Given that line CD is a perpendicular bisector of triangle ABC, if side AB has a length of 6 and side AC has a length of 12 what is the length of side CD? Write your answer to the
nearest hundredth ie 179.50.
Using the Pythagorean Theorem, the length of CD, to the nearest hundredth, is: 11.62.
How to Apply the Pythagorean Theorem?The measure of the longest side of a right triangle when squared will be equal to the sum of the squares of the other smaller sides of the right triangle.
Given the following:
Side AB = 6
Side AC = 12
Based on the perpendicular bisector theorem, AD = 1/2(AB) = 1/2(6) = 3.
Using the Pythagorean theorem, we have:
Length of CD = √(AC² - AD²)
Length of CD = √(12² - 3²)
Length of CD = √(144 - 9)
Length of CD = 11.62
Thus, using the Pythagorean Theorem, the length of CD, to the nearest hundredth, is: 11.62.
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What can 1/3 be rewritten as?
Answer:
2/6,
Step-by-step explanation:
Solve what is x over 3=6
Answer:y=x
y=3
y=6
Step-by-step explanation: Haha dont trust me, i bet that this is wrong
Need the value of X. Thank you!
Ok let's begin
These are adjacent complementary angles, these two guys together equal 90 degrees.
so we line them up into an equation
5x-18+4x+45 = 90
9x = 90 - 27
9x = 63
x = 7
Hope this helps
HELP! will give brainliest ONLY if correct. 50 POINTS!!
Identify the type of function graphed to the right.
O linear
O exponential
O other
For an increase of 1 in the x-value, what is the increase in the y-value?
Answer:
A
Step-by-step explanation:
The first part is Linear and 2. The second part is exponential and 3.
Step-by-step explanation:The first graph is linear and they are asking for "2" in the bottom answer box because it grows by 2 every time.
The second graph is exponential growth and they are asking for "3" in the bottom box.
Have a terrific day, Hope this helps!!
how many grams are in 50g li
A carpenter needs to cut a small triangular pice of wood for part of a jewelry box. He knows the dimension shown and that 0=68°. What is the length of a to the nearest tenth of a centimeter?
Answer:
36.0 cm
Step-by-step explanation:
use cosine to find the value of a
cos(68) = a/96 Multiply both sides by 96
a = cos (68) * 96
a = 35.96
Round to nearest tenth: 36.0 cm
Answer:
36.0 cm
Hope this helped have an amazing day!
6.
Given the graph, select yes or no for each
statement.
-2
2
X
2
a. The domain is (-∞, 4].
b. The range is (-∞, 4].
Yes
O
O
No
O
O
Select no for both a and b.
Disclaimer:
The graph is not attached to the question.
And the function is also not clear.
Assume that the given question is f(x) = -4x².
Refer to the answer below.
The given function does not have any undefined points or domain constraints.
Therefore, the domain for this function f(x) is the set of all real numbers.
The minimum value of the function f(x) is -∞.
The maximum value of the function f(x) is 0.
Therefore, the range is (-∞, 0].
Option a:
The domain is (-∞, 4].
So, the answer is no for this option.
Option b:
The range is (-∞, 4].
So, the answer is no for this option.
Refer to the attached graph for this function.
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how do I find the absolute value of |2y-9|=1
Answer:
y=4,5
Step-by-step explanation:
Anything inside an absolute value will become postive.
So, 2y-9 can be -1 because the absolute value of -1 is 1.
Knowing this,
2y-9 = 1
or
2y-9 = -1
2y-9=1
2y=10
y=5
and
2y-9=-1
2y=8
y=4
y=4,5
Find six rational numbers between 3/5 and 3/4
Answer:
six rational number are
3/5 × 4= 12/20
3/4 ×5 =15/20
we have to find six rational number between 12/20 and 15/20, so we have to multiply numerator and denominator by 7
12×7= 84
20×7=140
15/20×7=105/140
85 ,86 , 87 ,88 89 90
140, 140, 140, 140, 140 ,140
Answer:
[tex]\sf \dfrac{121}{200} \ ; \ \dfrac{122}{200} \ ; \ \dfrac{123}{200} \ ; \ \dfrac{124}{200} \ ; \ \dfrac{125}{200} \ ; \ \dfrac{126}{200}[/tex]
Step-by-step explanation:
To find six rational numbers between the given numbers,
Check if both rational numbers have the same denominator. If not find the LCM of the denominators.LCM of 5 and 4 is 20.
Find equivalent fractions using the LCM.[tex]\sf \dfrac{3}{5}=\dfrac{3*4}{5*4}=\dfrac{12}{20}\\\\\\\dfrac{3}{4}=\dfrac{3*5}{4*5}=\dfrac{15}{20}[/tex]
Now, multiply numerator and the denominator of each of the rational number by 10[tex]\sf \dfrac{12*10}{20*10}=\dfrac{120}{200}\\\\\dfrac{15*10}{20*10}=\dfrac{150}{200}[/tex]
[tex]\sf \text{six rational numbers between} \ \dfrac{3}{5} \ and \ \dfrac{3}{4}\ are :[/tex]
[tex]\sf \dfrac{121}{200} \ ; \ \dfrac{122}{200} \ ; \ \dfrac{123}{200} \ ; \ \dfrac{124}{200} \ ; \ \dfrac{125}{200} \ ; \ \dfrac{126}{200}[/tex]
What is the answer to -12 = 4(f-6)
Answer:
Step-by-step explanation:
-12 = 4(-6 + f)
-12 = (-6 * 4 + f * 4)
-12 = (-24 + 4f)
-12 = -24 + 4f
Solving for variable 'f'.
Move all terms containing f to the left, all other terms to the right.
Add '-4f' to each side of the equation.
-12 + -4f = -24 + 4f + -4f
Combine like terms: 4f + -4f = 0
-12 + -4f = -24 + 0
-12 + -4f = -24
Add '12' to each side of the equation.
-12 + 12 + -4f = -24 + 12
Combine like terms: -12 + 12 = 0
0 + -4f = -24 + 12
-4f = -24 + 12
Combine like terms: -24 + 12 = -12
-4f = -12
Divide each side by '-4'.
f = 3
Simplifying
f = 3
Hope helps you
Can someone tell me why these are wrong? There is no context to this question just the table.
Answer:
Step-by-step explanation:
I do not know, it doesn't make sense.
Name the property of real numbers illustrated by the equation (2 + x) + 3 = 2 + (x + 3).
Identity Property
Distributive Property
Associative Property
Commutative Property
Answer:
This equation illustrates the associative property of the real number field, [tex](\mathbb{R},\, +,\, \cdot)[/tex].
Step-by-step explanation:
All four choices here are indeed properties of the field of real numbers, [tex](\mathbb{R},\, +,\, \cdot)[/tex]. However, the equation [tex](2 + x) + 3 = 2 + (x + 3)[/tex] makes use of only the associative property.
Identity PropertyBy identity property of fields, the real number field [tex](\mathbb{R},\, +,\, \cdot)[/tex] should contain an identity element [tex]e \in \mathbb{R}[/tex], such that for any element of that field [tex]a \in \mathbb{R}[/tex]:
[tex]a + e = a[/tex].
In particular, the identity element of the real number field [tex](\mathbb{R},\, +,\, \cdot)[/tex] is the real number [tex]0[/tex]. The identity property (of addition) would then read:
[tex]a + 0 = a[/tex] for any [tex]a \in \mathbb{R}[/tex].
Distributive PropertyBy the distributive property of fields, for any three elements ([tex]a,\, b,\, c \in \mathbb{R}[/tex]) of the real number field [tex](\mathbb{R},\, +,\, \cdot)[/tex]:
[tex]a\cdot (b + c) = a \cdot b + a \cdot c[/tex].
[tex](a + b) \cdot c = a \cdot c + b \cdot c[/tex].
Note that this property features both addition and multiplication in the same equation. However, the equation in the question includes only addition. Therefore, this property would not apply here.
Associative PropertyBy the associative property of fields, for any three elements ([tex]a,\, b,\, c \in \mathbb{R}[/tex]) of the real number field [tex](\mathbb{R},\, +,\, \cdot)[/tex]:
[tex]a + (b + c) = (a + b) + c[/tex].
[tex]a \cdot (b \cdot c) = (a \cdot b) \cdot c[/tex].
In particular, the equation [tex](2+ x) + 3 = 2 + (x + 3)[/tex] (where [tex]x \in \mathbb{R}[/tex]) illustrates the associative property of addition of the real number field.
Note that even though the location of the parentheses have changed, the elements are still in the same place (with [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] in the same order on both sides of the two equations.)
Commutative PropertyBy the commutative property of fields, for any two elements ([tex]a,\, b\in \mathbb{R}[/tex]) of the real number field [tex](\mathbb{R},\, +,\, \cdot)[/tex]:
[tex]a + b = b + a[/tex].
[tex]a \cdot b = b \cdot a[/tex].
The commutative property of fields allow the elements in the additions and in multiplications to be rearranged. (In contrast, the associative property allows for only the rearrangement of the parentheses.)
That doesn't apply to [tex](2+ x) + 3 = 2 + (x + 3)[/tex] because the numbers and symbols appear in the same order on both sides of the equation.
Answer:
associative property
Step-by-step explanation:
:)
Solve the inequality for y.
y+
7
-
8
4
Simplify your answer as much as possible.
Answer: y>-5/8
Step-by-step explanation:
y+7/8>1/4
y>1/4-7/8
y>2/8-7/8
y>(2-7)/8
y>-5/8
For every 4 regular sodas sold at a market, there are 2 diet sodas sold. What is the ratio of diet sodas sold to the total number of sodas sold?
Answer:
1/3
Step-by-step explanation:
The total number of sodas sold is 6, which means the amount of diet soda compared to that is 2/6. This can be further simplified to 1/3.
7 is what percent of 8
Answer:
87.5%
Step-by-step explanation:
.
..
...
....
......
......
....
....
7 is 87.5 percent of 8.
Here, we have,
given that,
7 is what percent of 8
now, let,
x% of 8 is 7.
we know that,
of means multiply
now, we have,
x% of 8 is 7..
=> x% × 8 = 7.
=> x% = 7/8
=> x% = 0.875
=> x = 0.875 * 100
=> x = 87.5
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Tay is making jam. The recipe calls for `3` strawberries for each apple.
Complete the table showing some possible combinations of the number of each type of fruit in the jam.
Answer:
were is the chart? so I can answer
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Indicate, in standard form, the equation or inequality that is shown by the graph.
The equation that is shown by the graph is y = -x + 4
How to determine the equation or inequality that is shown by the graph?From the graph, we have the following observation:
The line of the graph is a straight lineNo parts of the graph are shadedThe above means that the graph represents a linear equation
The points on the graph are
(0, 4) and (4, 0)
Calculate the slope using
m = (y2 - y1)/(x2 - x1)
This gives
m = (0 - 4)/(4 - 0)
Evaluate
m = -1
The linear equation is represented as
y = mx + c
So, we have
y = -x + c
Where c = y, when x = 0
So, we have:
c = 4
This means that
y = -x + 4
Hence, the equation that is shown by the graph is y = -x + 4
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What it the value of the digit in the ones place in each numbers? 431
Answer: 1
Step-by-step explanation:
The ones place is the place furthest to the right before the decimal. In this case, the decimal is implied because 431 is a whole number. 431 can also be written as 431.0 which more clearly shows this.
The ones place contains the value 1.
In case you need it later,
The tens place is 3 and the hundreds place is 4.
7 times the sum of a number and 8 is 2
Answer:
-7.71
Step-by-step explanation:
let the number be n
7 (n + 8) = 2
7n + 56 = 2
7n = 2-56 = -54
n = -54/7 = -7.71
What is the probability of picking a green marble and rolling an even number?
The probability of getting a green marble and rolling an even number is
4/29.
What is defined as the compound events?A compound event is one that includes more than one sample point.
Compound events are slightly more complicated than simple events. Such events involve the possibility of multiple events occurring concurrently.The probabilities of the both events are multiplied to find compound events.For the given question, we must multiply the probability of selecting a green marble and going to roll an even number.
The total marbles contained in the jar are;
10 red marbles, 8 green marbles, 5 blue marbles, and 6 white marblesThe formula for probability is;
P(event) = favourable outcome/total outcome
There are six sides to a die/number cube. Each has a 1/6 chance of happening.
There are three even numbers in this situation. The probability of an even number is:
P(even) = 3/6 = 1/2
The probability of selecting the green marble;
P (green marble) = 8/29
We must now determine the likelihood of both events occurring. So multiply both probabilities to get the following answer:
8/29 × 1/2 = 4/29
The probability of selecting a green marble as well as rolling an even number are 4/29.
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The complete question is-
A jar contains 10 red marbles, 8 green marbles, 5 blue marbles, and 6 white marbles. You also have a number cube. What is the probability of choosing a green marble and rolling an even number?
Answer:21/72 for IXL
Step-by-step explanation:
If you add two to twice a number, the result is twelve. What is the number?
The unknown number will be 5 if we add two to twice a number, the result is twelve.
Let the unknown number be x.
Then the twice of the known number be 2x.
According to the given question.
If we add two to twice a unknown number, the result is twelve.
So, from the given scenario we can say that
2 + 2x = 12
Now we have a linear equation in one variable 2 + 2x = 12 and we have to solve it for x which gives us the unknown number.
Therefore,
2 + 2x = 12
⇒ 2x = 12 - 2 (subtracting 2 from both the sides)
⇒ 2x = 10
⇒ x = 10/2
⇒ x = 5
Hence, the unknown number will be 5 if we add two to twice a number, the result is twelve.
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add the following fractions and simplify the answer if possible.on your answer sheet draw and color each scoop of ice cream based on the flavor for each answer.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Top down, left to right, the sums are ...
1/3 +3/6 = 2/6 +3/6 = 5/6 . . . pink
1 1/5 + 1 2/10 = 1 1/5 + 1 1/5 = (1 +1) +(1/5 +1/5) = 2 2/5 . . . green
2 2/6 +1 2/8 = 2 1/3 +1 1/4 = (2 +1) +(4/12 +3/12) = 3 7/12 . . . violet
1/7 +2/3 = 3/21 +14/21 = 17/21 . . . yellow
2 3/4 +2/6 = 2 9/12 +4/12 = 2 13/12 = 3 1/12 . . . brown
Plz help me with this i beg of you. I will mark you brainliest!!!
Answer:
13/15
Step-by-step explanation:
love the pic of deku
Find the exact value of sin-1 √3/2
Answer:
θ= 60° or 120°Step-by-step explanation: if im wrong im srry
question is in the photo
Gianni used 6 gb out of 8 gb includes in his cell phone plan. What percent of his data did he use
Answer:
75%
Step-by-step explanation:
If he used 6 out of 8 gb of his cell phone plan we can write that as a fraction as 6/8.
We can simplify 6/8 to 3/4. And 3/4 when divided is equal to 0.75 which when written as a fraction is 75%.
I hope this helps!
4x + 2y =19 3x+3y = 17.25
Answer: 4x=3y-19 3x+2y=24 its 24
Answer: x
=
3.75
,
y
=
2
Step-by-step explanation:
Yancey Smith works part-time as a sales assistant. Last week
he earned $240.00. This week he earned $325.00. Yancey is
single and claims 2 allowances. Using the percentage method,
how much more will be withheld this week for federal
income tax?
The required amount to be held this week for federal tax is $12.75.
Here,
Last week's earnings = $240
Difference with marked amount = $240 - $195 = $45
This comes under type 2
So tax = 14 + 15% of 45
tax = 14.40 + 6.75
tax = $21.15
This week's earnings = $325
The difference with marked amount = $325 - $195 = 130
Tax = 14 + 15% of 130
Tax = 14.40 + 19.5
Tax = 33.9
the amount held this week = 33.9 - 21.15
= $12.75
Thus, the required amount to be held this week for federal tax is $12.75.
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What value is perpendicular to a slope of m = 2? *