Answer:
∠VXW = 57°
∠XVW = 56°
Step-by-step explanation:
Firstly, we need to remember the sum of a triangle's angle ALWAYS equals 180°.
Next, we see that two angles of △XYZ are given to us; 58° and 65°. Adding these two numbers would give us 123°. Now we need to subtract 123 from 180 to find the ∠YXZ; 180° - 123° = 57°.
Once we have this number, we need to remember a straight line also measures 180°. Line YW is important to find our answer, but first we need to find the answer to ∠WXZ. Since ∠YXZ and ∠WXZ come together and create the line YW, we can easily find the answer to ∠WXZ by subtracting ∠YXZ with 180; 180° - 57° = 123°
Now we need to find ∠VXW keeping the previous things I mentioned in mind; 180° - 123° = 57°. This is the answer to our first angle ∠VXW.
Since a triangle's angles always equal to 180° and we have the answer to two angles in △XVW, all we need to do is add then subtract;
67° + 57° = 124°
180° - 124° = 56°
And that is your answer!
∠VXW = 57°
∠XVW = 56°
between which 2 square roots does 7 lie
6,7
23,30
32,43
45,60
Answer:
32, 43
Step-by-step explanation:
Your welcome! :)
Answer:
The answer is 45,60.
Step-by-step explanation:
We can use a square chart to answer this question.
I will zoom in to the particular ones we need.
[tex] {6}^{2} = 36[/tex]
[tex]{7}^{2} = 49[/tex]
[tex] {8}^{2} = 64[/tex]
7 is the square root of 49.
45 lies in between 36 and 49 so its square root is more than 6 but less than 7. It is around 6.708 to the nearest thousandth.
Meanwhile, 60 lies in between 49 and 64 so its square root is more than 7 but less than 8. It is around 7.746 to the nearest thousandth.
Hence, we can say that 7 lies in between the square root of 45 and the square root of 60.
Find the possible dimensions of the picture above please
Answer:
(2x – 7) × (2x + 7)
Step-by-step explanation:
From the question given above, the following data were obtained:
Area (A) = (4x² – 49) m²
Dimension =?
The picture in the question above has a rectangular shape. Thus, the area is given by:
Area (A) = Length (L) × Width (W)
A = L × W
The dimension of the shape will be:
L × W
Now, we shall determine the dimension (L × W) as follow:
Area (A) = (4x² – 49) m²
Dimension (L × W) =?
A = L × W
L × W = 4x² – 49
Recall:
4 = 2²
49 = 7²
Thus,
L × W = 2²x² – 7²
L × W = (2x)² – 7²
Different of two squares
L × W = (2x – 7)(2x + 7)
L × W = (2x – 7) × (2x + 7)
Dimension = (2x – 7) × (2x + 7)
Therefore, the possible dimension (L × W) of the shape is (2x – 7) × (2x + 7)
What is the possibility of drawing either a diamond or an ace from a deck of cards?
1/4
15/52
4/13
17/52
Answer:
4/13
Step-by-step explanation:
Answer:
4/13
Step-by-step explanation:
Since there are 13 diamond-faced cards in the deck, the probability becomes 13/52. There are 4 aces in the deck of 52 cards. There is one ace of diamonds in a deck so that lowers the chances by 1. 17-1=16
16/52=4/13
30 people watched the soccer game last night tickets cost 2.75 each half of these fans bought a program at 1.50 each how much money was collected
(Trigonometry) Find the values of x and y. Round your answers to the nearest tenth.
Answer:
[tex]x = 38.1[/tex]
[tex]y = 23.4[/tex]
Step-by-step explanation:
The given triangle is a right triangle. This is indicated by the box around one of the angles, signifying that the angle measure is (9) degrees. By its definition, a right triangle is a triangle with a (90) degree angle, thus the given triangle is a right triangle. In this situation, one can use right-angle trigonometry to find the value of the unknown side. In essence, right triangle trigonometry provides one with a series of ratios to describe the relationship between the sides and angles of the right trinagle. These ratios are the following,
[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]
Keep in mind that the way a side is named is relative to the angle it is being described from. Thus, the (opposite) and (adjacent) sides acquire different names based on the angle relative to them. However, the (hypotenuse) is the hypotenuse no matter the angle, as the hypotenuse is the side opposite the right angle.
Solve for (y) first. One is given the angle measure and the measure of the side opposite the angle measure. One is asked to find the measure of the side adjacent to the angle. Use the ratio of tangent (tan) to achieve this.
[tex]tan(\theta)=\frac{opposite}{adajcent}\\[/tex]
Substitute,
[tex]tan(52)=\frac{30}{y}[/tex]
Inverse operations,
[tex]y=\frac{30}{tan(52)}[/tex]
Simplify,
[tex]y = 23.4386[/tex]
Now solve for the hypotenuse (x). One could use the Pythagorean theorem to do this, but since this is trigonometry, one might as well use the trigonometric ratios. One is given an angle, as well as the side opposite the angle, one is asked to find the hypotenuse. To do this, one can use the trigonometric ratio of sine (sin).
[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]
Substitute,
[tex]sin(52)=\frac{30}{x}[/tex]
Inverse operations,
[tex]x=\frac{30}{sin(52)}[/tex]
Simplify,
[tex]x = 38.0705[/tex]
All right sorry girl, and it’s dimensions are shown below. What is the approximate volume on the cone?
Answer:
C
Step-by-step explanation:
4 units up and 8 units to the right will align
Choose the number sentence that illustrates the distributive property of multiplication over addition.
a.) 3 × (4 + 6) = (3 × 4) + (3 × 6)
b.) 3 × (4 + 6) = (3 + 4) × (3 + 6)
c.) 3 × (4 + 6) = (3 × 4) + 6
Answer:
A. LHS,
3×(4+6)
3×10
30
NOW,
RHS,
(3×4)+(3×6)
12+18
30
Therefore, A is ans
quadrilateral BANK is a parallelogram. if AB= 10cm and AN= 6cm, what is the length of NK?
guys patulong, thanks!
Answer:
The length of NK is 10 cm.
Answer:
10 cm
Step-by-step explanation:
In parallelogram, opposite sides are parallel and equal.
AB and NK are opposite sides
So, NK = AB = 10cm
Based on the electron configuration of the two
atoms, predict the ratio of metal cationic (+) atom
to nonmetal anionic (-) atom in the compound.
Lithium 1s22s1
Oxygen 1s22s²2p4
A. 1:1
B. 1:2
c. 2:1
D. 3:1
Answer:
2:1
Step-by-step explanation:
It’s flipped
Which of the equations below could be the equation of this parabola?
Answer:
D
Step-by-step explanation:
The parabola opens to the right
therefor it will be of the form x = +y^2
When factored completely, which is a factor of 6x^3-12x^2-48x?
Answer: C
Step-by-step explanation:
The solution is Option A.
The value of the equation is 6x³ - 12x² - 48x is A = 6x ( x + 2 ) ( x - 4 )
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
A = 6x³ - 12x² - 48x be equation (1)
On simplifying the equation , we get
Taking 6x as the common factor , we get
A = 6x ( x² - 2x - 8 )
On simplifying the equation , we get
A = 6x ( x + 2 ) ( x - 4 )
Therefore , the value of A is 6x ( x + 2 ) ( x - 4 )
Hence , the equation is 6x ( x + 2 ) ( x - 4 )
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Two positive numbers have a difference of 21. The larger number is five more than twice the smaller. Find the two numbers.
Mr. Shows can read 8 pages in one hour. How many days would it take him to finish a book if it's 216 pages?
Answer:
27 hours
Step-by-step explanation:
216/8=27
Answer:
Hello There!!
Step-by-step explanation:
(8×27=216) 8 pages=1 hour (1×27)
216 pages= 27 hours
There is 24 hours in one day and there is 3 hours left so the answer is 1 day and 3 hours.
hope this helps,have a great day!!
~Pinky~
PLEASE HELP Mandalee went to a fruit stand with $20 to spend on berries. She bought 1 pint of blueberries for $3.50, and she bought raspberries for $4.00 per pint. If x
represents the number of pints of raspberries, which inequality represents the maximum number of pints of raspberries she can buy without spending more than $20? Assume all prices include tax.
Answer:
4
Step-by-step explanation:
4 + 4 + 4 + 4 = 16
16 + 3.50 = 19.50
the 50¢ left is for taxes
The maximum number of pints of raspberries she can buy without spending more than $20 is 4 .
What is inequality?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
According to the question
Mandalee went to a fruit stand to spend on berries = $20
She bought 1 pint of blueberries = $3.50
she bought 1 pint of raspberries = $4.00
Now,
the number of pints of raspberries = x
inequality represents the maximum number of pints of raspberries she can buy without spending more than $20
i.e
3.50 + 4x < 20
4x < 16.5
x < 4.125
therefore
she can buy 4 raspberries pints .
Hence, the maximum number of pints of raspberries she can buy without spending more than $20 is 4 .
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5 people are going to a dinner party. Each person at the party will eat 23 pounds of turkey. If you can only buy whole pounds of turkey, how many pounds should you buy?
Leon verified that the side lengths 21, 28, 35 form a Pythagorean triple using this procedure. Step 1: Find the greatest common factor of the given lengths: 7 Step 2: Divide the given lengths by the greatest common factor: 3, 4, 5 Step 3: Verify that the lengths found in step 2 form a Pythagorean triple: 3 squared + 4 squared = 9 + 16 = 25 = 5 squared Leon states that 21, 28, 35 is a Pythagorean triple because the lengths found in step 2 form a Pythagorean triple. Which explains whether or not Leon is correct? Yes, multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple. Yes, any set of lengths with a common factor is a Pythagorean triple. No, the lengths of Pythagorean triples cannot have any common factors. No, the given side lengths can form a Pythagorean triple even if the lengths found in step 2 do not.
Answer:
Yes, multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple
Step-by-step explanation:
The given side lengths are;
21, 28, and 35
From the given side lengths, the greatest common factor = 7
Therefore, we have;
3 × 7, 4 × 7, and 5 × 7
A Pythagorean triple is formed by three numbers, 'a', 'b', and, 'c', which are both positive and integers, that are related as follows;
c² = a² + b²
Therefore, for the three numbers, we get;
3, 4, and 5 is a Pythagorean triple
5² = 3² + 4²
Multiplying both sides by 7² gives;
(5)² × (7)² = (3)² × (7)² + (4)² × (7)²
By the laws of indices, (a·b)ⁿ = aⁿ × bⁿ
Therefore;
(5 × 7)² = (3 × 7)² + (4 × 7)²
Therefore, multiplying every length of the Pythagorean triple by the same whole number results in a Pythagorean triple.
(The relationship can also be shown using similar triangles, as multiplying the side lengths of a triangle by the same whole number, gives a similar triangle, having the same relationship between its sides)
please answer thisssssssssss
Answer:
Range = 3
Step-by-step explanation:
Data set : 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 3, 3
Range = Largest Number — Smallest Number
Range = 3 - 0
Range = 3
Hope this helps!
The sum of two numbers is 54. One number is 5 times the other. Find the numbers.
Answer:
9 and 45
Step-by-step explanation:
x + 5x = 54
6x = 54
x = 9
5x = 45
Answer:
let the number be x
hence the other number is 5x
we know that
5x + x = 54
6x = 54
x = 54/6
x = 9
so as x equals to 9,
5x = 9×5
5x = 45
Simplify each of the following by rationalizing the denominator.
please do answer my doubt
Answer:
(47+21√5)/2
Step-by-step explanation:
Given the expression
7+3√5/7-3√5
= 7+3√5/7-3√5 * (7+3√5)/(7+3√5)
= 49+21√5+21√5+9(5)/[7(7)-9(5)]
= 49+42√5+45/49-45
= 94+42√5/4
= 2(47+21√5)/4
=(47+21√5)/2
Hence the required expression is (47+21√5)/2
michelle has three textbooks each way 5/8 pounds what is the total weight of her textbook
Answer:
1 and 7/8 pounds
Step-by-step explanation:
There are 3 textbooks that each weigh 5/8 of a pound
3*5/8=15/8
1 and 7/8
i need help plzzz!!!!!! you have to find another point thats in the line with those coordinates. plzzz help dont understand!!!!!!!!!!!!!!!!!
Answer:
(-12, 10)
Step-by-step explanation:
I used a graphing calculator to plot the points and that was the answer. Good Luck!
HELP ME IS THE LAST ONE! Ty
WILL GIVE BRANLIEST! pls help ty! ( ignore the selected answer i just pressed one on accident )
Answer: It's C basically they just have to mirror each other, i hope i helped
Step-by-step explanation:
Answer: I believe the answer is D.
Step-by-step explanation:
what does the scale 1:500 000 mean
A scale of 1:5000000 means that:
This is mainly used in map or shadow etc. things.
For example in map it is given that the scale is 1mm:5000000mm, then it means that 1mm on the map is equal to 5000000mm in real life. So, you can be asked what does 5mm on map means in real life. So, you have to solve like this:
5 × 5000000 = real life size
25000000mm = real life size
In shadow like question, it can be asked that if 5000000 m of building casts a shadow of 1 m, then how much will be the shadow of a 10000000 m building. So, you have to solve it like this:
(10000000/5000000) × 1 = shadow size
=> 2 × 1 = shadow size
=> 2m = shadow size
You can tell me the specific questions so that I can help.
The scale 1:500 000 means 1 unit on a map represents 500000 in real life
What are scales?Scales are used to represent big or small measurements on a map or graph
How to interpret the scale?The scale is given as:
1:500 000
The above means that:
1 unit on a map represents 500000 in real life
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Determine if they are inverses or not
Answer: No
Step-by-step explanation:
They are not inverses because the slope for g(x) needs to also be negative, which it isn't.
A line passes through the points (4, 10) and (2,9). What is its equation in slope-intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y = 1/2x + 8
Step-by-step explanation:
y2 - y1 / x2 - x1
9 - 10 / 2 - 4
-1 / -2
= 1/2
y = 1/2x + b
10 = 1/2(4) + b
10 = 2 + b
8 = b
1. Suly watched a film that was 90 minutes long. 1/6 of the way through the film, the
doorbell rang. The pizza man had arrived with the order.
How many minutes of the film had she watched before the pizza man arrived?
(3 marks)
a.
Answer:
15 minutes
Step-by-step explanation:
Suly watched a film that was 90 minutes long. Then, she stopped at the [tex]\frac{1}{6}[/tex]mark. This means that we have to find [tex]\frac{1}{6}[/tex] of 90 minutes to find the amount of time Suly watched before the pizza man arrived. So therefore, the answer is 15 minutes.
Have a nice day. : )
Answer:
15 minutes
Step-by-step explanation:
Given:
The film Suly is watching is 90 minutes longSuly watched 1/6 of the film before the pizza man arrivedSteps:
90/6=15HELP! Which of the following statements would prove line l is parallel to line m?
Answer:
Non of these.
Step-by-step explanation:
Because each of the options before have ≈ instead of =, however, to prove 2 lines are parallel, some angles must be equal. Corresponding angles and alternate angles should be equal. exactly equal.Point A is located at (−4,2) and point B is located at (0,5).Find AB to the nearest tenth.
Answer:
The length of line segment AB is 5.
Step-by-step explanation:
Envision a right triangle that has one acute vertex at (-4, 2) and the other at (0, 5). The horizontal distance from the first to the second vertex is 0 - (-4) = 4, and the vertical distance is 5 - 2 = 3.
Then the length of the hypotenuse, according to the Pythagorean Theorem, is
d = √(4² + 3²) = 5
The length of line segment AB is 5. Note that this is a 3-4-5 triangle, and so 3² + 4² = 5²
3 + (-2)
pls tell me answer and how to solve it
Answer:
3 + (-2)
= 3 - 2
= 1
hope this helps
[tex]\large\text{Hey there!}[/tex]
[tex]\large\text{Guide}\\\\\large\textsf{2 positives = positive}\\\large\textsf{2 negatives = positive}\\\large\textsf{1 positive \& 1 negative = negative}\\\large\textsf{1 negative \& 1 positive = negative}\\\\\large\textsf{Negatives are on the LEFT SIDE of 0}\\\large\textsf{Positives are on the RIGHT SIDES of 0}\\\\\large\textsf{Positives are GREATER THAN 0}\\\large\textsf{Negatives are SMALLER THAN 0}[/tex]
[tex]\large\text{Answering your question....}[/tex]
[tex]\large\boxed{\mathsf{3 + (-2)}}\\\\\large\boxed{\mathsf{= 3 - 2}}\\\\\large\boxed{\mathsf{= 1}}\\\\\\\large\text{Therefore, your answer is: \huge\boxed{\textsf{1}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]