Top side length is 23.4ft. You can use the Pythagorean Theorem or the Cosine ratio or the Sine ration to solve for the remaining side. What is the remaining side (hypotenuse)? Round the answer to one decimal place.
Answers
The Hypotenuse = 38.1 feet
Explanations:From the diagram shown:
The adjacent side, A = 30 ft
Let
Let the side facing <38° be represented by B
Let the hypotenuse side be C
The right angle is facing the hypotenuse.
Sum of angles in a triangle = 180°
To calculate the hypotenuse side C, use the sine rule formula below:
[tex]\begin{gathered} \frac{\sin c}{C}=\text{ }\frac{\sin a}{A} \\ \frac{\sin 90}{C}=\text{ }\frac{\sin 52}{30} \\ \frac{1}{C}=\text{ }\frac{0.788}{30} \\ 0.788C\text{ = 30} \\ C\text{ = }\frac{30}{0.788} \\ C=38.1^{} \end{gathered}[/tex]The Hypotenuse = 38.1 feet
Related Questions
Activity 1: Determine MeDetermine if the given pair of triangle is congruent. Justify your answer using triangle congruence postulate and theorem
Answers
Answer:
1)
From the given two triangles ABC and DEF
angle B= angle E
side AB= side ED
side BC= side EF
By SAS criterion
If any two sides and the angle included between the sides of one triangle are equivalent to the corresponding two sides and the angle between the sides of the second triangle, then the two triangles are said to be congruent by SAS rule., triangles ABC and DEF are congruent.
2)
From the given triangles HJI and KLI
side HJ=side KL
side JI=side LI
side HI= side KI
By SSS criterion,
If the three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.
triangles HJI and KLI are congruent.
P(A) = 3/4P(B) = 1/3If A and B are independent, what is P(A n B)?9/125/121/413/12
Answers
If A and B are independent events, then:
[tex]P(A\cap B)=P(A)\cdot P(B)[/tex]Then, we have:
[tex]\begin{gathered} P\mleft(A\mright)=\frac{3}{4} \\ P\mleft(B\mright)=\frac{1}{3} \\ P(A\cap B)=P(A)\cdot P(B) \\ P(A\cap B)=\frac{3}{4}\cdot\frac{1}{3} \\ \boldsymbol{P(A\cap B)=\frac{1}{4}} \end{gathered}[/tex]Therefore, if A and B are independent events, the probability of their
Find q4(q - 15) = 20
Answers
Answer
q = 20
Explanation
Given equation:
[tex]4(q-15)=20[/tex]The first step in finding q is open the parenthesis:
[tex]\begin{gathered} 4\times q-4\times15=20 \\ 4q-60=20 \end{gathered}[/tex]Add 60 to both sides of the equation:
[tex]\begin{gathered} 4q-60+60=20+60 \\ 4q=80 \end{gathered}[/tex]Finally, divide both sides by 4 to get q:
[tex]\begin{gathered} \frac{4q}{4}=\frac{80}{4} \\ q=20 \end{gathered}[/tex]To estimate the total number of people in the photography club, begin by rounding 48% to Select Choice% and
round 26 to Select Choice Since this is about Select Choice of the members in the club, then
Select Choice+ Select Choice or Select Choice
people is the approximate number of people in the
club.
Answers
Answer:
i believe its 74
Step-by-step explanation:
Select Choice+ Select Choice
48+26
Diamond spends a total of 45 minutes singing and She burns 5 calories per minute singing and 15 calories per minute dancing.Create an equation comparing the number of minutes Diamond spends singing (s) and the number of minutes she spends dancing (d) to the total number of calories she burns (C).Solve the equation to determine the total number of calories Diamond burns if she spends 20 minutes of her time singing.my teacher said base the on her spending 20 minutes singing
Answers
Answer:
475 calories.
Explanation:
The number of minutes Diamond spends singing = s
The number of minutes she spends dancing =d
Since she spends a total of 45 minutes singing
• s+d=45
Since she spends 20 minutes of her time singing.
• s=20 minutes
Substitution into: s+d=45
[tex]\begin{gathered} 20+d=45 \\ d=45-20=25 \end{gathered}[/tex][tex]\text{Rate}=\frac{Number\text{ of calories burned}}{Time}[/tex]The number of calories burned = Time X Rate
Therefore:
[tex]C=5s+15d[/tex]We then substitute s=20 minutes, d=25 minutes into C.
[tex]\begin{gathered} C=5s+15d \\ =5(20)+15(25) \\ =100+375 \\ =475 \end{gathered}[/tex]The total number of calories Diamond burns is 475 calories.
is the prime factorization of what composite number?
Answers
A factor of a number is called a prime factor.
The prime factor of a number is obtained by a factor tree method or by a division method.
The expression of a given number as a product of factors is called prime factorisation.
The prime number has 1 and the number itself is a factor.
The composite number will have more than one factor.
A number which is not a prime number is a composite.
1 and the number itself are not included in the prime factorisation of a composite number.
let us take the example
For the number 20, the prime factors are 2*2*5.
The above example is an example of the prime factorization of the composite number. where 1 and the number itself are not included in the prime factorisation of a composite number.
Answer:
But they can be broken down into prime numbers the process of writing out the prime numbers that make up a composite number is known as prime factorization
Step-by-step explanation:
“Rewrite the following expression with the fewest terms possible:14x + 6 - 12x + 9y - 1” i need help.please?
Answers
Given the following expression:
[tex]14x+6-12x+9y-1[/tex]You must simplify it if you want to rewrite it with the fewest terms possible.
To simplify the expression you must add the like terms (or combine like terms). Like terms are defined as those terms whose variables and exponents are the same.
Based on the above, you can add the like terms in the expression as following:
[tex]14x+6-12x+9y-1=(14x-12x)+9y+(6-1)=2x+9y+5[/tex]The answer is:
[tex]2x+9y+5[/tex]37 of 75 customers in the store made a purchase of at least 20. Roimateky what percent of the customers made a purchase of at least 2207 A 20% 35% C 60% 0.76% walay ducation Page 5 WWW.26 & ZRP.A.3 Common Astment
Answers
Answer:
C. 50%
Explanation:
We are told that 37 of 7
Question 33R, it is one am for me and I have exams tomorrow, please be very quick and include the answer in bold. Thanks
Answers
Given:
scale rated 2.2
other rating is 4.6
Magnitude diff. is:
[tex]\begin{gathered} =4.6-2.2 \\ =2.4 \end{gathered}[/tex]One serving of granola provides 4% of the protein you need daily. You must get the remaining 48 grams of protein from other sources. How many grams of protein do you need daily?A. 50 gramsB. 52 gramsC. 96 gramsD. None of the aboveI will appreciate the help.
Answers
4%---------------------->xg
96%-------------------->48g
[tex]\begin{gathered} \frac{4}{96}=\frac{x}{48} \\ x=\frac{48\times4}{96} \\ x=2 \end{gathered}[/tex]Answer:
You need:
48g + 2g = 50g
A. 50 grams
6) Which type of transformation creates an image where the area of the shape changes? A) translations B) rotations C) reflections D) dilations
Answers
The transformation that changes the area of a shape is dilation (Option D)
Step by step explanation
Option A: Translation
A translation is a geometric transformation that moves every point of a figure, shape, or space by the same distance in a given direction. For this type, the image is congruent with the original shape.
Option B: Rotation
A rotation is a type of transformation that takes each point in a figure and rotates it a certain number of degrees around a given point. For this type, the image is congruent with the original shape.
Option C: Reflection
A reflection is a transformation where each point in a shape appears at an equal distance on the opposite side of a given line - the line of reflection. For this type, the image is congruent with the original shape.
Option D: Dilations
Dilation in math is a transformation that changes the size of a figure so it becomes larger or smaller without changing shape. This type changes the area since the area is the size of a figure.
Rewrite to give an equation without logarithm. Do not solve for X. Solve the equation select the correct choice below and if necessary fill in the answer back to complete your choice
Answers
Given:
[tex]log_2(2x+9)=2[/tex]Required:
We need to solve the given equation.
Explanation:
Consider the formula.
[tex]log_a(b)=x\Rightarrow a^x=b.[/tex]The given equation can be written as follows.
[tex]2^2=2x+9[/tex][tex]4=2x+9[/tex]Solve for x.
[tex]4=2x+9[/tex]Subtract 9 from both sides of the equation.
[tex]4-9=2x+9-9[/tex][tex]-5=2x[/tex]Divide both sides by 2.
[tex]-\frac{5}{2}=\frac{2x}{2}[/tex][tex]-\frac{5}{2}=x[/tex]Final answer:
Rewrite the given equation without logrithmic.
[tex]4=2x+9[/tex]The solution for x.
[tex]x=-\frac{5}{2}[/tex]Need help with this graph.Given the inequality: y < 3x+1. Identify the graph that describes the inequality.
Answers
The Solution:
Given the inequality below:
[tex]y<3x+1[/tex]We are required to the graph that describes the graph above.
[tex]\begin{gathered} \text{ when x=0} \\ y=3(0)+1=1 \\ (0,1) \\ \text{ When y=0} \\ 0=3x+1 \\ -1=3x \\ x=-\frac{1}{3} \\ (-\frac{1}{3},0) \end{gathered}[/tex]The required graph is attached below:
consider the following data. Find the standard variance .round your answer to one decimal place .
Answers
The variance of a data set is given by the formula:
[tex]s^2=\sum ^{}_i(x_i-\mu)^2P(x_i)[/tex]Where μ is the mean given by the formula:
[tex]\mu=\sum ^{}_ix_iP(x_i)[/tex]Therefore, in our problem:
[tex]\begin{gathered} \mu=3\cdot0.3+4\cdot0.1+5\cdot0.2+6\cdot0.2+7\cdot0.2=4.9 \\ \Rightarrow\mu=4.9 \end{gathered}[/tex]Then, the variance is:
[tex]\begin{gathered} s^2=0.3(3-4.9)^2+0.1(4-4.9)^2+0.2((5-4.9)^2+(6-4.9)^2+(7-4.9)^2) \\ \Rightarrow s^2=2.29 \end{gathered}[/tex]Thus, the variance is 2.29
What is the simple interest on $4000 principal at 5% for 3/4 years
Answers
Answer:
$150
Explanation:
The simple interest can be calculated using the following equation
I = Prt
Where P is the principal, r is the rate as a decimal and t is the number of years.
So, replacing P = $4000, r = 5% = 0.05 and t = 3/4 years, we get:
I = ($4000)(0.05)(3/4)
I = $150
Therefore, the simple interest is $150
17. Darla Waters has a gross weekly pay of $475.00. Her earnings to date for this year is $ 5700.00. What is thetotal deduction this week for Social Security taxes (1 point) and Medicare taxes (1 point)?
Answers
Solution:
Icomplete information.
this is just a normal not really a long question which we would like to check how it looks in session history.
Answers
check how sort question looks
factoring out; 50y + 100
Answers
Factor the expression 50y + 100.
[tex]\begin{gathered} 50y+100=50y+50\cdot2 \\ =50(y+2) \end{gathered}[/tex]So answer is 50(y + 2).
What is f(2) for the function f(x) = 2x^2 + 6x – 5?
Answers
f(x) = 2x² + 6x – 5
To find f(2) you have to replace x = 2 into the function, as follows:
f(2) = 2(2)² + 6(2) – 5
f(2) = 2(4) + 12 – 5 Solving the square and the multiplication
f(2) = 8 + 12 – 5 Solving the multiplication
f(2) = 15
In the equation y = mx + b, m is the slope.TrueFalse
Answers
Remember that
The equation of the line in slope-intercept form is given by
[tex]y=mx+b[/tex]where
b is the y-intercept and m is the slope
therefore
The answer is TrueThe distance between Bricktown and Koala Creek is 75 km. A person travels from Bricktown to Koala Creek at an average speed of 50 km/h.How long does it take the person to complete the journey?
Answers
distance = 75 km
speed = 50 km/h
Speed = distance / time
time = Distance / speed
Time = 75 km / 50 km/h = 1.5 hours = 1 hour 30 minutes
What are the coefficients?12x + 8 < 9 + 2X
Answers
This problem is about coefficients.
It's important to know that a coefficient is a number used to multiply a variable. In other words, coefficients are all numbers placed in front of a variable.
Being said that, in this case, coefficients are 12 and 2, because these numbers multiply a variable.
Therefore, the right answer is 12 and 2.The following refer to the following data set:31.8 63.4 47.2 26.8 44.632.8 63.4 63.4 45.4 59.4What is the arithmetic mean of this data set?mean -What is the median of this data mset?median -What is the mode of this data set?mode
Answers
The citizens of a city were asked to choose their favorite pet. The circle graph shows how the citizens answered the questions, how many chose hamsters, birds, or fish.
Answers
To find how many chose hamsters, birds, or fish we first verified that the sum of all the percentages is 100% to check that the citizens answered just one time each one.
We have that 17+22+21+27+7+6 = 100.
Now hamsters, birds, or fish is an union of the people that answered this is a sum 6+21+17 = 44 in this case because the events are independients this means the intersection is empty. So the answer is 44.
Will the slope here be -7? I’m not sure on this
Answers
In the given graph, the line passes through at y = -7
Thus equation of line is y = -7
The general equation of line represent as;
[tex]\begin{gathered} y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1) \\ or\text{ } \\ y-y_1=m(x-x_1),m=\frac{y_2-y_1}{x_2-x_1} \end{gathered}[/tex]Consider any two coordinate as; (0 ,-7) and (2, -7)
Substitute this coordinate in the equation of line as;
[tex]\begin{gathered} y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1) \\ y-(-7)=\frac{-7-(-7)}{2-0}(x-0) \\ y+7=\frac{-7+7}{2}x \\ y+7=0x \end{gathered}[/tex]Thus, here slope = 0
For the vertical intercept, x= 0 and y = -7
Therefore;
....................
A book sold 39,800 copies in its first month of release. Suppose this represents 9.3% of the number of copies sold to date. How many copies have been sold to date?
Round your answer to the nearest whole number.
Answers
The number of copies is 3,701 which has been sold to date.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
The book sold 39,800 copies in its first month of release.
Given that 9.3% of the number of copies sold to date.
To determine the number of copies has been sold to date.
⇒ 9.3% of 39,800 copies
⇒ (9.3/100) × 39,800
⇒ (0.093) × 39,800
⇒ 3,701.4
Round to the nearest whole number.
⇒ 3,701
Thus, the number of copies is 3,701 which has been sold to date.
Learn more about the percentages here:
brainly.com/question/24159063
#SPJ1
Which of the following ordered pairs could Briggs add to the graph?
Answers
Answer: B
Step-by-step explanation:
The next point where the gap is would be B but you're looking for the point that comes after (8,4) it would be C
Find the slope-intercept equation of the line satisfying: Y-Int is 4 and goes through (1,8).
Answers
Let's recall that the slope-intercept equation of a line has the form
[tex]y=mx+b,[/tex]where "m" is the slope, and "b" is the y-intercept. We know that the y-intercept is 4; then, our equation becomes
[tex]y=mx+4.[/tex]The trick to finding the slope is to note that the point (1,8) lies on the line; namely, we can evaluate the equation of the line in this point:
[tex]8=m\cdot1+4.[/tex]Solving this equation for m, we get
[tex]\begin{gathered} 8=m\cdot1+4, \\ 8=m+4, \\ 8-4=m+4-4, \\ 4=m, \\ m=4. \end{gathered}[/tex]AnswerThe equation of the line satisfying the provided conditions is
[tex]y=4x+4.[/tex]Multiply pair conjugates using Product of Conjugates Pattern ( xy-9)(xy +9)
Answers
Given the following pair of conjugates:
[tex]\mleft(xy-9\mright)\mleft(xy+9\mright)[/tex]As shown, the same terms and the different signs
This is called the factor of the square difference
The product will be as follows:
[tex]\mleft(xy-9\mright)\mleft(xy+9\mright)=(xy)^2-(9)^2=x^2y^2-81[/tex]So, the answer will be:
[tex]x^2y^2-81[/tex]Which of these four figures are congruent to the top figure? OD ОС ОА B
Answers
Congruency is the the quality of two things to be similar to each other.
The shape we use as reference is a parallelogram that has the three blue dots distributed along its longer diagonal with minimal space between them.
Therefore, any other shape congruent to it must agree to this condition.
Option C agrees to this condition.