Answers
Answer:
5/8 (= 0.625)
Step-by-step explanation:
tan A = sin A / cos A
we have here a triangle that is much bigger than to fit into our snuggly around a norm circle (radius = 1).
so, we could either see it embedded in a circle with a radius of the square root of 89, or surrounding a circle with the radius of 8.
in the first case
[tex]5 = \sin(a) \times \sqrt{89} [/tex]
[tex]8 = \cos(b) \times \sqrt{89} [/tex]
in the second case 5 is already tan A but stretched by the radius 8.
so,
[tex]5 = \tan(a) \times 8[/tex]
so, in both cases the answer is 5/8.
Related Questions
4. Which of the following lines has a negative slope?
a.
b.
c.
d.
e. none of the above
Answers
Answer:
A
Step-by-step explanation:
You can tell it has a negative slope because the line is moving down
hope this helps <3
A line on a coordinate plane passes through the point (2, -7) and has a slope of 0.75.
When the line passes through x = -6, what is the value of y? Enter the answer in the box.
HELP ME NOWWW
Answers
The solution is: When the line passes through x = -6, the value of y is: -13.
Here, we have,
given that,
A line on a coordinate plane passes through the point (2, -7) and has a slope of 0.75.
we know the equation of straight line is: ;
y = mx + c
here, m = 0.75 and, (x,y) =(2, -7)
so, we get,
c = -7 - 0.75*2 = - 8.5
So, the equation of straight line is:
y = 0.75x - 8.5
now, when the line passes through x = -6,
we get,
y = 0.75* (-6) - 8.5
= - 13
Hence, The solution is: When the line passes through x = -6, the value of y is: -13.
To learn more on Equation 0f Straight-Line click:
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A total of 378 vacationers are planning to take an extended
trip down the Oregon trail (to learn about life as an early
settler). IA 21 people can comfortably fit inside a covered
wagon and the trip organizers have borrowed 13 wagons, how
many more will they need.
Answers
21 x 13 = 273
378 - 273 = 105 people left
105/ 21 = 5 more wagons
help due in 10 mins find the in.
Answers
Answer:
252 inches
hope u got it correct
Answer:
21 in
Step-by-step explanation:
The actual length is 21 ft = 21 × 12 = 252 in
The model is [tex]\frac{1}{12}[/tex] of the actual size , then
model length = 252 ÷ 12 = 21 in
Find the perimeter of the triangle in terms of b.
I’m marking branliest
Answers
Answer:
7b - 2 = 6b
3b + 7 = 10b
6b + 6b + 10b +10b
12b + 20b
34b
Please help me I will give branliest!!! Find the indicated trig ratio and write your answer as a simplified fraction. Image attached
Answers
From SOHCAHTOA
Sin0=Opp/HYP
Sin0 = 9/15
Step-by-step explanation:
sinβ=p/h
sinβ=12/15
sinβ=4/5
find the volume of the given solid
Answers
Answer:
15,000cm^3
Step-by-step explanation:
Dividing the solid into 2;
Volume = Volume of A + Volume of B
Volume of Top prism (A) =25cm * 20cm * 10cm
Volume of Top prism (A) = 5000cm^3
Volume of bottom prism B = 20cm * 50 * 10
Volume of bottom prism B = = 10000cm^3
Volume of the figure = 5000 + 10000
Volume of the figure = 15,000cm^3
Leon is buying a bicycle. The regular price of the bicycle is x dollars. The bicycle is on sale for 20% off. He has to pay 5% sales tax on the sale price of the bicycle. To represent his total cost, Leon writes the expression shown 1.05(x-0.2x) . Which expression also represents Leon’s total cost?
A.) 0.79x
B.) 0.84x
C.) 0.85x
D.) 0.21x
Answers
Answer:
B.) 0.84x
Step-by-step explanation:
total cost= 1.05(x-0.2x)
= 1.05 (0.8x) = 0.84x
Write 7 17/20 as a decimal
Answers
Answer:7.85
Step-by-step explanation:
7 17/20 as a decimal is 7.85
how I got that?
1. 17/20=0.85
2, 7+0.85=7.85
hope this helps!
Which geometric transformation rotates a figure?
a) rotation
b) dilation
c) translation
d) reflection
Answers
Answer:
a) rotación
Step-by-step explanation:
thats what i answer
What is the value of x in the equation -2/5x -2 =18
Answers
Answer:
x = -50
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
-2/5x - 2 = 18
Step 2: Solve for x
[Addition Property of Equality] Add 2 on both sides: -2/5x = 20[Division Property of Equality] Divide -2/5 on both sides: x = -50You are going to take a 10-question True/False test. How many ways can this test be answered if leaving questions blank is a viable option for each question?
Answers
Answer:
There are 59,049 different ways of answering the exam.
Step-by-step explanation:
The first thing we need to count is the total number of selections, then we need to count the number of options for each one of these selections. The total number of combinations will be equal to the product between all the numbers of options.
Here, the selections are each one of the 10 questions, so we have 10 selections.
And each one of these selections has 3 options (true, false, blank)
So, we have 10 selections with 3 options each, then the total number of combinations will be:
C = 3*3*3*3*3*3*3*3*3*3 = 3^10
C = 59,049
There are 59,049 different ways of answering the exam.
How do i do this, and please step by step i will give brainliest
Answers
Answer:
-50 N
Step-by-step explanation:
125 - 75 = 50
left = negative
right = positive
The ball is going to be kicked to the left because the net force on the right is larger, and as you can see above, left = negative and right = positive. So the answer would be -50 N
8-6x=-28 I need help plzzz
Answers
Answer:
6
Step-by-step explanation:
We need to solve the equation .The given equation is ,
→ 8 - 6x = -28
→ -6x = -28-8
→ -6x = -36
→ x = -36/-6
→ x = 6
• Hence the value of x is 6 .Alan and Margot each drive from City A to City B, a distance of 147 miles. They take the same route and drive at constant speeds. Alan begins driving at 1:40 p.m. and arrives at City B at 4:15 p.m. Margot’s trip from City A to City B can be described with the equation y = 64x, where y is the distance traveled in miles and x is the time in minutes spent traveling. Who gets from City A to City B faster?
Answers
Answer:
Margot gets from A to B faster
Step-by-step explanation:
Alan takes 2 hr and 35 min = 2. 58... hr
Margot takes 147/64 hr = 2.296.. hr
HELP ASAP! Will name brainliest.
Identify the transformed function that represents f(x) = ln x stretched vertically by a factor of 5, reflected across the x-axis, and shifted by 6 units left.
g(x) = −5ln (x − 6)
g(x) = −5ln (x + 6)
g(x) = 5ln (x − 6)
g(x) = 5ln (x + 6)
Answers
Answer:
g(x) = 5ln (x-6)
Step-by-step explanation:
For us to have a vertical stretch, we need to multiply the whole function by the factor of stretching
Say for example, we stretched f(x) by a factor of a , we have the result as a•f(x)
Now, when we shift by a certain number of units, this is particularly a translation
The kind we have here is a horizontal translation
So by shifting 6 units left, we have it that we need to subtract 6 units from the x-coordinate value
Thus, we have the resulting function as;
g(x) = 5ln (x-6)
can someone pls help
Answers
Answer:
Commutative property
Step-by-step explanation:
Commutative property is usually 2 equations switched around
Triangle ABC is similar to triangle XYZ. Find side a.
Answers
Answer:
I think it should be 15...
Step-by-step explanation:
13 * 3 = 39
5 * 3 = 15
Sida "a" of the given triangle ABC is 15.
What are similar triangles?Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.
Given Triangle ABC and Triangle XYZ are similar triangles. Hence,
AB /BC = XY / YZ
Since, XY =13 , YZ = 5, and AB = 39
Putting these values in the above equation
39/ a = 13/5
a = 15
Therefore, in the given triangle ABC side a is 15.
Learn more about similar triangles here:
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Determine the slope of the line that passes through the points:
Answers
Answer:
The slope of the line is 4.
Step-by-step explanation:
Recall that slope = rise over run: rise / run.
From the table we see that if x changes from 0 to 4, a run of 4, y changes from -1 to 15, a rise of 16, the slope of this line must be
m = rise / run = 16/4 = 4
The slope of the line is 4.
need help asap will give brainlyest
Answers
Answer:
it in a is correct if im wrong it is B
Step-by-step explanation:
What is the sign of -4x\cdot y\cdot 0^6−4x⋅y⋅0 6 minus, 4, x, dot, y, dot, 0, start superscript, 6, end superscript when xxx and yyy are positive numbers?
Answers
Answer:
non-negative
Step-by-step explanation:
Given
[tex]-4x\cdot y\cdot 0^6[/tex]
[tex]x , y > 0[/tex] --- Positive numbers
Required
The sign
[tex]-4x\cdot y\cdot 0^6[/tex]
First, we simplify the expression
[tex]0^6 = 0[/tex]
So:
[tex]-4x\cdot y\cdot 0^6 = -4x\cdot y\cdot 0[/tex]
The product of 0 and any factor is 0. So:
[tex]-4x\cdot y\cdot 0^6 = 0[/tex]
Since the result is 0, then the sign is non-negative
A certain species of fish require 1.5 cubic feet of water per fish to maintain a
healthy environment. Find the maximum number of fish you could put in a tank
measuring 5 feet by 3 feet by 3 feet.
Answers
Answer: 30 fish
Step-by-step explanation:
A tank measuring 5 feet by 3 feet by 3 feet has a volume of 5*3*3 =45 cubic feet.
If there are 45 cubic feet of water in this tank, and each fish requires 1.5 cubic feet of water, the number of fish that can fit in the tank is 45/1.5 = 30.
Please help write a system of equations to represent the scenario
Answers
x + y = 37
5x + 3y = 161
25 adult tickets
12 student tickets
—————-
Adult tickets are x
Student tickets are y
Equations are for number of tickets sold and price of tickets sold/money earned
x + y = 37
5x + 3y = 161
x = 37 - y
5(37 - y) + 3y = 161
185 - 5y + 3y = 161
- 2y = -24
y = 12
x = 37 - y
x = 37 - 12 = 25
Please let me know if you have questions about this answer
Determine Rolanda’s best loan option in the following scenario using the exponential growth equation.
Situation: Rolanda is buying a $15,000 car and is trying to figure out which is the better financing option. She can get a five-year loan at 4.65 percent or a seven-year loan at 4.25 percent.
Answers
Answer:
5 year
Step-by-step explanation:
equations are 15000(.9535)^5 for the 5 year at 4.65
15000(.9575)^7 for the 7 year at 4.25
I need help pleaseee
Answers
Answer:
[tex]x = 6.25[/tex]
Step-by-step explanation:
Since the quadralterials are similar and the perimeter has a ratio of 12:5 the sides also have a ratio of 12:5.
Set up the proportion.
[tex] \frac{12}{5} = \frac{15}{x} [/tex]
[tex]12x = 75[/tex]
[tex]x = 6.25[/tex]
PLEASE ANSWER QUICKLY
Answers
Answer:
C
Step-by-step explanation:
Below is the normal distribution curve for height (inches) of NBA basketball players.
If there are 4500 NBA players, approximately how many of them are taller than 91 inches?(Round to nearest whole number)
Answers
==================================================
Explanation:
mu = 75 = mean, since it's at the centersigma = 8 = standard deviation (each gap between the tickmarks is 8 units wide)From the given info, we see that 91 is two standard deviations above the mean. The diagram shows 91 is two tickmarks to the right of center. Or we could note that z = (x-mu)/sigma = (91-75)/8 = 2.
Roughly 95% of the normal distribution is within 2 standard deviations of the mean. I'm using the Empirical Rule.
So about 95% of the population is between 59 and 91 inches tall. That leaves 5% of the population in both tails combined. Cut this in half to get 2.5%
We have 2.5% of the population taller than 91 inches
2.5% of 4500 = 0.025*4500 = 112.5 = 113
Roughly 113 people are taller than 91 inches
----------
Side notes:
The answer is approximate because the Empirical Rule is just a rough approximation of percentages; also, I rounded 112.5 to 113 (it makes no sense to have half a person).59 inches = 4 ft, 11 in75 inches = 6 ft, 3 in91 inches = 7 ft, 7 inRoughly 95% of the population of NBA players is between 4 ft, 11 in and 7 ft, 7 in, according to this data set.Find the value of x.
x = [?]
Answers
Answer:
18
Step-by-step explanation:
Questions 7,11,12,14,15and 16 please thanks
Answers
№7
[tex]4(5y - 2) = 52\\4*5*y - 4 * 2 = 52\\20y - 8 = 52\\20 y = 52 + 8\\20y = 60\\y = 60 : 20\\y = 3[/tex]
№11
[tex]2x + 17 = 5x - 4\\17 + 4 = 5x - 2x\\21 = 3x\\x = 21 : 3\\x = 7[/tex]
№12
[tex]2x + 7 = 16 - 4x\\2x + 4x = 16 - 7\\6x = 9\\x = 9 : 6\\x = \frac{3}{2}\\x = 1,5[/tex]
№14
[tex]4(2y + 1) = 2 (12 - y)\\4*2*y + 4 * 1 = 2 * 12 - 2 * y\\8y + 4 = 24 - 2y\\8y + 2y = 24 - 4\\10y = 20\\y = 20 : 10\\y = 2[/tex]
№15
[tex]7 - 3x = 2(x + 1)\\7 - 3x = 2x + 2\\7 - 2 = 2x + 3x\\5 = 5x\\x = 5 : 5\\x = 1[/tex]
№16
[tex]\frac{x-3}{2} = 5\\x-3 = 5*2\\x - 3 = 10\\x = 10 + 3\\x = 13[/tex]
Find the function y = f(t) passing through the point (0, 18) with the given first derivative.
dy/dt = 1/8 t
y = ?
Answers
Answer:
[tex]\displaystyle y = \frac{t^2}{16} + 18[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
FunctionsFunction NotationCoordinates (x, y)Calculus
Derivatives
Derivative Notation
Antiderivatives - Integrals
Integration Constant C
Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
Identify
Point (0, 18)
[tex]\displaystyle \frac{dy}{dt} = \frac{1}{8} t[/tex]
Step 2: Find General Solution
Use integration
[Derivative] Rewrite: [tex]\displaystyle dy = \frac{1}{8} t\ dt[/tex][Equality Property] Integrate both sides: [tex]\displaystyle \int dy = \int {\frac{1}{8} t} \, dt[/tex][Left Integral] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle y = \int {\frac{1}{8} t} \, dt[/tex][Right Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle y = \frac{1}{8}\int {t} \, dt[/tex][Right Integral] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle y = \frac{1}{8}(\frac{t^2}{2}) + C[/tex]Multiply: [tex]\displaystyle y = \frac{t^2}{16} + C[/tex]Step 3: Find Particular Solution
Substitute in point [Function]: [tex]\displaystyle 18 = \frac{0^2}{16} + C[/tex]Simplify: [tex]\displaystyle 18 = 0 + C[/tex]Add: [tex]\displaystyle 18 = C[/tex]Rewrite: [tex]\displaystyle C = 18[/tex]Substitute in C [Function]: [tex]\displaystyle y = \frac{t^2}{16} + 18[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Integration
Book: College Calculus 10e