LESSON 7.3 HELPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
THERE ARE 4 DIFFERENT QUESTIONS PLEASE ANSWER ALL 4 TO GET THE POINTS THANKS YOU
Find the missing side lengths. Leave your answers as radicals in simplest form.
Answers
Using relations in a right triangle, the missing side lengths are given as follows:
1. D. [tex]x = 7\sqrt{2}, y = 7[/tex]
2. B. [tex]x = 3\sqrt{2}, y = 2[/tex].
3. C. x = 6, y = 3.
4. C. [tex]x = 2\sqrt{5}, y = \frac{2\sqrt{15}}{3}[/tex]
What are the relations in a right triangle?There are three relations in a right triangle, given as follows:
The sine of an angle of the triangle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle of the triangle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle of the triangle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.For the first triangle, we have that:
tan(45º) = 7/y
1 = 7/y
y = 7.
Applying the Pythagorean Theorem:
x² = 7² + 7²
x = sqrt(2 x 49)
[tex]x = 7\sqrt{2}[/tex]
Hence the correct option is:
D. [tex]x = 7\sqrt{2}, y = 7[/tex]
For the second triangle, we have that:
tan(45º) = y/3
1 = y/3
y = 3.
Applying the Pythagorean Theorem:
x² = 3² + 3²
x = sqrt(2 x 9)
[tex]x = 3\sqrt{2}[/tex]
Hence the correct option is:
B. [tex]x = 3\sqrt{2}, y = 2[/tex].
For the third triangle, we have that:
[tex]\tan{30^\circ} = \frac{y}{3\sqrt{3}}[/tex]
[tex]\frac{\sqrt{3}}{3} = \frac{y}{3\sqrt{3}}[/tex]
y = 3 x 3/3
y = 3.
Then:
[tex]\sin{30^\circ} = \frac{y}{x}[/tex]
0.5 = 3/x
x = 6.
Hence the correct option is:
C. x = 6, y = 3.
For the fourth triangle, we have that:
[tex]\sin{30^\circ} = \frac{y}{\frac{4\sqrt{15}}{3}}[/tex]
[tex]0.5 = \frac{y}{\frac{4\sqrt{15}}{3}}[/tex]
[tex]y = \frac{2\sqrt{15}}{3}[/tex]
[tex]\cos{30^\circ} = \frac{x}{\frac{4\sqrt{15}}{3}}[/tex]
[tex]\frac{\sqrt{3}}{{2}} = \frac{x}{\frac{4\sqrt{15}}{3}}[/tex]
[tex]x = 2\sqrt{5}[/tex]
Hence the correct option is:
C. [tex]x = 2\sqrt{5}, y = \frac{2\sqrt{15}}{3}[/tex]
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Related Questions
2/3w-1|<8
HELP PLEASE
Answers
Answer:
5/3 > w and w > -1
Step-by-step explanation:
l3w-1l < 4
3w-1 < 4 and 3w-1 > -4
3w < 5 and 3w > -3
w < 5/3 and w > -1
*Please mark brainliest
Can someone help with this question?✨
Answers
Answer:
B is: (9,-5)
Step-by-step explanation:
The square units between A and AB is 6. So six more units in the other direction and you get (9,-5).
W = 3x + 7y. Solve for y
Answers
Answer: y = (w-3x) / 7
Step-by-step explanation:
w = 3x + 7y
7y + 3x = w
7y = w - 3x
y = (w-3x) / 7
On mercury you weigh 2 pounds for every 5 pounds you weigh on earth you weigh 135 pounds on earth how much do you weigh on mercury
Answers
Answer:
Step-by-step explanation:
54, because 135/5 = 2727x2 = 54 Ibs.
Answer: you will be 54 pounds
Step-by-step explanation:
What are the positive and negative square roots of 3,600?
Answers
Answer:
60 and -60
Hope this helps! :)
How many 4-digit numbers can be chosen that are even and greater than 3000?
Answers
Answer: 4-digit numbers can be chosen that are even and greater than 3000 is equal to 192.
Step-by-step explanation:
Given data,
4-digit numbers can be chosen that are even and greater than 3000.
For even numbers, each formed 4-digit number must end with 2, 4, or 6. And each such number greater than 3000 must begin with 3, 4, 5, 6, or 7.
Since five digits [1–5] are available, the number may have four or five digits.
All five-digit numbers are greater than 3000, and there are 5! = 120 permutations of the five digits.
Four-digit numbers greater than 3000 must have one of three digits (3 or 4 or 5) as its first digit. The next three digits must be selected from the four remaining digits available, so the number of permutations is: 4 * 3 * 2 = 24.
There are 3 * 24 = 72 numbers of the form 3xxx, 4xxx, 5xxx (all of which are greater than 3000).
The number of possible sequences of [1–5] greater than 3000 include 120 four-digit numbers and 72 five-digit numbers, so the total is 192.
Therefore,
4-digit numbers can be chosen that are even and greater than 3000 is equal to 192.
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Which equations are in standard form? Select all that apply.
Answers
The equations which represent the standard form are:
A) 3x+12y=-6
D) -10x+7y=13
F) 3/4x+y=8
G) 5x+14y=3
Given we have a set of equations.
A technique for expressing linear equations is the standard form. The standard form, the slope-intercept form, and the point-slope form are some of the numerous ways that a linear equation can be expressed. Ax + By = C is a representation of the general form, commonly referred to as the standard form, of linear equations.
A) 3x+12y=-6
the above equation is in the form of Ax + By = C
B) x-y = 1
the above equation is not in the form of Ax + By = C
C) 2x=9
the above equation is not in the form of Ax + By = C
D) -10x+7y=13
the above equation is in the form of Ax + By = C
E) 6y=11
the above equation is not in the form of Ax + By = C
F) 3/4x+y=8
the above equation is in the form of Ax + By = C
where A=3/4 and B=1
G) 5x+14y=3
the above equation is in the form of Ax + By = C
Hence we get the required equations in the standard form.
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Take three hundredths from 6.5
Answers
Answer: 6.47
Step-by-step explanation:
a hundredth is .01 so 3 of those would be .03, and 6.5 - .03 is 6.47
Maurice walks 262 miles due south, then 168 miles due west and finally 422 miles due north. How far is Maurice from his starting point?
? miles
Answers
The displacement of Maurice from his starting point is 232 miles.
What is displacement?
The displacement of an object is the change in the position of the object. Displacement measures how far an object is from its initial position or starting point.
The displacement of Maurice from his starting point is calculated as follows;
|B
|
| |A
| |
|--------------------- |
A line connecting point A and B will form the displacement of Maurice from his staring point.
line connecting AB = hypotenuse side of the right
Base of the triangle = 168 miles
Height of the triangle = 422 - 262 = 160 miles
AB = √(168² + 160²)
AB = 232 miles
Thus, the displacement of Maurice from his starting point is 232 miles.
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work this out please
Answers
Answer: The answer in exact form would be 1/100 or 0.01
Answer:
1/100
Step-by-step explanation:
1/10^2 = 1/10 x 1/10 = 1/100
HELP WITH THIS QUESTION MATH WIZARDS The entire graph of the function g is shown in the figure below.
Write the domain and range of g as intervals or unions of intervals.
Answers
Answer:
[tex](-1,1) \cup (3,5), (-5,2)[/tex]
Step-by-step explanation:
The domain is the set of x-values, and the range is the set of y-values.
If you walk for 1 ½ hour at an average speed of 4kph. How far will you have walked?
Answers
Answer:
distance = 3.72823 miles
6.0000045811 Kph
Step-by-step explanation:
Pace = Time\Distance
5x = -4y + 4 please help me
Answers
I THINK X IS 5/4 ANY ANSWER CHOISES ??
Volume can be measured in liters or cubic meters.
Answers
The statement that, "Volume can be measured in liters or cubic meters" is True.
What are the units of Volume?There are several units used for measuring the volume of a liquid or other substance or object but the international unit of measurement for volume is the cubic meter or m³.
Volume is also common measured in the very popular unit known as liters. Smaller measures of liters include milliliters. For the cubic meter, there are also cubic millimeters and cubic decimeters.
In conclusion, it is true that volume can be measured in liters or cubic meters.
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Use the information to find a linear algebraic equation model that can be used to answer the question.
Mark and Don are planning to sell each of their marble collections at a garage sale. If Don has 3 more than 4 times the number of marbles Mark has, how many does each boy have to sell if the total number of marbles is 103?
Answers
By solving some linear equations, we can see that Mark has 20 marbles and Don has 83 marbles, and these are the numbers they need to sell.
How many does each boy have to sell if the total number of marbles is 103?Let's define the variables:
x = number of marbles that Mark has.y = number of marbles that Don has.We know that the linear equation:
y = 4x + 3
"If Don has 3 more than 4 times the number of marbles Mark has"
The total number of marbles is 103, then:
x + y = 103.
Then we have two linear equations:
Replacing the first equation into the second one:
x + (4x + 3) = 103.
5x + 3= 103
5x = 100
x = 100/5 = 20
So Mark has 20 marbles and Don has 83 marbles, and these are the numbers they need to sell.
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Leo farms 576 acres of land. one year he planted soybeans on 3/16 of his land. How many acres did he plant with soybeans
Answers
The acres of land Leo plant with soyabeans is 108 acres.
What is a fraction?Fractions represent the parts of a whole or collection of objects.
A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.
Now given that,
Total farms of land = 576 acres
Part of land planted soyabeans = 3/16 of total farms of land
Putting the values we get,
Part of land planted soyabeans = 3/16 of 576 acres
Simplifying we get,
Part of land planted soyabeans = 3/16 * 576 acres
Solving we get,
Part of land planted soyabeans = 1,728/16 acres
Thus, we get
Part of land planted soyabeans = 108 acres
this is the required acres of land with soyabeans.
Thus, the acres of land Leo plant with soyabeans is 108 acres.
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ab+c=85
a + bc=86
a=
b=
c=
Answers
One possible solution for the given system of equations is:
a = 85, b = 1, c = 1.
What is a system of equations?A system of equations is when multiple variables are related, and equations are built to find the values of each variable, according to the relations given in the problem.
In this problem, we have a system with:
3 variables.2 equations.Since the number of variables is greater than the number of equations, we have a free variable, that is, a variable for which we can attribute a value.
We will attribute c = 1, hence the system becomes:
ab = 85.a + b = 86.Then one possible solution is a = 85 and b = 1, or vice-versa, as:
ab = 85 x 1 = 85.a + b = 85 + 1 = 86.Hence one possible solution for the given system of equations is:
a = 85, b = 1, c = 1.
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Tell whether the value is a solution to the inequality 8-X>3;X=2
Answers
Answer: The value is not a solution the inequality 8-x>3; x=2
Step-by-step explanation:
8-x>3
-8 -8
----------
-x>-5
----------
-x -x
x<5
express the fact that x differs from 5 by less than 1/4 as an inequality involving absolute value
Answers
The expression as an inequality involving absolute value is |x - 5| < 1/4
How to express as an inequality involving absolute value?The statement is given as
Express the fact that x differs from 5 by less than 1/4 as an inequality involving absolute value
Rewrite as
x differs from 5 by less than 1/4
Less than means <
So, we have
x differs from 5 < 1/4
Differs means -
So, we have
|x - 5| < 1/4
Hence, the expression as an inequality involving absolute value is |x - 5| < 1/4
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its on the pic that i put
Answers
The value of x in 5 - x < 4/7 based on the information given will be x < 4 3/7.
How to illustrate the expression?It should be noted that based on the information given in the question, the expression will be:
5 - x < 4/7
Therefore, collect like terms
5 - x <4/7
x < 5 - 4/7
x < 4 3/7
Therefore, the value of x is less than 4 3/7.
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an apartment building has 15 apartments. there 5 more 2-bedroom apartments than 1- bedroom apartments. how many 2- bedroom apartments are there?
Answers
The number of 2 bedroom apartments that are there is 10.
How to illustrate the information?Let the number of one bedroom = b
Since there are 5 more 2-bedroom apartments than 1- bedroom apartments. This will be b+5.
There are 15 apartments. Therefore, the expression will be:.
b + b + 5 = 15
2b + 5 = 15.
2b = 15 - 5.
2b = 10
b = 10 / 2
b = 5
Number of 2 bedroom = b + 5 = 5+5 = 10.
Therefore, the number of 2 bedroom apartments that are there is 10.
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Monika has a model of the space shuttle. The height of the model is 9.35 centimeters, as shown.
The scale of the model is 1 centimeter to every 6 meters. What is the actual height of the space shuttle?
Responses
56.1 cm
56.1 cm
56.1 m
56.1 m
155.8 cm
155.8 cm
155.8 m
Answers
Answer:the answer is 56.1 m
Step-by-step explanation:56.1 m
Match the word with the definition.
Question 2 options:
Common Denominator
Product
Mixed Number
Multiple
Improper Fraction
Difference
1.
The result of subtracting one number from another.
2.
When the denominators of two or more fractions are the same.
3.
Two or more factors multiplied together results in this.
4.
The result of multiplying a number by an integer (not by a fraction.
5.
A way to represent a fraction as an integer plus a fraction.
6.
A fraction in which the numerator is greater than the denominator.
Answers
Product is choice 4
Mixed Number is choice 5
Multiple is choice 3
Improper Fraction is choice 6
And lastly difference is choice 1
How many times larger is the 8 in 184.36 than 9,027.83
Answers
Answer: Thus, the number with the larger value of 8 is 184.36 and it is 100 times larger.
Step-by-step explanation:
First we can find out the place value,
Then we can write,
Define Place value :
Place value is the basis of our entire number system. This is the system in which the position of a digit in a number determines its value. The number 42,316 is different from 61,432 because the digits are in different positions.
[or]
Place value of a digit can be defined as the position of the particular digit in a given number.
For Example :
The place value of 7 in 1870 is 70
Given the data,
First we use digit is : 184.36
Second we use digit is : 9027.83
Place value of 8 in First digit is ⇒ 184.36 is 80
Place value of 8 in Second digit is ⇒ 9027.83 is 0. 8
We can solve the Ratio is :
Ratio = 80/ 0.8
Ratio = 100 times
Therefore,
Thus, the number with the larger value of 8 is 184.36 and it is 100 times larger.
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Help me find the percentiles please
Answers
1) The 40th percentile is; 7.6
2) The 75th percentile is; 14.25
What is the percentile of the data values?The formula to calculate the percentile is;
n = (P/100) * N
where;
P = percentile
N = number of values in a data set (sorted from smallest to largest)
n = ordinal rank of a given value
Let us rearrange the 19 weight values from smallest to largest to get;
20, 21, 23, 25, 26, 28, 29, 30, 32, 35, 39, 40, 41, 42, 43, 44, 45, 46, 50
1) At 40th percentile, we have;
n = (40/100) * 19
n = 7.6
2) The 75th percentile, we have;
n = (75/100) * 19
n = 14.25
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find the point (x y) on the unit circle that corresponds to the real number t. t = π/6
Answers
Answer:
The value of x is -√3/2 and the value of y = -1/2.
Step-by-step explanation:
It is given that t = π/6 and we need to find the point (x y) on the unit circle that corresponds to the real number t.
Now,
Let us suppose that the real number 't' is to be of an arc length from the positive X-axis.
=> t = π/6
Further, if we look at the graph given below;
We observe that the reference angle π/6 is one of the standard angles with the ratio of opposite to adjacent sides as indicated above.
=> x, y = -√3/2, -1/2
Therefore, it can be inferred from the graph that the value of x is -√3/2 and the value of y = -1/2.
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On a plane trip to Hawaii, the baggage weight projected was 2,182 1/4 lbs. The actual weight of all bags totaled 2,095 1/3 lbs. By how much was the projected weight overstated?
Answers
The 86.9167 lbs was the projected weight overstated.
What is arithmetic?
Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
The baggage weight projected was 2,182 1/4 lbs= 2182.25 lbs
The actual weight of all bags totaled 2,095 1/3 lbs=2095.33 lbs
According to given question we have
We know that
The overstated weight = Projected weight - Actual weight
The overstated weight = 2182.25 lbs -2095.33 lbs
The overstated weight = 86.9167 lbs
Therefore, the 86.9167 lbs was the projected weight overstated.
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Calculate the total paid hours of the following workers. The weekly pay is $5.15 per hour, with time and a half for any hours beyond 40. Use Method 2. Round all values to two decimal places.
Answers
REG HOURS WORKED × REG HOURLY PAY = REG WEEKLY PAYCHECK
NEXT
(REG HOURLY RATE × .5) + REG HOURLY RATE = = OT HOURLY RATE
NEXT
TOTAL HOURS WORKED - REG HOURS WORKED= OT HOURS WORKED
NEXT
(TOTAL HOURS WORKED - 40)× OT HOURLY RATE + ;REG WEEKLY PAYCHECK =
TOTAL WEEKLY PAYCHECK
Simplify 0.042 x 0.8
Answers
[Mathematical Situation]
Simplify [tex]0.042[/tex] × [tex]0.8[/tex].
Solution:
[tex]0.0336[/tex]
Hope this helps!
Solve the inequality.
x13
| + 9| < 15
1
x
Answers
Answer:
x < 18 and x > −72
Step-by-step explanation: