Answer:
(c) 55°, 90°, and 35°
Step-by-step explanation:
Given lists of angle measures, you want to know which could be the interior angles of a triangle.
Angle sum theoremThe angle sum theorem tells you the sum of interior angles of a triangle is 180°. To find the angles that could be those of a triangle, check to see if their sum is 180°.
a) 60 +45 +70 = 175 ≠ 180
b) 30 +85 +25 = 140 ≠ 180
c) 55 +90 +35 = 180 . . . . . . . could form a triangle
d) 110 +15 +45 = 170 ≠ 180
The angle measures 55°, 90°, and 35° could be the interior angles of a triangle.
Round 235,414 to the nearest Tens
Answer:
235,414 rounded to the nearest tens is 235,410
Step-by-step explanation:
Hope that helps!
Step-by-step explanation:
Round 235,414 to the nearest Tens
235,414
235,410
I hope this helps
Jack's bicycle has a mass of 9 kilograms. What is the
mass of Jack's bicycle in grams?
Answer:
9000 grams
Step-by-step explanation:
1 kg = 1000 g
1 * 9 kg = 1000 * 9 g
9 kg = 9000 g
(Irrational Numbers MC)
Approximate -10 + √30 to the nearest tenth. HELP PLS
-10 + 5.47722~
=4.523~
round to nearest tenth = 4.5
Answer:
-4.5
Step-by-step explanation:
\(\sqrt{30}\) is approximately 5.47722557505. You can find this number with a calculator.
-10 + 5.47722557505 = -4.52277442495
To add a negative and a positive number, you subtract the absolute values and take the sign of the number that has the larger absolute value. Absolute value just means thinking of both numbers as positive numbers.
Helping in the name of Jesus.
x^2+ bx +c= (x + 3) (x + m)
Answer:
x= c-3m/m+3-b
Step-by-step explanation:
use Math way
Step-by-step explanation:
(b-m-3)x-3m+c =0
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hope u got it!!
A line passes through point (6,7) and has a slope of -3/2.
Write an equation in Ax + B y=C form for this line.
Use integers for A, B, and C.
Answer:
Equation of line is given as y = mx + c, where m is the slope and c is the y-intercept.
Since line has a slope of -3/2, equation is y = -3/2x + c.
Substitute (6,7) into the equation to find c.
7 = -3/2(6) + c
c = 16
Hence equation of line is y = -3/2x + 16.
What is 2 log (5x) +1/3 log (x2+6
Answer:
Step-by-step explanation:
(5x)² + ∛(x²+6)
Answer:
Log 5x^2 ( x^2 + 6) ^(1/3)
Step-by-step explanation:
Explanation shown in the attachment; this could have been further simplified using binomial expansion
I need help with this if you get it right I will mark you as brainlest
Answer:
The answer is 300!
Step-by-step explanation:
Answer: $300
Step-by-step explanation:
How we find it out is by finding 25% of $1,200 which is 300
What is the Cubed root of -108
Answer:
about -4.7622
Step-by-step explanation:
You want the cube root of -108.
CalculatorYour calculator will tell you the cube root of -108 is about -4.7622.
__
Additional comment
Some calculators compute roots using logarithms. Since the logs of negative number are not real, they will give you an error if you try to do this directly. You have to know that the odd index root of a negative number is the opposite of the same root of its absolute value.
The prime factoring of 108 is 2²·3³. Factoring out the perfect cube gives the simplified form ...
∛-108 = -3∛4
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How many 11-card hands are possible with a 20-card deck?
There is only 1 possible 11-card hand that can be formed from a 20-card deck.
To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.
The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.
The formula for combinations is:
nCk = n! / (k!(n-k)!)
Where "!" denotes the factorial of a number.
Substituting the values into the formula:
20C11 = 20! / (11!(20-11)!)
Simplifying further:
20C11 = 20! / (11! * 9!)
Now, let's calculate the factorial values:
20! = 20 * 19 * 18 * ... * 2 * 1
11! = 11 * 10 * 9 * ... * 2 * 1
9! = 9 * 8 * 7 * ... * 2 * 1
By canceling out common terms in the numerator and denominator, we get:
20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)
Performing the multiplication:
20C11 = 39,916,800 / 39,916,800
Finally, the result simplifies to:
20C11 = 1
Consequently, with a 20-card deck, there is only one potential 11-card hand.
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Please gimme the variables to define the sytem and 2 system of equations
Answer:
\(8.5x+4y=99.5,\ x+y=17\)
Step-by-step explanation:
\(\mathrm{System\ of\ equations:}\\8.5x+4y=99.5\\x+y=17\\\mathrm{where,}\ x\ \mathrm{is\ the\ number\ of\ popcorns\ and\ }y\mathrm{\is\ the\ number\ of\ candies}\)
Given: The coordinates of rhombus WXYZ are W(0, 4b), X(2a, 0), Y(0, -4b), and Z(-2a, 0).
Prove: The segments joining the midpoints of a rhombus form a rectangle.
As part of the proof, find the midpoint of YZ.
The midpoint of segment YZ is (-a, -2b).
Given the coordinates of the rhombus WXYZ:
W(0, 4b)
X(2a, 0)
Y(0, -4b)
Z(-2a, 0)
Find the midpoint of YZ:The midpoint formula is given by:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
Substituting the coordinates of Y and Z:
Midpoint of YZ = ((0 + (-2a)) / 2, (-4b + 0) / 2)
= (-a, -2b)
Therefore, the midpoint of segment YZ is (-a, -2b).
Show that the segments joining the midpoints are perpendicular:To demonstrate that the segments joining the midpoints of the rhombus are perpendicular, we need to prove that the slopes of these segments are negative reciprocals of each other.
Let's consider the segments joining the midpoints:
Segment joining the midpoints of WX and YZ:
Midpoint of WX: ((0 + 2a) / 2, (4b + 0) / 2) = (a, 2b)
Midpoint of YZ: (-a, -2b)
Slope of WX = (2b - 4b) / (a - 0) = -2b / a
Slope of YZ = (-2b - (-4b)) / (-a - 0) = 2b / a
The slopes of WX and YZ are negative reciprocals of each other, indicating that these segments are perpendicular.
Conclusion:We have shown that the segments joining the midpoints of a rhombus are perpendicular to each other and have equal lengths. Therefore, these segments form a rectangle.
Additionally, the midpoint of segment YZ is (-a, -2b).
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b. The sum of two consecutive integers is 109. Determine the integers in 4 steps.
Step 1:
Step 2:
Step 3:
Step 4:
The value of the first and second integers are 54 and 55 respectively.
What are the consecutive integers?Let
First integer = x
Second integer = x + 1
Sum of the integers = 109
So,
First integer + Second integer = Sum of the integers
x + (x + 1) = 109
x + x + 1 = 109
2x + 1 = 109
Subtract 1 from both sides
2x = 109 - 1
2x = 108
divide both sides by 2
x = 108/2
x = 54
Ultimately,
First integer = x
= 54
Second integer = x + 1
= 54 + 1
= 55
Therefore, the solution in 4 steps are;
Step 1: x + (x + 1) = 109
Step 2: 2x + 1 = 109
Step 3: 2x = 108
Step 4: x = 54
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Robert mixed 1 1 3 liters of blue paint with 1 2 3 liters of red paint to make 3 liters of purple paint. To make a new batch of purple paint he used 2 liters of red paint. Using the same ratio, Robert should use Response area liters of blue paint . brainly
Answer: Hence, \(1\dfrac35\) liters of blue paint have been used.
Step-by-step explanation:
Given: Robert mixed \(1\dfrac13\) liters of blue paint with \(1\dfrac23\) liters of red paint to make 3 liters of purple paint.
\(1\dfrac13=\dfrac{4}{3}\\\\ 1\dfrac23=\dfrac{5}{3}\)
Ratio of blue paint to red paint = \(\dfrac{\dfrac{4}{3}}{\dfrac53}=\dfrac{4}{5}=4:5\)
let x be the quantity of blue paint used with 2 liters of red paint..
Then
\(x:2=4:5\\\\\Rightarrow\ x=\dfrac{4\times2}{5}\\\\\Rightarrow\ x=\dfrac85=1\dfrac35\)
Hence, \(1\dfrac35\) liters of blue paint have been used.
The amount of blue paint used is \(1\dfrac{3}{5}\) liters and this can be determined by using the arithmetic operations.
Given :
Robert mixed \(1\dfrac{1}{3}\) liters of blue paint with \(1\dfrac{2}{3}\) liters of red paint to make 3 liters of purple paint.To make a new batch of purple paint he used 2 liters of red paint.Amount of Blue Paint = 4/3 liters
Amount of Red Paint = 5/3 liters
Now, the ratio of blue paint to red paint is given by:
\(=\dfrac{\dfrac{4}{3}}{\dfrac{5}{3}}\)
\(=\dfrac{4}{5}\)
Now, assume that the amount of blue paint that is used with 2 liters of red paint is 'a'. Then it is given that using the same ratio, Robert should use response area liters of blue paint, that is:
\(\dfrac{a}{2}=\dfrac{4}{5}\)
\(a = \dfrac{8}{5}\)
\(\rm a = 1\dfrac{3}{5} \; liters\)
Therefore, it will be said that \(1\dfrac{3}{5}\) liters of blue paint is used.
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If EF=8 and DF=12, what is DE
Answer: The Answer would be 4 as you are trying to solve for DE. You are given DF (the length of the line) and a part of the line (8). You would then subtract 12 by 8, and there you have it, you have your answer, 4!
Joleen and Pablo want to fertilize a rectangular garden
with an area of A square feet. They know that 5 cups of
fertilizer will cover an area of 240 square feet. They each
write an equation to represent the relationship between
the area, A, and the number of cups of fertilizer, c.
Joleen's equation: A = 480
Pablo's equation: c = 45
:
-А
Which of the equations is correct? Explain how you know.
Answer: A
Step-by-step explanation:
Because 489 + 45
Entomologists are biological scientists who study insects. Entomologists studying tree crickets have found that they chirp at different rates depending on the temperature. The number of chirps per minute, C , that the tree cricket makes is linearly dependent on the temperature, T , in Fahrenheit. The crickets do not chirp at all if the temperature is 40 degrees and at 60 degrees they chirp about 92 times per minute.
A) Express the number of chirps, C , as a function of the temperature, T . Use function notation, and round decimals to one decimal place.
B) How many chirps per minute will crickets make at 75 degrees?
Step 1
Find the rate change at which the crickets are chirping.
Step 2
Find the function
2 = x
3 26
How do i solve this equation
Answer:
do the butterfly method if you don't know how to do that comment and I'll show you a screenshot
help me please i would appreciate it so so much
Answer:
w = 120
x = 60
y = 120
z = 60
Step-by-step explanation:
w = 120 (vertically opposite angles)
sum of co interior angles is 180
⇒ w + x = 180 and x + y = 180
w + x = 180
⇒ 120 + x = 180
⇒ x = 180 - 120
⇒ x = 60
x + y = 180
⇒ 60 + y = 180
⇒ y = 180 - 60
⇒ y = 120
z = x (corresponding angles)
z = 60
Write a linear equation to describe the number pattern that starts with 3 and continues with positive odd integers.
In order to have a linear equation, you have to write an equation like
\(y=mx+q\)
The sequence has to start with 3, so we must choose \(q=3\), because this guarantees that when \(x=0\) we have
\(y=0\cdot m + 3 =3\)
Now, \(m\) must be even. In fact, if \(m\) is even, \(mx\) will always be even for every possible \(x\), and \(mx+3\) will be odd.
So, for example, you might choose
\(y=2x+3\)
Which will produce the following sequence:
\(\begin{array}{c|c}x&f(x)\\0&3\\1&5\\2&7\\3&9\end{array}\)
and so on
find the ordered pair
The ordered pair that is a solution of the system is (-3, -3), the second option.
Which ordered pair is a solution of the system of inequalities?There are two ways of finding this.
You can use your graph and identify which of the given pointes lies in the region where the two shaded areas intersect.
Another way, is replacing the values of the coordinate points in both inequalities and checking that both are true when evaluated in the point.
Here we will use the graph, because you already had it (and you can see a more precise graph in the image at the end).
We can see that the region os solutions is on the left side of the graph, and the only point that lies on there is (-3, -3)
So that point is the solution.
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The ratio of red pens to blue pens in maxs drawer is 4 to 5 how many red pens and how many blue pens are there in the drawer if there are 342 pens altogether? HELP PLEASE
There are 152 red pens and 190 blue pens in Max's drawer, given that there are a total of 342 pens altogether.
Let's solve the problem step by step:
Identify the given information:
The ratio of red pens to blue pens is 4 to 5.
There are a total of 342 pens in the drawer.
Set up the ratio equation:
Let's assume the number of red pens is 4x, and the number of blue pens is 5x.
Here, 'x' is a scaling factor that allows us to find the actual number of pens.
We can write the equation as: 4x + 5x = 342.
Simplify and solve the equation:
Combining like terms, we have 9x = 342.
Divide both sides of the equation by 9 to solve for 'x':
x = 342 / 9 = 38.
Calculate the number of red pens and blue pens:
Now that we have the value of 'x', we can find the number of red and blue pens:
Number of red pens: 4x = 4 × 38 = 152.
Number of blue pens: 5x = 5 × 38 = 190.
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what is the answer to round up 18.527 to the nearest tenth.
Answer:
18.5
Step-by-step explanation:
27 rounds up to 30. 53 rounds up to 50
Answer:
19.00
Step-by-step explanation:
solve for w, simplify your answer as much as possible
Answer:
W=3
Step-by-step explanation:
(6w + 4w)/48=5/8(taking lcm)
6w+4w=5/8*48
10w=30
W=3
Thanks for putting qsn, makes me remember this againa
What is the percent of discount to the nearest percent on a pair of jeans that are $39.99
Work out the volume of this hemisphere.
Give your answer to 1 decimal place.
1
8 cm
The volume of the hemisphere to 1 decimal place is 268.1 cm^3.
What is volume?Volume is the measure of the amount of space an object occupies or the space something takes up. Volume is typically measured in cubic centimeters, milliliters, liters, gallons, and cubic feet. Volume can also be used to describe the loudness of a sound or the amount of something that is produced. Volume is an important concept in physics and chemistry, as it is related to the properties of matter and energy.
To work out the volume of a hemisphere we can use the formula V = (2/3πr^3). Therefore, in this case, the volume of the hemisphere is (2/3πx8^3) = 268.08 cm^3. Therefore, the volume of the hemisphere to 1 decimal place is 268.1 cm^3.
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Annie and her sister shared a cheese pizza. Annie ated of the pizza, and her sister ate of the pizza. Whic
amount of pizza that Annie and her sister ate and the amount of pizza left?
OA / - 1 = 1
1 - 6 = 1
Answer:
A
Step-by-step explanation:
A is the answer I'm sure of it
Can someone help me?
What is 90 x 26?
Answer:
2340
Step-by-step explanation:
Answer:
2340
Step-by-step explanation:
What is the product of (9)(-9)(-1)? -
81
-1
1
81
Answer:
81
Step-by-step explanation:
Answer:
D.81
Step-by-step explanation:
happy chrismas every one
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54/10 converted to mixed number simply if needed ANSWER QUICK
Answer:
54/10= 5,4 but if you want to a simple broken number it is 27/5
Solve.
Morgan's school is 10 miles from his house on the same
street. If he walks down the street directly from his school
to his house he passes a park and a snack shack. The park
is 2.55 miles from the school to the and the snack shack is
3.45 miles from the park. How many miles is it from the
park to Morgan's house?
2021 Gifted on the Go
The distance between Morgan's house and the park is 7 miles.
How many miles is it from the park to Morgan's house?We know that the Morgan's house, the park, the snach shack, and the high school are on the same street.
We know that the distance between Morgan's house and the school is 10 miles.
The distance between the park and the high school is 2.55mi, the the distance between Morgan's house and the park is:
10 mi - 2.55mi = 7.45mi
And the snack shack is at 3.45 miles from the park, then we will get that the distance between Morgan's house and the snack shack is:
7.45mi - 3.45mi = 4mi
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