Answer:
18.0 cm
Step-by-step explanation:
[tex]hyp^{2} = opp^{2} + adj^{2}[/tex]
[tex]hyp^{2} = 6^{2} + 17^{2}[/tex]
[tex]hyp^{2} = 325[/tex]
[tex]hyp = 5\sqrt{13}[/tex]
[tex]= 18.028 cm[/tex]
Suppose you have a right triangle with congruent legs and a hypotenuse that measure (12√5)/5. What is the length of the smaller leg? Round to the nearest hundredth
Answer:
5.4 is the length
Step-by-step explanation:
5.333 - (12√5)/5 - round to nearest hundreth (5.4)
length total 5.4
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The length of the smaller leg is 3.8 unit.
What is Pythagoras theorem?Pythagoras theorem states that "the sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c)" i.e.
[tex]c^{2} = a^{2} + b^{2}[/tex]
Let the length of the leg be b and a.
According to the given question.
We have a rigth triangle which have congruent legs.
And hypotenuse, c = [tex]\frac{12\sqrt{5} }{5}[/tex]
Since, the legs are congruent.
Therefore,
a = b
Now, according to the Pythagoras theorem.
[tex]c^{2} = a^{2} + b^{2}[/tex]
[tex]\implies c^{2} = a^{2} + a^{2}[/tex]
[tex]\implies c^{2} = 2a^{2}[/tex]
[tex]\implies (\frac{12\sqrt{5} }{5} )^{2} = 2a^{2}[/tex]
[tex]\implies \frac{144\times 5}{25} = 2a^{2}[/tex]
[tex]\implies \frac{144}{5} = 2a^{2}[/tex]
[tex]\implies \frac{72}{5} = a^{2}[/tex]
[tex]\implies a = \sqrt{\frac{74}{5} }[/tex]
[tex]\implies a = \sqrt{14.8}[/tex]
[tex]\implies a = 3.84[/tex]
[tex]\implies a = 3.8[/tex] unit
Hence, the length of the smaller leg is 3.8 unit.
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PLEASE HELP !!!!!
An angle measures 52° more than the measure of its supplementary angle. What is the measure of each angle?
Answer:
64° and 116°
Step-by-step explanation:
2x + 52° = 180°
2x = 128°
x = 64°
I need help with my math assignment
Answer:
63
Step-by-step explanation:
×+15+102=180
×=180-102-15
×=64
Which unique sequence of rigid motions maps quadrilateral ABCD to quadrilateral EFGH?
6
5
A
IB
x
634
1 2 3 4 5 6
E
G
A
A reflection over the x-axis followed by a translation of (z,y) → (2, y - 4).
B. A reflection over the y-axis followed by a translation of (1,y) → (I, y-6).
C. A translation of (I, y) + (1, y-3) followed by a reflection over the y-axis.
A translation of (€,y) → (3-6, y) followed by a reflection over the x-axis.
Answer:
The unique sequence of rigid motions that maps quadrilateral ABCD to EFGH are;
B. A reflection over the y-axis followed by a translation of (I, y) → (I, y - 6)
('I' is the image of 'x' after reflection)
Step-by-step explanation:
The coordinates of the vertices of the quadrilateral ABCD are;
A(-5, 4), B(-2, 4), C(-2, 1), and D(-5, 2)
The coordinates of the vertices of the quadrilateral EFGH are;
E(5, -2), F(2, -2), G(2, -5), and H(5, -4)
By analysis, we have;
The signs of the x-coordinate of the preimage and the image are opposite, therefore, one of the rigid motions is a reflection across the y-axis
Similarly, the common difference between the y-coordinate values of the image and the preimage are;
-2 - 4 = -6
-2 - 4 = -6
-5 - 1 = -6
-4 - 2 = -6
The common difference between the y-coordinates of the image and the preimage is -6, therefore, the y-values are obtained by a translation of y - 6 units
Therefore, the unique sequence of rigid motions that maps quadrilateral ABCD to EFGH are a reflection over the y-axis followed by a translation of (I, y) → (I, y - 6).
The age of Mark’s dad is 4 less than twice Mark’s age. The sum of their ages is 95. Find their ages.
Answer:
mark is 33. his dad is 62
Step-by-step explanation:
You started a dog walking business. You spent $45 in start up costs and charge $12 per hour of
dog walking. How many hours must you walk before you have a minimum of $117?
Answer:
7
Step-by-step explanation:
What are a and b when you write √-16 in the form a+bi, when a and b are real number?
A) a=0, b=-4
B) a=0, b=4
C) a=-4, b=0
D) a=4, b=0
On comparing, we get {a} = 0 and {b} = 4.
What is the general form of a complex number?The general form of a complex number is -
z = a + ib
Given is the number as -
√-16
We can write the number √-16 in the form of (a + ib) as follows. We have -
√-16
√(- 1 x 16)
√(i² x 16)
√i² x √16
i√16
0 + i√16
0 + 4i
Therefore, on comparing, we get {a} = 0 and {b} = 4.
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The number a is 4/5 of the number b what part of number a is number b
Answer:
the number a is 4/5 of the number b 2 part of number a is number b
Answer:
5/4 of a
Step-by-step explanation:
The rabbit population at the city park increases by 14% per year. If there are intially 481 rabbits in the city park.
Write a model for the population (y) in terms of years (t).
y =
Find the population in 17 years.
Answer:
y = 0.14t + 481
Population in 17 years: 483.38
Step-by-step explanation:
y = (m) (x) + b
y = (slope) (x) + starting value
Is t = 9 a solution to this equation? 63 = 7 t
Answer:
Yes, 9 is the answer.
Step-by-step explanation:
This is a one step equation so you only have to preform one operation to solve. You do the inverse operation of what the equation is doing. In this case you are multiplying, which means you will divide to solve.
63/7 = 9
h(t)=3t-5
g(t)=t-2
Find (h·g)(t)
Answer:
[tex](3x - 5)(x - 2) = 3 {x}^{2} - 6x - 5x + 10 \\ = 3 {x}^{2} - 11x + 10[/tex]
PLEASE HELP ACED + +++++++++
Can someone help me pls
Answer: A=53.576 degrees
Step-by-step explanation:
Cos A= adjacent/hypt
Cos A= 19/32
Cos A= .59375
inverse of Cos A=.59375
A=53.576 degrees
Answer:
A = 53.58°
Step-by-step explanation:
cos A = 19/32
cos A = 0.5938
A = 53.58°
Alan has forgotten his 4-digit PIN code. He knows the second digit is even, and last digit is 7. How many different sets of 4 digits could it be?
Answer:
500
Step-by-step explanation:
What is the area of this figure?
Answer:
161
Step-by-step explanation:
8*14+13*3+(5*4)/2
112+39+10 = 161
Answer:
161 [tex]m^2[/tex]
Step-by-step explanation:
Divide the given figure up into smaller pieces, calculate the area of each of the smaller pieces and add up the area to find the total area of the figure. One can partition the figure into two rectangles with dimensions (14 by 8) and (13 by 3) respectively, and a (4 by 5) triangle.
The formula for the area of a rectangle is (base * height), substitute in the given values,
14 * 8 = 112
13 * 3 = 39
The formula for the area of a triangle is ([tex]\frac{(base)*(height)}{2}[/tex]), substitute in the given values and solve,
[tex]\frac{(5)*(4)}{2}[/tex] = 10
Now add up all the values to find the total area of the figure,
112 + 39 + 10 = 161
Can you help me answer this question???????
Answer:
3^12
Step-by-step explanation:
Помагите даю оччен много баллов
Answer:
2. 4.46
3. 12
Step-by-step explanation:
2. D = [tex]\frac{P}{\pi }[/tex] = [tex]\frac{14}{3.14}[/tex] = 4.458 = 4.46
3. [tex]\frac{4}{5} = \frac{x}{15}[/tex]
5 * x = 4 * 15
5x = 60
x = [tex]\frac{60}{5}[/tex] = 12
The owner of Chips etc. produces two kinds of chips: lime (L) and vinegar (V). He has a limited amount of the three ingredients used to produce these chips available for his next production run: 4800 ounces of salt, 9600 ounces of flour, and 2000 ounces of herbs. A bag of lime chips requires 2 ounces of salt, 6 ounces of flour, and 1 ounce of herbs to produce; while a bag of vinegar chips requires 3 ounces of salt, 8 ounces of flour, and 2 ounces of herbs. Profits for a bag of lime chips are $0.40, and for a bag of vinegar chips $0.50.
Is there a question to answer?
Which is equivalent to the expression?
(3x - 14)^2
a. 9x^2 - 84x + 196
b. 9x^2 + 84x + 196
c. 9x^2 + 196
d. 9x^2 - 196
Answer:
A
Step-by-step explanation:
(3x - 14)^2
9x^2 - 42x -42x +196
9x^2 - 84 +196 is the correct answer
I need help if you awnser right I will mark you
Answer:
300
Step-by-step explanation:
I think like 70 precent sure
which graph correspond to the following-2x-3y
Answer:
Hi! The answer to your question is in the picture below
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
A rectangular flower garden in Samantha's backyard has 140 feet around its edge. The width of the
garden is 30 feet.
What is the length of the garden?
The length of the garden is
feet.
Answer:
40 feet
Step-by-step explanation:
140=2×(30+x) /:2
70=30+x /-30
40=x
This jar has 1 red, 74 yellow, and 25 green gumballs. What are the chances of picking a green gumball? the red one?
Answer: green = 25/100, red = 1/100
Step-by-step explanation: add ALL of the gumballs, there's your denominator, now you have 0/100 (1+74+25), count the amount of marbles you want to get the probability of, lets say green, there's your numerator (25) = 25/100
Please help also how did u get ur answer
Your friends are purchasing a house for $182,000.
If they put 20% down, how much will they borrow for their mortgage?
The bank agreed to an APR of 3.15% for a 15 year mortgage. According to Excel, the monthly mortgage payment would be $1016.02. If your friends accept this loan, how much will they pay in total over the lifetime of the loan?
How much would be paid on interest over the life of the loan>
Answer:
YES SIR Answer is b
Step-by-step explanation:
help me please this gives 30 points
Answer:
12 pints
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Basically you need to use ratios using the gallons and pints
so for every 8 pints you get a gallon so the ratio would be 1:8 in the next number we have 1 and 1/2 we already found 1 gallon which is 8 then you need to find half of a gallon which is 8/2 or splitting the 8 in half which is 4. 8 pints (1 gallon) plus 4 pints (half a gallon) equals 12 pints. you can apply this rule for the next number we have 1 gallon which is 8 pints and we need to find 2 which would be 8 times 2 or 16 pints.
help me please i’ll give you brainliest
Answer:
He should have canceled x
pls somebody help me i need help on this
dont get it
Answer:
its 8.1
Step-by-step explanation:
if 1 mile is 5.4 you would divide that by two and then add 5.4 +2.7 which equals your answer 8.1
What is the length of the altitude of the equilateral triangle below?
Will give brainliest if correct.
The length of the altitude of the equilateral triangle below is E) 6√3.
The answer is E) 6√3.
The altitude of an equilateral triangle is the perpendicular line that is drawn from a vertex to the opposite side. The altitude bisects the opposite side and the angle at the vertex.
In this equilateral triangle, the side length is 6. The altitude bisects the opposite side, so the altitude is also 6. The angle at the vertex is 60 degrees, so the altitude forms a 30-60-90 triangle with the opposite side and the altitude.
The ratio of the side length to the altitude in a 30-60-90 triangle is 1:√3:2. So, the altitude is 6 * √3 = 6√3.
Therefore, the length of the altitude of the equilateral triangle is 6√3.
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A certain type of legal proceeding has three possible outcomes: in favor of party A, in favor of party B, or not in favor of either party. The outcomes are expected to be 40 percent, 20 percent, and 40 percent, respectively. A random sample of 40 cases is selected from a certain judge to investigate whether the judgeâs outcomes are consistent with the expected outcomes. A chi-square goodness-of-fit test is conducted, and the value of the chi-square test statistic is Ï2=9.19 with a corresponding pâvalue of 0.01. Assuming the conditions for inference were met, which of the following is the correct interpretation of the pâvalue?
a. There is a 1 percent chance that the company's claim is correct.
b. If the null hypothesis is true, there is a 1 percent chance that the company's claim is correct.
c. If the null hypothesis is true, there is a 1 percent chance of obtaining a chi-square value of 9.19.
d. If the null hypothesis is true, there is a 1 percent chance of obtaining a chi-square value of at least 9.19.
e. There is a 1 percent chance of obtaining a chi-square value of at least 9.19.
The basically it tells us the chances of the claim being true
If we assume the null hypothesis is correct.
What is the method of chi-square test?The Chi-Square Test of Independence determines whether there is an association between categorical variables.
We have given that,
The outcomes are expected to be 40 percent, 20 percent, and 40 percent, respectively.
If the null hypothesis is true, there is a 1 percent chance that the company’s claim is correct.
The p-value tells us the likeliness of our data occurring under the null hypothesis.
Therefore ,basically it tells us the chances of the claim being true
If we assume the null hypothesis is correct.
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HELP FAST ILL GIVE WHATVERR YOU WANT
: Selina weighs a metal sample in science class as being 20.8 grams. The actual weight of the sample is 20 grams. What is her percent relative error? Show your work.
Answer is 4%
If you keep subtracting 20.8 with any percent at all you would find your answer
If you need more work shown i will give you more by saying it in comments. ^^