Answer:
15. 6
16. 40
Step-by-step explanation:
Use the formula for pythagorus: c^2 = a^2 + b^2
15. 10^2 = 8^2 + b^2
100 = 64 + b^2
*minus 64 on both sides
36 = b^2
*square root both sides
b = √36 = 6
16. c^2 = 24^2 + 32^2
c^2 = 576 + 1024
c^2 = 1600
*square root both sides
c = √1600 = 40
Hope this helps :)
1) 164
2) 1600
because a^2 + b^2 = c^2 <3
1. How many calories are in the smoothie that
contains 51 grams of sugar?
2. How many grams of sugar are in the smoothie
that contains 250 calories?
Answer:
responde la pregunta tú sólo déjame en paz
The 51 gram of sugar has 204 calorie and there is 62.5 gram of sugar in 250 calories.
What is a Measurement unit?A measurement unit is a unit to measure certain quantities.
For example, the mass can be measured in kilograms, length can be measured in meter and time can be measured in seconds.
To find the measurement of a new quantity knows units can be used in operation. As to find the unit for speed we use m/s as a unit, where, m is the unit of distance and s is the unit of time.
Solve these problems using the conversion unit for calorie to gram.
(1) 1 gram = 4 calories
Then, 51 grams = 51 × 4
= 204 calories
(2) 4 calorie = 1 gram
1 calorie = 1/4 gram
250 calorie = 1/4 × 251
= 62.5 gram
Hence, smoothie containing 51 gram sugar has 204 calories and in 250 calories of smoothie there is 62.5 gram of sugar.
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In a bowling class, the students are organized into teams. The number of students in the class is used to calculate how many teams will be formed.
Answer:
Error
Step-by-step explanation:
Unfinished question
solve for x
35+.8x=43-7x
Answer:
x = 1.02564
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
35 + 0.8x = 43 - 7x
Step 2: Solve for x
[Addition Property of Equality] Add 7x on both sides: 35 + 7.8x = 43[Subtraction Property of Equality] Subtract 35 on both sides: 7.8x = 8[Division Property of Equality] Divide 7.8 on both sides: x = 1.02564One shade of purple paint is made by mixing 2 pints of red and 5 pints of blue paint. Charley has 20 pints of blue paint. How many pints of red paint does he need to make the purple paint?
Answer:
8 pints
Step-by-step explanation:
The product of -13 and K
Answer:
- 13 × k = -13k
good luck, hope this helps :)
how do I solve this puzzle?
Answer: use division
Step-by-step explanation:
Theodore hired a roofer for some work. on final bill he was charged a total of 642$ .425$ was listed for parts and rest for labor . if the hourly rate was 31$ how many hours of labor was needed ?
Answer:
7 hours
So you so 642-425= 217, then you do 217/31= 7
your answer is 7
A nursery owner buys 9 panes of glass to fix some damage to the greenhouse. The 9 panes cost $19.35. Unfortunately, she breaks 2 more panes while repairing the damage. What is the cost of another 2 panes of glass?
Answer:
$4.30
Step-by-step explanation:
19.35/9 = 2.15 per pane
2.15 x 2 = 4.3
Explain the difference between (-5)squared and -5squared.
Answer:
The major difference between square and rectangle is that a square has all its sides equal whereas a rectangle has its opposite sides equal. In Geometry, we have learnt different types of shapes such as square, rectangle, cube, cone, cylinder, parallelogram, rhombus, and so on.
All these shapes can fall under any one of the categories such as two-dimensional shapes or three-dimensional shapes. All the shapes can share a few characteristics. But they have many different characteristics properties that differentiate the shapes from each other. In this article, let us discuss the difference between a rectangle and a square in detail.
What is 98x34x56÷5
Plz help me fast
Thanks in advance
Answer:
37318.4
Step-by-step explanation:
hope this helps
The ratio of length and breadth of a rectangular playground is 3:2. There
is a two meter wide jogging track along and outside the playground. The
total area of the track and the playground is 2816 sq.m. Find the length
and breadth of the playground,
Answer:
We know that the ratio of length and breadth of a rectangular playground is 3:2
Then if the length is L, and the breadth is B, we have the relationship:
L = (3/2)*B
Outside this playground, we have a jogging track of 2m, then if we also consider the jogging track the length and breadth are:
L' = L + 2m
B' = B + 2m
The area is the product between the area and the breadth, then the area is:
A = B'*L'
A = (L + 2m)*(B + 2m)
And remember that L = (3/2)*B
Then we get:
A = ((3/2)*B + 2m)*(B + 2m)
And the area is 2816 m^2
Then we have:
A = ((3/2)*B + 2m)*(B + 2m) = 2816 m^2
Now we can solve the equation:
((3/2)*B + 2m)*(B + 2m) = 2816 m^2
(3/2)*B^2 + 3m*B + 2m*B + 4m^2 = 2816 m^2
(3/2)*B^2 + 5m*B = 2816 m^2 - 4m^2 = 2812m^2
Then we can write:
(3/2)*B^2 + 5m*B - 2812m^2 = 0
We can solve this if we use Bhaskara's formula:
[tex]B = \frac{-(5m) +- \sqrt{(5m)^2 - 4*(3/2)*(-2812m^2)} }{2*(3/2)} = \frac{-5m +-130m}{3}[/tex]
One solution is negative, so we can discard that one, then we only take the positive:
B = (-5m + 130m)/3 = 41.67m
And L = (3/2)*B
L = (3/2)*40.7m = 62.5m
The breadth is 41.67 meters and the length is 62.5 meters.
PLS HELP I WILL GIVE BRAINllESTFind the surface area of the rectangular prism.
2 mi
8 mi
1 mi
Answer:
A=2(wl+hl+hw)
Step-by-step explanation:
Find the missing angle
Answer:
x=21
Step-by-step explanation:
69+90= 159
180-159=21
What is 50% of 20?.........................
Answer:
10
Step-by-step explanation:
50%, or 1/2 of 20 is 10.
Answer:
10!
Step-by-step explanation:
50% is half, so half of 20 is 10!
what is the difference of (5+3i) and (2+9i)?
Select the equation that has m = 34.87 as a solution.
A
m x 21 = 731.27
B
9m
323.83
m + 14 =
488.18
68 + m = 102.87
Answer:
look up
Step-by-step explanation:
Answer this ASAP it’s due tomorrow again
Answer:
76 cm cubed
Step-by-step explanation:
2 x 2 x 4 = 16 cm cubed
3 x 4 x 5 = 60 cm cubed
What is the are a square with a side length of 3x + 4.
The probability of an economic decline in the year 2020 is 0.23. There is a probability of 0.64 that we will elect a republican president in the year 2020. If we elect a republican president, there is a 0.35 probability of an economic decline. Let "D" represent the event of an economic decline, and "R" represent the event of election of a Republican president. Use this information to answer the following four questions:
1 Are R and D independent events?
2 What is the probability of electing a Republican president and an economic decline in 2020?
3 If we experience an economic decline in 2016, what is the probability that a Republican president will have been elected in 2020?
4 What is the probability of economic decline or a Republican president elected in 2020 or both?
Answer:
1) D and R are NOT independent events
2) The probability of electing a Republican president and an economic decline in 2020 is 0.224
3) If we experience an economic decline in 2016, the probability that a Republican president will have been elected in 2020 is 0.9739
4) the probability of economic decline or a Republican president elected in 2020 or both is 0.646
Step-by-step explanation:
Let "D" represent the event of an economic decline, and "R" represent the event of election of a Republican president
Given that;
P(D) = 0.23
P(R) = 0.64
Conditional P(D | R) = 0.35
1) Are R and D independent events?
we know that two events A & B are independent events if; P(B | A) = P(B)
here, P(D | R) = 0.35 and P(D) = 0.23
so; P(D | R) ≠ P(D)
Therefore D and R are NOT independent events
2) The probability of electing a Republican president and an economic decline in 2020;
we know that;
P(D | R) = P(D ∩ R) / P(R)
we substitute
0.35 = P(D ∩ R) / 0.64
P(D ∩ R) = 0.35 × 0.64
P(D ∩ R) = 0.224
Therefore, The probability of electing a Republican president and an economic decline in 2020 is 0.224
3) If we experience an economic decline in 2016, what is the probability that a Republican president will have been elected in 2020?
P(R | D) = P(D ∩ R) / P(D)
we substitute
P(R | D) = 0.224 / 0.23
P(R | D) = 0.9739
Therefore, If we experience an economic decline in 2016, the probability that a Republican president will have been elected in 2020 is 0.9739
4) the probability of economic decline or a Republican president elected in 2020 or both
P(D ∪ R) = P(D) + P(R) - P(D ∩ R)
we subtitute
P(D ∪ R) = 0.23 + 0.64 - 0.224
P(D ∪ R) = 0.646
Therefore, the probability of economic decline or a Republican president elected in 2020 or both is 0.646
1. What is the value of the expression ƒ2 + 8 if ƒ = 7?
Answer:
f=8/5
Step-by-step explanation:
f*2+=f7
2f+8=f*7
2f+8=7f
2f=7f-8
2f-7f=-8
-5f=-8
2c=8 and after you have to do subtraction to check
Answer:
Whats the question?
Step-by-step explanation:
f(x)=-5x^2+4x-9 g(x)=8x^2-3x-4 find (f+g)(x)
Given:
The functions are
[tex]f(x)=-5x^2+4x-9[/tex]
[tex]g(x)=8x^2-3x-4[/tex]
To find:
The value of (f+g)(x).
Solution:
We know that,
[tex](f+g)(x)=f(x)+g(x)[/tex]
Putting the given functions, we get
[tex](f+g)(x)=-5x^2+4x-9+8x^2-3x-4[/tex]
On combining like terms, we get
[tex](f+g)(x)=(-5x^2+8x^2)+(4x-3x)+(-9-4)[/tex]
[tex](f+g)(x)=3x^2+x-13[/tex]
Therefore, the required function is [tex](f+g)(x)=3x^2+x-13[/tex].
Estimate 307‾‾‾‾√ between two consecutive whole numbers. Enter the numbers in the boxes below.
Answer:
17, 18
Step-by-step explanation:
closest perfect square that is lower than 307 is 289
closest perfect square that is greater than 307 is 324
[tex]\sqrt{289} < \sqrt{307} < \sqrt{324}[/tex]
[tex]17<\sqrt{307} <18[/tex]
241÷9 cevabı nedir ????
Answer:
26.7777778 or 26.78 rounded
Step-by-step explanation:
i will give brainliest if your answer is correct
Answer:
Faces
Step-by-step explanation:
They both have 5 faces each....
Hope it helps!!!
Maria invest 16,000 at 9% simple interest for five years. What is the total amount in the account at the end of the five year period
Answer:
23,200
Step-by-step explanation:
A = P(1 + rt)
A = 16,000(1 + (0.09)(5))
Simplify brackets first
A = 16,000(1 + 0.45)
A = 16,000(1.45)
A = 23,200
What does a geometric sequence contain
The geometric sequence is a sequence with a common ratio. The common ratio is the ratio between the succeeding term and the preceding term of a sequence and must be equal to a constant k.
Given a sequence 2, 4, 8, 16... This sequence is geometric in nature because of a constant common ratio of 2.'
Common ratio = 4/2 = 8/4 = 2
Hence a geometric sequence is characterized by its common ratio
You want to put $4,000 in a simple interest account. It has a 2.5% annual interest rate. How long will it take you to earn $500 in interest?
2 years
5 years
50 years
3.125
Answer and explain pleaseeeee.
Answer:
Answer : - diagonals of rhombus are perpendicular. According to the property of rhombus. Diagonals of rhombus are perpendicular. In this question the triangle NQM is a right angled triangle and it is clear that it is right angled triangle because he mentioned angle MQN = 90°
The geometric mean of a number and four times the number is 22. What is the number?
The number, such that the geometric mean of the number and four times the number is 22, will be 11.
What is the Arithmetic and Geometric mean of two numbers a and b ?The arithmetic mean of two numbers [a] and [b] is equal to (a + b)/2 and their geometric mean is equal to [tex]\sqrt{ab}[/tex]
We have the geometric mean of a number and four times the number is 22.
According to the question, we can write -
G.M. = [tex]\sqrt{ab}[/tex]
Assume that the number is [x]. Then the second number will be [4x]. So -
22 = √4x²
22 = √(2x)²
2x = 22
x = 11
Therefore, the number, such that the geometric mean of the number and four times the number is 22, will be 11.
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