In a right triangle, the sine of the angle opposite the side of length 4 cm is 0.8 cm.
In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse.
The angle opposite the side of length 4 cm can be calculated as:
The hypotenuse is the side of length 5 cm.
The calculation of the sine of the angle can be calculated using the formula:
[tex]Sine = \dfrac{Opposite}{hypotenuse}[/tex]
Substitute the value in the given formula.
[tex]Sine(A) = \dfrac{4}{5}[/tex]
Sine(A) = 0.8
So, the sine of the angle opposite the side of length 4 cm is 0.8 cm.
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WILL GVIE BRAINLIEST Use the given scale factor and the side lengths of the scale drawing to
determine the side lengths of the real object.
i don’t understand, what’s the answer to this pleaseeee
Answer:
I don't know the answer but I suggest u get help from a tutor
they help a LOT
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Answer:
The 3rd one
Step-by-step explanation:
I think
Answer:
it's the last one
'the slope of ab is different than the slope of BC
Step-by-step explanation:
helpp
please i rlly need thiss
Answer:
16
Step-by-step explanation:
Answer: 16
Step-by-step explanation:
4 to the second power is 4x4 and 4x4 is 16.
Helpppppppppppppppp
write a word problem whose solution is $111
Answer:
Step-by-step explanation:
Word problem is a topic in mathematics that involves the interpretation of a given question with a mathematical expression so as to determine the value of the required variable.
Example: The price of a pencil is $10, and that of a ruler is $15.25. If Charles bought 5 pencils and 4 rulers, calculate the total amount of money spent.
price of a pencil = $10
price of a ruler = $15.25
Then,
cost of 5 pencils = $10 x 5
= $50
cost of 4 rulers = $15.25 x 4
= $61
Total amount of money spent by Charles = $50 + $61
= $111
The total amount of money spent by Charles is $111.
A family of three goes to a salon. Each person gets a haircut and highlights. The cost of each haircut is $15, and the cost per person for highlights is x dollars. Write and simplify an expression that represents the total cost for the family at the salon
Answer:
45+3.x
Step-by-step explanation:
Each person gets a haircut --> 3.15= 45
Four more than twice a number is the same as 8 less than three times the same
number. What is the number?
Answer:
Step-by-step explanation:
The nth term of a sequence is 3n^2/2
A dinner bill for jeff came out $21.00.Jeff paid a total of $24.00 including tip.How big of a tip did jeff leave,as a percentage of the original bill?
Fill in the blank with a percent .Round your percent to whole numbers like 11%
Jeff left a tip of %
Simply the expression -2.5f + 0.2f - 11= 3
Answer:
f = ~-6.09 rounded to the hundredth
Step-by-step explanation:
-2.5f + 0.2f - 11= 3
-2.3f - 11 = 3
-2.3f = 14
f = -6.0869
Which equation represents the sentence:
Amanda's age is four less than three times Jacob's age.
A.a=3c−4
B.a−4=3c
C.4a=3+c
D.a=4−3c
Answer:
a.) 1/2n 4=3−5/n b.) 1/2(n 4)=5/n−3 c.) 1/2(n 4)=3−5/n d.) 1/2n 4=5/n−3
Let's assume the number be n.
So, sum of number and four can be written as n+4.
Now one-half of n+4 will be .
Quotient of five and the number can be written as .
Now three less \frac{5}{n} can be written as \frac{5}{n} -3.
So, one-half the sum of a number and four is three less than the quotient of five and the number can be converted into equation as follows:
So, b is the correct choice.
Step-by-step explanation:
Can you mark brainliest
Three pizzas are shared equally among 12 people.what fraction of a pizza will each person get
The difference of two numbers is 3. Their sum is 13. Find the numbers.
Answer:
Huh
Step-by-step explanation:
Answer:
The numbers are 8 and 5!
Step-by-step explanation:
8+5=13
8-5=3
To make enough chili for the chili cook-off, Lee needs 20 pounds of ground
turkey. The market sells 2 pounds of ground turkey for $5.00. How much should
Lee expect to pay for 20 pounds of ground turkey?
Pls answear im on a test
Answer:
50 dollars
Step-by-step explanation:
Help me !!!!!!!!!!!!!
Answer:
M AED = 32.5º
Explanation:
M AED = 1/2 x (113º - 48º) = 32.5º
This is an example of angles with vertex outside the circle and their arcs. The formula to find the measure of an angle with the vertex outside the circle is 1/2 x (difference of intercepted arcs), in this case it's 1/2 x (113º - 48º), which equals 32.5º.
If a+b=20 and ab=50
Then find the value of a^2+b^2
Here,
a+b=20
ab=50
we know that,
[tex]\tt{ (a+b)^2=a^2+b^2+2ab }[/tex] ⠀
According to the question,
[tex]\tt{(20)^2=a^2+b^2+2×50 }[/tex] ⠀
[tex]\tt{ 400=a^2+b^2+100 }[/tex] ⠀
[tex]\tt{ a^2+b^2=400-100 }[/tex] ⠀
[tex]\tt{a^2+b^2=300 }[/tex] ⠀
Answer:
a² + b² = 300
Step-by-step explanation:
a + b = 20 ; ab = 50
(a +b)² = a²+ b² + 2ab
a² + b² + 2ab = (a + b)²
a² + b² + 2*50 = (20)²
a² + b² + 100 = 400
a² + b² = 400 - 100
a² + b² = 300
A Government company claims that an average light bulb lasts 270 days. A researcher randomly selects 18 bulbs for testing. The sampled bulbs last an average of 260 days, with a standard deviation of 90 days. If the CEO's claim were true, what is the probability that 18 randomly selected bulbs would have an average life of no more than 260 days
Answer:
31.92% probability that 18 randomly selected bulbs would have an average life of no more than 260 days
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
In this question, we have that:
[tex]\mu = 270, \sigma = 90, n = 18, s = \frac{90}{\sqrt{18}} = 21.2[/tex]
What is the probability that 18 randomly selected bulbs would have an average life of no more than 260 days?
This is the pvalue of Z when [tex]X = 260[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{260 - 270}{21.2}[/tex]
[tex]Z = -0.47[/tex]
[tex]Z = -0.47[/tex] has a pvalue of 0.3192.
31.92% probability that 18 randomly selected bulbs would have an average life of no more than 260 days
is the relationship linear, exponential, or neither?
Your answer is linear.
PLS HELP I WILL GIVE BRAINLEST
Michelle is an architect who builds skyscrapers. She has a sheet of measurements that she needs convert before she can begin her next project. One wall is 12 ⅜ ft long and has a width of 19.73 ft. Change the given mixed number to a decimal. Circle the correct response.
A 12.3 ft
B 12.375 ft
C 12.38 ft
D 12.83 ft
Answer:
B 12.375 is the answer
Step-by-step explanation:
Key skills needed: Fraction to Decimal Conversion
1) The mixed number that is in the question is --> [tex]12\frac{3}{8}[/tex]
2) We need to find 12 and 3/8 as a decimal.
[tex]12\frac{3}{8}= 12 + \frac{3}{8}[/tex]
This means it would be 12."something"
We need to find out what [tex]\frac{3}{8}[/tex] as a decimal is.
3) To do this, we do 3 ÷ 8 (to find the decimal form of a fraction, you do the numerator divided by the denominator).
4) Check the image I posted to see how I did 3 ÷ 8.
5) Well based on the division, 3 divided by 8 is 0.375
This means that [tex]12 + \frac{3}{8} = 12 + 0.375 = 12.375[/tex]
Therefore 12.375 is your answer
Hope you understood and have a nice day!! :D
Select all the correct answers.
Which values of x are solutions to this equation?
-1/2+ 5x = 8
11.5
-1.5
-2
-8
8
3
Answer:
x = 1.7
Step-by-step explanation:
Given
-½ + 5x = 8
Required
Find x
-½ + 5x = 8
Multiply both sides by 2
-1 + 10x = 16
Collect like terms
10x = 16 + 1
10x = 17
Divide both sides by 10
x = 1.7
Answer:
8, and 2
Step-by-step explanation:
(btw the three in the question is suppose to be a 2)
but those two are the only ones that you can add and the equation still equal 8.
<3
Plz help I am in my unit test plz
The sugar maple tree in Sarah’s yard is the age of the oak tree in her yard. If the sugar maple is 12 years old, how old is
the oak tree?
a. The oak tree is 7 years old.
B. The oak tree is 2 years old.
C. The oak tree is 60 years old.
D. The oak tree is 17 years old.
Step-by-step explanation:
the oak tree is 17 years old
Please I need help! Answer as soon as possible
can sombody help me ill make you brainliest
Answer:
6^22
Step-by-step explanation:
15-(-7) = 22
6^22
Answer:
1679616
Step-by-step explanation:
What is the sum of the polynomials?
(8x^2 - 9y^2 - 4x) + (x^2 - 3y^2 - 7x)
* 7x^2 - 6y^2 + 3x
* 9x^2 - 6y^2 + 3x
* 9x^2 - 12y^2 + 3x
* 9x^2 - 12y^2 - 11x
Answer:
Option D
Step-by-step explanation:
(8x^2-9y^2-4x) +(x^2-3y^2-7x)
8x^2+x^2-9y^2-3y^2-4x-7x
9x^2-12y^2-11x
The sum of the polynomials is 4x² - 12y² - 11x. The correct answer is an option (D) 4x² - 12y² - 11x.
What is a polynomial?A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.
The polynomials are given as follows:
(8x² - 9y² - 4x) + (x² - 3y² - 7x)
By combining like terms, we can add the polynomials:
(8x² - 9y² - 4x) + (x² - 3y² - 7x)
= 8x² - 4x² - 9y² - 3y² - 4x - 7x
= 4x² - 12y² - 11x
Therefore, the sum of the polynomials is 4x² - 12y² - 11x.
Hence, the correct answer is option (D) 4x² - 12y² - 11x.
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ASAPPP!!!!
A large pizza costs $12 and each topping costs an additional $2.50.
This situation can be represented by the equation y = 12 + 2.5x, where x represents the number of toppings and y represents the total cost.
What is the total cost for 9 toppings?
-$23.50
-$14.25
-$ 34,50
-$ 22.50
Answer:
$22.50
Step-by-step explanation:
So if each topping cost 2.50 then just multiply by 9
Explain why the square root of a number is defined to be
equal to that number to the 1/2 power
9514 1404 393
Answer:
(x^(1/2))^2 = x^(2/2) = x
Step-by-step explanation:
The square root of a number, when multiplied by itself, gives the original number.
(√x)(√x) = x
The rule for exponents is that powers of the same base, when multiplied, will be the base to the sum of those powers.
(a^b)(a^c) = a^(b+c)
Also, the first power of a number is that number itself.
__
[tex]x^{\frac{1}{2}}\times x^{\frac{1}{2}}=x^{\frac{1}{2}+\frac{1}{2}}=x^1=x\\\\ \text{Compare to ...}\\\\ \sqrt{x}\times\sqrt{x}=x[/tex]
Answer:
Squaring and square root are inverses, so one should "undo" the other. That is, squaring the square root of a number results in the number. Using the power of a power rule, you multiply the exponents. Since a number to the first power is itself, the product of the exponents must equal 1. This means that the power of the square root must be the reciprocal of 2, or one half.
Step-by-step explanation:
EDGE 2020-2021
Help please who ever correct brainliest
Answer:
Step-by-step explanation:
5
3 _
18
Write the following equation symbolically.
One-sixth of the sum of x and 5 is 4 minus y.
I believe it is
[tex]\frac{1}{6}(x + 5) = 4 - y[/tex]
(c) Select all that describe JM.
K
Perpendicular bisector of KL
Angle bisector of 2
M
U Median of AJKL
u Altitude of AJKL
L
I None of the above
Answer: Can someone please help me on my most recent question?
Step-by-step explanation: Sorry man I dunno how to do this but I need help too