliest
Answer:
4/15
Step-by-step explanation:
Multiples of 4: 4, 8, 12, 16, 20, 24, 28 (there are 7)
19: There is 1
Total: 7+1=8
8/30=4/15
the stem and leaf plot below shows the number of points scored in each basketball game a team played during a season in how many games were more than 40 points scored?
|Stem | Leaf|
| 6 | 1 6 7|
| 5 |2 2 8|
| 4 |4 5 8 9|
| 3 |0 2 6 6 6|
| 2 | 0 8 |
A. 4
B. 6
C. 7
D. 10
Find the unknown. 1,025 = ( × 9) + 17
Please help me with these. You'll be respected forever. I really need help with these.
a) please write 5.(6) % as a common fraction or a mixed number. The (6) is repeated.
b) Eight pounds of peanuts cost $24.00. Six pounds of walnuts cost half as much. Which is more expensive and by how much?
c) Eight pounds of peanuts cost $24.00. Six pounds of walnuts cost half as much. How much will Jim pay for 3 lbs of peanuts and 6 lbs of walnuts?
d) Write “four hundred dollars and seventy two cents”... as a fraction (and then reduce).
I will give brainliest if correct. Thanks.
Answer:
b) Peanuts, $1 per lb
c) $21
Step-by-step explanation:
b)
Peanuts= 12*2=$24
Walnuts= 6*2=$12
1 lb of peanut= 3 lb
1 lb of walnut= 2 lb
24 is greater than 12
3-2=1
$1 greater per lb
c)
1 lb of peanut= 3 lb
1 lb of walnut= 2 lb
3*3=9
2*6=12
9+12= $21
Sorry I only figured out b and c :(
11499 round to the nearest thousand
Simon has 20 quarters and 12 dimes.He wants to purchase ice cream for his friends.An ice cream cone cost $1.00.How many cones can Simon by for his friends?
LAST QUESTION HELP A GIRL OUT
Julie has two formal events to go to--one for her work and one for her partner's work. She has six formal dresses--two blue ones, one black, one red, and two white. Since the same people will not be at the two events she is okay wearing the same dress. She finds the probabilty that she wears a blue and a red dress as p(blue and red) = 2 6 · 1 6 . What do you know about the two events
Answer:
The two events are independent.
She used the multiplication rule to calculate the probability. Since she is okay wearing the same dress to the two events they are independent.
Step-by-step explanation:
Two classes have a total of 50 students. One of the classes has 6 more students than the other. How many students are in the larger class?
The following table shows the data collected from four random samples of 50 students from a small middle school regarding their reading preferences
Based on the results in the table, what type of reading is preferred by the majority of students in the samples? (1 point)
A. Novels
B. Short Stories
C. Classics
D. Comic Book
Answer:
A. Novels Hope this helps!
Step-by-step explanation:
Will give brainliest. How long is this side?
Sam intends to roll a six sided cube 100 times. What is the probability model he can use to predict whether or not each roll will give a result that is not a prime number?
The outcomes of rolling fair six sided die is [tex] \{1,2,3,4,5,6\} [/tex]. The prime numbers in the above outcomes are [tex] \{2,3,5\} [/tex]. The probability of not rolling a prime number is [tex] p=\frac{3}{6}= 0.5 [/tex].
Each trial is independent.
In the given experiment of 100 trials, the binomial probability model can be used to predict the number of occurrence of non-prime numbers (X). The probability mass function is
[tex] P(X=x)=C(100,x)p^x(1-p)^{100-x},x=0,1,2,3,...,100 [/tex]. Since [tex] p=0.5,1-p=0.5 [/tex]
[tex] P(X=x)=C(100,x)0.5^x(0.5)^{100-x},x=0,1,2,3,...,100 \\
P(X=x)=C(100,x)(0.5)^{100},x=0,1,2,3,...,100 [/tex]
the sum of 2 consecutive even integers is 234, what is the larger integer
The Lin family has a fish tank
Answer: And... what about the fish tank can you give more detail?
Step-by-step explanation:
how many times greater is one hour than one minutes
A function describes a proportional relationship for a set of discrete data. What is true about the graph of that function?
It is a line connecting a series of points.
It is a line drawn only in the first quadrant.
It is a series of points that cannot be connected by a straight line.
It is a series of points that fall in a straight line but are unconnected.
Answer:
It is a series of points that fall in a straight line but are unconnected.
Step-by-step explanation:
The weather report says there is an 85% chance it will be very hot tomorrow. Should you get ready to use the air conditioner? Explain.
Based on the 85% chance of very hot weather, it is reasonable to prepare to use the air conditioner. Weather forecasts with high probabilities can guide us in making practical preparation decisions for comfort and safety.
The weather report indicates there is an 85% chance that it will be very hot tomorrow. Given this high probability, it would be reasonable for you to prepare to use the air conditioner. Decisions based on weather forecasts often involve considering the likelihood of different outcomes and planning accordingly.
Weather is the atmospheric conditions at a particular place over a short period of time, and preparing for it helps us manage daily activities and comfort levels. When the probability of a specific weather event, such as extreme heat, is high, it is generally wise to prepare for that scenario. By planning to use the air conditioner, you can ensure you're able to maintain a comfortable environment during the hot weather.
What is the surface area of this triangular prism rounded to the nearest tenth? A) 63.3 cm2 B) 75.6 cm2 C) 85.7 cm2 D) 97.2 cm2
An artist was able to draw one seventh of a picture every hour. If he needed to paint 8 pictures for an art show, how many hours would it take him
The artist 56 hours to complete 8 pictures for the art show.
Question: An artist was able to draw one seventh of a picture every hour. If he needed to paint 8 pictures for an art show, how many hours would it take him?
To find out how many hours it would take the artist to paint 8 pictures, we can use the information given.
The artist can draw one seventh of a picture every hour. This means that in one hour, the artist can complete 1/7 of apicture.
To find out how many hours it would take to complete one picture, we can divide 1 by 1/7.
1 ÷ 1/7 = 7/1
So, it would take the artist 7 hours to complete one picture.
Since the artist needs to paint 8 pictures, we can multiply 7 hours by 8.
7 hours × 8 = 56 hours
For more such questions on hours
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Justin is exchanging dollars for rolls of quarters and rolls of dimes at a bank. Each roll of quarters has a value of $10 and each roll of dimes has a value of $5. He exchanges $90 and receives 11 rolls of coins. How many of each type of roll of coins did he receive?
Answer:
Justin got 7 rolls of quarters and 4 rolls of dimes.
Step-by-step explanation:
Let the roll of quarters be x
Let the rolls of dimes be y
As total money received is $90, the equation becomes;
[tex]10x+5y=90[/tex] .....(1)
And he got 11 roll of coins, so equation becomes;
[tex]x+y=11[/tex] or [tex]x=11-y[/tex] .... (2)
Substituting the value of x from (2) in (1)
[tex]10(11-y)+5y=90[/tex]
[tex]=> 110-10y+5y=90[/tex]
[tex]=> -5y=-110+90[/tex]
[tex]=> -5y=-20[/tex]
So, y = 4
As [tex]x=11-y[/tex]
So, [tex]x=11-4[/tex]
x = 7
Hence, Justin got 7 rolls of quarters and 4 rolls of dimes.
Write y=(-5/8)x+3 in standard form using integers
i needs help ........ .
24 3/8 inches
- 12 3/4 inches
= ?
Correct gets brainliest
To the nearest tenth, find the approximate distance between points A and C. Graph with coordinates A negative 4, negative 4. B negative 2, 5. C 2, 1. D 2, negative 4.
A. 3.3 units
B. 7.8 units
C. 5.2 units
D. 3.6 units
PLEASE HELP!!!!!
Means-to-MAD question. Pretty easy.
Answer:
Multiply ,Add , divide
Step-by-step explanation:
Which word best describes 8(2x +4)
Final answer:
The word that best describes 8(2x + 4) is multiplication. When we multiply a number by an expression, we distribute the multiplication to each term in the expression. Simplifying further, 8(2x + 4) becomes 16x + 32.
Explanation:
The word that best describes 8(2x + 4) is multiplication. In this expression, the number 8 is being multiplied by the expression 2x + 4. When we multiply a number by an expression, we distribute the multiplication to each term in the expression. Therefore, the expression becomes 8 * 2x + 8 * 4.
Simplifying further, we get 16x + 32. So, the word that best describes 8(2x + 4) is multiplication.