Answer:
53.13⁰
Step-by-step explanation:
Use sine:
sinθ=opposite/hypotenuse
sin∠A=4/5
∠A=sin⁻¹(0.8)=53.13010235415≈53.13⁰
The measure of angle A is 53.13 degrees in right triangle ABC.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
The given triangle ABC is a right angled triangle
AB=3cm, BC=4cm and AC is 5cm
We have to find the ∠A
By using sine rule we find this
sin∠A = opposite side/hypotenuse
=4/5
sin∠A =0.8
Take sin⁻¹ on both sides
∠A =sin⁻¹(0.8)
= 53.13 degrees.
Hence, the measure of angle A is 53.13 degrees.
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Following a major earthquake, the cite engineer must determine whether the stadium is structurally sound for an upcoming athletic event. If the null hypothesis is" the stadium is structurally sound, and the alternative hypothesis is the stadium is not structurally sound," which type of error (Type I or Type II) would the engineer least like to commit?
If we are missing the percent, then what
will go over 100 in the percent proportion?
Answer:
the percentage that you are trying to find
for ex if you were trying to figure out how to find 4.5 % thank you would put the over 100% and then divide it.
Step-by-step explanation:
HELP WILL GIVE BRAINLIEST!!! Which of the following is not a way to represent the solution of the inequality 3(2x − 1) greater than or equal to 4(2x − 3) − 3?
x less than or equal to 6
6 greater than or equal to x
A number line with a closed circle on 6 and shading to the left
A number line with a closed circle on 6 and shading to the right
Answer:
A number line with a closed circle on 6 and shading to the right
Step-by-step explanation:
Which expression is equivalent to -6(-2/3 +2x)
Step-by-step explanation:
step 1. -6(-2/3 + 2x)
step 2. 12/3 + -12x. distributive property
step 3. 4 - 12x.
Find the sixth term of the
geometric sequence, given the
first term and common ratio.
a =5 and r=3/2
2
Answer:
[tex]T_6 = 37.96875[/tex]
Step-by-step explanation:
Given
[tex]a =5[/tex]
[tex]r = \frac{3}{2}[/tex]
Required
Determine the 6th term
This is calculated as:
[tex]T_n = ar^{n-1[/tex]
Where
[tex]n = 6[/tex]
Substitute [tex]n = 6[/tex], [tex]a =5[/tex] and [tex]r = \frac{3}{2}[/tex]
[tex]T_6 = 5 * (\frac{3}{2})^{6-1[/tex]
[tex]T_6 = 5 * (\frac{3}{2})^{5[/tex]
[tex]T_6 = 5 * (\frac{243}{32})[/tex]
[tex]T_6 = 5 * \frac{243}{32}[/tex]
[tex]T_6 = \frac{5 *243}{32}[/tex]
[tex]T_6 = \frac{1215}{32}[/tex]
[tex]T_6 = 37.96875[/tex]
Hello ! Help pls! It needs to be 9 answers
answers in order of the maze:
41, 47, 48, 40, 46, 53, 47, 35, 49 (finish)
20% of 400 is what number
I can't remember for the life of me what these are
Answer:
same
Step-by-step explanation:
It was found that 61 percent of the tourists to China visited the Forbidden City, the Temple of Heaven, the Great Wall, and other historical sites in or near Beijing. 33 percent visited Xi'an with its magnificent terracotta soldiers, horses, and chariots, which lay buried for over 2000 years. 18 percent of the tourists went to both Beijing and Xi'an. What is the probability that a tourist visited at least one of these places
Answer:
0.76 = 76% probability that a tourist visited at least one of these places
Step-by-step explanation:
I am going to solve this question using the probabilities as Venn sets.
We have that:
Event A: Tourist visited Beinjing.
Event B: Tourist visited Xi'an.
61 percent of the tourists to China visited the Forbidden City, the Temple of Heaven, the Great Wall, and other historical sites in or near Beijing.
This means that [tex]P(A) = 0.61[/tex]
33 percent visited Xi'an with its magnificent terracotta soldiers, horses, and chariots, which lay buried for over 2000 years.
This means that [tex]P(B) = 0.33[/tex]
18 percent of the tourists went to both Beijing and Xi'an.
This means that [tex]P(A \cap B) = 0.18[/tex]
What is the probability that a tourist visited at least one of these places?
This is
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
We already found these values. So
[tex]P(A \cup B) = 0.61 + 0.33 - 0.18 = 0.76[/tex]
0.76 = 76% probability that a tourist visited at least one of these places
PLEASE HELP
(7th grade math) The decimals chart in this lesson shows that we line up
the decimal points when we add or subtract decimal
numbers. Why do we do that?
Answer:
so that when we subtract we are subtracting from the corresponding decimal places
Step-by-step explanation:
Which function models the relationship shown by the line?
A
y = -3.3 + 2
B
y
= 12 + 2
с
y= -3x + 6
D
y=-3x + 6
You start driving north for 16 miles, turn right, and drive east for another 30 miles. At
the end of driving, what is your straight line distance from your starting point?
Answer: The distance between starting and ending point is 34 miles.
Determine whether or not the given procedure results in a binomial distribution. If not, identify which condition is not met. Spinning an American roulette wheel 7979 times and recording the number of times the ball lands on an even number.
Answer:
The procedure does results in a binomial distribution.
Step-by-step explanation:
For a binomial probability distribution to be applicable, certain conditions have to be met which are :
There must be a fixed number of observations ; here the number of observations are : 79
All observations must be independent ; the observations are independent ; odd or even
Observations must fall into one of two categories : success category or failure. Here, observations can be odd or even
The probability of success must be equally likely for each observation.
Hence, the procedure results in a binomial probability distribution.
3x -3 = 2x
If you do this PLEASE could I have a THOROUGH explanation on how to do it!
Answer:
3x-3=2x, x=3
Step-by-step explanation:
so you want to move all the numbers with x to the left side of the equation
subtract 2x from both sides of the problem
3x-3-2x=0
subtract 2x from 3x
then add 3 to both sides of the equation
x=3
A triangle can have sides of length 7, 9, and 18.
true
false
Answer:
That is false.
The sum of any two sides in a triangle must be greater than the length of the third side.
We can see that: 7+9 = 16, and 16 is not greater than 18.
So, this is not a triangle.
Let me know if this helps!
Use the elimination method by subtraction to solve for x and then y.
Equation 1 > 2x - 7y = -74
Equation 2 > 3x - 7y = -83
Solve for x and y.
Please and thank you!
Answer:
Step-by-step explanation:
Both equations have -7y. You can eliminate them by subtracting one equation from the other:
Multiply equation 1 by -1, then add it to equation 2:
-2x + 7y = 74
3x - 7y = -83
———————
x = -9
2x - 7y = -74
2(-9) - 7y = -74
-7y = -56
Y = 8
(x,y) = (-9, 8)
Choose the correct simplification of (4x − 3)(3x² − 4x − 3).
Answer: 12x^3−25x^2+9
^ are the exponents
Step-by-step explanation:
i think the answer is 3x^2-x
Jamal is making a snack mix that contains only pretzels and nuts. For every ounce of nuts, he will use 2 ounces of pretzels.
How many ounces of pretzels and how many ounces of nuts does he need to make 45 ounces of snack mix?
Answer:
Pretzels: 30 ounces, Nuts: 15 ounces
Step-by-step explanation:
Trust me.
Number of ounces of nuts = 30
Number of ounces of pretzels = 15
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Jamal is making a snack mix with pretzels and nuts.
And, For every ounce of nuts, he will use 2 ounces of pretzels.
Total number of snake mix = 45 ounces
Now,
Let number of ounces of pretzels = y
Let number of ounces of nuts = x
So, We can formulate;
⇒ x = 2y ... (i)
And, x + y = 45 .... (ii)
Substitute the value of x in equation (ii) , we get;
x + y = 45
2y + y = 45
3y = 45
y = 15
And,
x + y = 45
x + 15 = 45
x = 30
Therefore,
Number of ounces of nuts = 30
Number of ounces of pretzels = 15
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Harvey the wonder hamster can run 3 1/6km in 1/4 hour. Harvey runs at a constant rate
Find his average speed in kilometers per hour
Answer:
his average speed is 12 2/3 kilometers per hour.
Step-by-step explanation:
Esmeralda's familyfamily went out to dinner paying a 20% tip at the end of the mill their credit card was charged $51 what was the amount when the bill without the tip?
Answer:
i dont know lol
Step-by-step explanation:
why you asking me
A rectangular storage container without a lid is to have a volume of 10 m3. The length of its base is twice the width. Material for the base costs $15 per square meter. Material for the sides costs $9 per square meter. Find the cost (in dollars) of materials for the least expensive such container. (Round your answer to the nearest cent.)
Answer:
The least expensive cost = $245.32
Step-by-step explanation:
From the information:
Volume of the rectangular container = 10 m²
Assume the width of the container is = w
The base = 2 × width
= 2(w)
Volume = height × base × width
10 = h × 2w × w
[tex]h = \dfrac{10}{2w^2}[/tex]
[tex]h = \dfrac{5}{w^2}[/tex]
Now, to calculate the area of the base; we have:
[tex]Area = length \times width[/tex]
[tex]Area = 2w \times w[/tex]
[tex]Area = (2w^2) \ m^2[/tex]
[tex]Cost \ of \ base = 15 * 2w^2[/tex]
Cost of base = [tex]30w^2[/tex] --- (1)
[tex]Area \ of \ side = 2 ( height \times length ) + 2( height \times width) \\ \\ = 2 (h \times 2w) + 2(h\times w) \\ \\ = 4hw + 2hw \\ \\ = 6 hw \\ \\ = 6 \times \dfrac{5}{w^2} \times w \\ \\ Area = \dfrac{30 }{w} \ m^2[/tex]
Let's not forget that the cost of the sides = $9 per m²
Thus; the cost of the sides will be [tex]= \$ 9 \times \dfrac{30}{w}[/tex]
the cost of the sides [tex]= \dfrac{\$270}{w}[/tex]
Thus the total cost = cost of base = cost of sides
[tex]C(w) = 30w^2 + \dfrac{270}{w}[/tex]
By differentiation;
[tex]C'(w) = \dfrac{dC}{dw} \\ \\ = 30 \times 2w + 270 ( \dfrac{-1}{w^2}) \\ \\ C'(w) = 60 w - \dfrac{270 }{w^2} \\ \\[/tex]
[tex]\text{To determine the minimum cost:} \\ \\ C'(w) = 0 \\ \\ So, 60 w - \dfrac{270}{w^2}= 0 \\ \\ \text{By integrating w.r.t w} \\ \\ w ( 60 - \dfrac{270}{w^3}) =0 \\ \\ \implies 60 - \dfrac{270}{w^3} \\ \\ w^3 = \dfrac{270}{60} \\ \\ w^3 = \dfrac{9}{2} \\ \\ w = (\dfrac{9}{2})^{1/3} \\ \\ w = 1.6509 \ m[/tex]
From; [tex]C(w) = 30w^2 + \dfrac{270}{w}[/tex]
[tex]Cos t = \dfrac{30 w^3+ 270}{w} \\ \\ =\dfrac{30 (\dfrac{9}{2})+ 270}{1.6509} \\ \\ = \dfrac{135+270}{1.6509} \\ \\ = \dfrac{405}{1.6509} \\ \\ \mathbf{Cost = \$245.32}[/tex]
A sewing project requires 6 1/8 yd of material that sells
for $4 per yard and 3 1/4 yd of material that sells for $3 per
yard. Choose the best estimate for the cost of the project:
a. Between $30 and $40
b. Between $20 and $34
c. Between $36 and $40
d. Between $33 and $40
The best estimate for the cost of the sewing project is between $30 and $40. Hence option 'a' is correct.
Use the concept of fraction defined as:
A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction.
It can be written as the form of [tex]p : q[/tex], which is equivalent to p / q.
Given that,
The sewing project also requires 3 1/4 yards of material selling for $3 per yard.
To calculate the cost of the sewing project:
Compute the cost of each type of material separately and then add them together.
For the first type of material:
We need [tex]6\dfrac{1}{8}[/tex] yards, which is equivalent to 6.125 yards.
The cost of this material would be,
6.125 x 4 = $24.50
For the second type of material:
We need [tex]3\dfrac{1}{4}[/tex] yards, which is equivalent to 3.25 yards.
The cost of this material would be,
3.25 x 3 = $9.75.
Now, add the costs of the two types of materials together:
$24.50 + $9.75 = $34.25.
Hence,
The cost of the project would be between $30 and $40,
Which is option a.
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Surface area of a rectangular prism if W = 6in L = 9in and H = 2in
Answer:
Step-by-step explanation:
Two faces are 6” by 9”. Two faces are 6” by 2”. Two faces are 9” by 2”.
Surface are = 2*6*9 + 2*6*2 + 2*9*2 = 108 + 24 + 36 = 168 square inches
Simplify: (x1/2y3)6
A) x12y18
B) x12y9
C) x3y18
D) x3y9
find the value of two numbers if their sum is -5 and their difference is 11
Larger Number:______
Smaller Number:______
Answer:
-16 and 6
Step-by-step explanation:
If you went back on a graph from 5 eleven times you would get -16 and if you went forward on a graph you would land on 6. Gl human
I WILL GIVE BRAINIEST ASAP IF ANSWERED ASAP
Answer:
56 degrees :)
Answer:
56 degrees
Step-by-step explanation:
the angle next to 76 degrees is a straight line so it is supplementary, meaning it is 104 degrees.
Because the two lines are parallel, and are cut through a transversal, the angle that we just found is actually equal to 48+x because of alternate interior angles. solving for x we get 104-48 = x
x=56
CHECK IMAGE Help me out pretty please
4. Using the diagram below, which equation can be used to find the length 2 points
of AB?
B
42
A
10
tan 42 = 10/AB
tan 42 = AB/10
cos 42 = AB/10
cos 42 = 10/AB
Please help me with this! Picture is provided. Dont just put random answers I really need help with this.
Answer:
h(0)=10
h(4)=16
Step-by-step explanation:
for h(0) you would need to do the second equation because it is within the bounds of the variable.
h(0)= 2x^2 - 3x + 10
anything times 0 is 0
so 2(0)^2 - 3(0) + 10=
0-0+10=
10
h(4) would use the third equation since it's the only one that agrees with the variable 4
2^4=16
Can someone help me with number 3 please