Answer:
12 cm and 17 cm
Step-by-step explanation:
In all triangles, the sum of any two sides must be greater than the third side. To test this, choose the two shortest sides of the triangle and see if they add to be larger than the third side. If this holds true, then the triangle is possible because all other sides you can choose will also hold true.
Trying each of the answer choices, we have:
[tex]\checkmark 10+12> 17,\\\times 5+10 \ngtr 15,\\\times 1+8 \ngtr 10,\\\times 3+7 \ngtr 10[/tex]
Therefore, the answer is 12 cm and 17 cm.
Please Help Me To Solve For X
Answer:
u & v = 8
Step-by-step explanation:
This triangle is a special 45-45-90 triangle!
In a 45-45-90 triangle, to solve for the hypotenuse use the formula
[tex]h=(sidelength)*\sqrt{2}[/tex]
Here we see that 8 is being multiplied by radical 2!
We can prove that 8 is the side length by using the Pythagorean Theorem!
CAN SOMEONE HELP ME WITH THIS PLEASE AND THANK YOU.
Answer:
17 1/2
Step-by-step explanation:
Match each formula to what it measures.
1. 2 l + 2 w
surface area of a cylinder
2. Πr2
area of a circle
3. 2 Πr2 + 2 Πrh
perimeter of a rectangle
4. Bh
volume of a triangular prism
Answer:
1. 2l + 2w
Perimeter of a rectangle
2. πr2
Area of a circle
3. 2πrh+2πr^2
Surface area of a cylinder
4. Bh
Volume of a triangular prism.
(This formula means the area of the base multiplied by the height)
Step-by-step explanation:
I really hope this helps!
Solve for x. Round to the nearest tenth of a degree, if necessary. Please help!!!!
45
W
V
92
Answer:
[tex]\displaystyle x^\circ \approx 29.3[/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 EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] sinθ = opposite over hypotenuseInverse TrigStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = x
Opposite Leg = 45
Hypotenuse = 92
Step 2: Solve for x
Substitute in variables [sine]: [tex]\displaystyle sin(x^\circ) = \frac{45}{92}[/tex]Inverse Trig: [tex]\displaystyle x^\circ = sin^{-1}(\frac{45}{92})[/tex]Evaluate: [tex]\displaystyle x^\circ = 29.2834436[/tex]Round: [tex]\displaystyle x^\circ \approx 29.3[/tex]pls help me solve this question pls show how you got the answer
A grandfather clock that usually sells for $500 is selling at a 25% discount.
What is the sale price of the clock?
Answer:
$375
Step-by-step explanation:
Method I
25% = .25
500 * .25 = 125
500 - 125 = 375
-----------------------
Method II
1 - .25 = .75
500 * .75 = 375
cot²3x - 3cot3x +2 = 0
cotx = t
what equation for t
Answer:
Step-by-step explanation:
cot²(3x)=y
y²-3y+2=0
y²-y-2y+2=0
y(y-1)-2(y-1)=0
(y-1)(y-2)=0
y=1,y=2
cot3x=1
tan 3x=1=tan (π/4)=tan (nπ+π/4)
3x=nπ+π/4=(4nπ+π)/4=(4n+1)π/4
x=(4nπ+1)π/12,n is an integer.
cot 3x=2
tan 3x=1/2
3x=tan^{-1}(1/2)≈26.57°+360n
x≈8.86°+120n
Tina, a single woman, earned wages of $70549, received $1287 in interest from a savings account, and contributed $2753 to a tax-deferred saving plan. She contributed $1505 to charity. Find Tina's federal tax. (More info in the attachment)
Answer:
[tex]\$14,733.25[/tex]
Step-by-step explanation:
Taxable income refers to the income subject to taxes from government, including but not limited to federal tax.
Since taxable income is equal to $58,933, tax will be based off of this value. Because Tina is single and her income falls within the 25% range, her federal tax is equal to:
[tex]\$58,933\cdot 0.25=\boxed{\$14,733.25}[/tex]
simplify this 2x - 1 = 8
Answer is below. Look at the steps to clearly understand my answer.
Now, the first time to simplifying this to add both sides by 1.
2x - 1 = 8 → 2x - 1 + 1 = 8 + 1
Since we added both sides, we'll now simplify the problem.
Add both numbers.
2x - 1 + 1 = 2x8 + 1 = 92x = 9Lastly, we'll divide both sides of the equation by the same term.
2x = 9[tex]\frac{2x}{2} =\frac{9}{2}[/tex]Now, cancel both terms that are in both the numerator and denominator.
If you look back at the fraction, 2 is in the numerator and denominator, so we'll cancel those terms.
When you cancelled the terms, you should get x = 9/2.
Any questions? Comment below.
Answer:
Hi, there the answer is [tex]x=\frac{9}{2}[/tex]
Step-by-step explanation:
Step 1: Add 1 to both sides.
2x−1+1=8+1
2x=9
Step 2: Divide both sides by 2.
2x /2 = 9 /2
x= 9 /2
Hope This Helps :)
Select all of the expressions which show how to convert 2.5 yards into inches.
Answer:
90
Step-by-step explanation:
The second statement is the
of the first.
X = у
y = x
A. contradiction
B. inverse contrapositive
C. inverse
D. converse
a
SUBMIT
HELP
Answer:
The second statement is the
of the first.
X = у
y = x
A. contradiction
B. inverse contrapositive
C. inverse
D. converse
Step-by-step explanation:
imverse
The second statement is the contrapositive of the first.
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.
We know that x → y is a conditional statement read as 'if x then q'.
And, The converse EXCHANGES the hypothesis and conclusion such as:
⇒ y → x
And, The 'contrapositive' statement basically NEGATES the converse of the conditional such as:
⇒ ¬y → ¬x
Coming back towards the question,
Given that;
x ⇒ y
¬y ⇒ ¬x
Therefore, The second statement is the contrapositive of the first.
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I NEED HELP PLEASE UHHH PLEASE I NEED HELP UUUUHHHHHHH
Sulio wants to build a wooden fence to enclose his vegetable garden. Determine the amount of fencing he needs by finding the perimeter of the garden.
Perimeter = 2 times length + 2 times width. The length of a garden is 8 feet and the width is 6 feet.
Evaluate the formula for the perimeter of a parallelogram to solve the problem. Then check all that apply.
First, write the formula for the perimeter of a parallelogram, P = 2l + 2w.
Next, use parentheses when you substitute 8 for l and 6 for w.
After multiplying, add 16 and 12.
Sulio needs 28 feet of fencing.
Sulio needs 48 feet of fencing.
Answer:
Sulio needs 28 feet of fencing
Step-by-step explanation:
P= 2l + 2w
Length- 8 ft
Width- 6 ft
Use formula with the given:
2(8) + 2(6)
= 16 + 12
= 28
Therefore, Sulio needs 28 feet of fencing
Hope this helps
Answer:
a, b, c, d
Step-by-step explanation:
Which set is closed under subtractionWhich answer choice shows that the set of irrational numbers is not closed under addition
Answer:
(a) Set of rational numbers
(b) [tex]\pi + (-\pi) = 0[/tex]
Step-by-step explanation:
Solving (a): Set that is closed under subtraction
The solution to this is rational numbers.
For a set of number to be closed under subtraction, the following condition must be true
[tex]a -b = c[/tex]
Where
a, b, c are of the same set.
The above is only true for rational numbers.
e.g.
[tex]1 - 2 = -1[/tex]
[tex]5 - 5 = 0[/tex]
[tex]\frac{1}{2} - \frac{1}{4} = \frac{1}{2}[/tex]
[tex]4 - 2 = 2[/tex]
The operations and the result in the above samples are rational numbers.
Solving (b): Choice not close under addition[See attachment for options]
As stated in (a)
For a set of number to be closed under subtraction, the following condition must be true
[tex]a -b = c[/tex]
Where
a, b, c are of the same set.
In the given options (a) to (d), only
[tex]\pi + (-\pi) = 0[/tex] is not close under addition because:
[tex]\pi[/tex] is irrational while [tex]0[/tex] is rational
In other words, they belong to different set
the most obese countries in the world have obesity rates that range from 11.4% to 74.6%.
a. what is the best estimate of the average obesity percentage for these countries?
b. The United States has an average obesity rate of 33.9%. Is this the rate above average or below?
c. How does the United States Compare to other countries?
The required a) average is 43%, b) average obesity of the United States is below the average, and c) the United States obesity is moderate.
Statistics is the study of mathematics that deals with relations between comprehensive data.
Here,
a. To determine the best estimate of the average obesity percentage for these countries.
Average = 11.4 + 74.6 / 2 = 86 / 2 = 43%.
b. The United States has an average obesity rate of 33.9%.
Since the average is 43%, so the rate of the united states is below the average.
c. How does the United States Compare to other countries?
Since the rate of obesity of the united states is moderate it lies between the interquartile ranges.
Thus, the required a) average is 43%, b) average obesity of the United States is below the average, c) the United States obesity is moderate.
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Help please like please
Answer:
With What?
Step-by-step explanation:
Write the equation (y = mx+b) for the following scenario: A bulldozer can be rented at a fixed rate of $800 plus $120 for every hour that it is used.
A tablet and a digital camcorder are both on sale for 30% off. The regular price of the tablet is $185. The regular price of the camcorder is $140.
Answer:
355
Step-by-step explanation:
185+140= 325
325+20= 355
Answer:
30/185×100=
Step-by-step explanation:
30/140×100=
help help help with maths please
Find the Area of the figure below, composed of a rectangle and a semicircle. The
radius of the circle is shown. Round to the nearest tenths place.
13
3
Answer:
What grade math is this??
Step-by-step explanation:
Answer:92.1
Step-by-step explanation:
A=78+4.5
A=92.137166941154
A=92.1
The diameter of this beach ball is 12 inches.
Apply the formula for the volume of a sphere to
determine how much air it can hold. Use 3.14159 or
the a button on a calculator. Round the answer to the
nearest hundredth.
4
Sphere V = ſ tem
How much air can the beach ball hold?
Answer:
904.78
Step-by-step explanation:
Seven students were surveyed on the amount of money they make per hour. The results are shown below:
$8.00 $8.25 $8.50 $9.00 $9.25 $10.00 $10.50
What is the mode of the data set?
Answer:
There is no mode in these set of numbers.
Seven students were surveyed on the amount of money they make per hour. The results are shown below: $8.00, $8.25, $8.50, $9.00, $9.25, $10.00, $10.50 for this given data there is no mode present in the dataset.
In statistics, the mode is a measure of central tendency that represents the most frequently occurring value in a dataset. It can be used to determine the typical or common value in a given set of data. In this case, we have the hourly wages of seven students, and we need to find the mode of this dataset.
To find the mode, we need to identify the value that occurs most frequently in the dataset. Let's list the data in ascending order:
$8.00, $8.25, $8.50, $9.00, $9.25, $10.00, $10.50.
From the given data, we can observe that no value is repeated. In this case, we say that there is no mode or the dataset has no mode. Since each student earns a different hourly wage, there is no single value that appears more frequently than the others.
Mathematically, we can represent the given dataset as a set of values: {8.00, 8.25, 8.50, 9.00, 9.25, 10.00, 10.50}. The mode, denoted as "Mode(X)", is the value(s) that occur(s) most frequently in the dataset X.
In this case, Mode(X) = None or Mode(X) = ∅ (empty set).
This indicates that there is no mode present in the dataset.
It is important to note that a dataset can have more than one mode or no mode at all. When there are two or more values with the same highest frequency, the dataset is said to be multimodal. In our example, since all values occur only once, there is no mode.
In conclusion, the mode of the given dataset, which represents the most frequently occurring value, is not applicable in this case as there is no value that occurs more frequently than the others.
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What is the answer. Do anything begging for help
Answer:what’s the question?
Step-by-step explanation:
Can someone help me out these problems !!!
Answer:
Zoom in more and I can help
Step-by-step explanation:
Pls help!! I can’t figure out how to do thisss
Answer: 30 and 26
Step-by-step explanation:
Find the volume of the square pyramid. Round your answer to the nearest hundredth.
A. 11.16 cubic yards
B. 54.25 cubic yards
C. 60.26 cubic yards
D. 96.12 cubic yards
Answer:
B
Step-by-step explanation:
Question
Find the Surface Area of the Square Pyramid.
6 m
4 m
The surface area of a square pyramid is equal to: B. 64 m².
How to calculate the surface area of a square pyramid?In Mathematics, the surface area of a square pyramid can be calculated by using this mathematical equation:
Surface area of square pyramid = [tex]a^2+2a\sqrt{(\frac{a}{4})^2 +h^2}[/tex]
where:
a represents the base edge of a square pyramid.h represents the height of a square pyramid.For the height, we have:
6² = h² + (4/2)²
36 = h² + 4
h² = 32
h = √32
Height, h = 5.7 m.
By substituting the given side lengths into the formula for the surface area of a square pyramid, we have the following;
Surface area of square pyramid = [tex]4^2+2(4)\sqrt{(\frac{4}{4})^2 +5.7^2}[/tex]
Surface area of square pyramid = [tex]16+8\sqrt{(1 +32)}[/tex]
Surface area of square pyramid = 64.33 ≈ 64 m².
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2/9-1/5*x
An equivalent expression ☝
Answer:
1/45
Step-by-step explanation:
A woman buys a pair of shoes at a sale,
She pays $60. saving $15 on the regular
price. The percentage discount on the
shoes is
(A)
20
(B)
25
-
(C)
33
3
(D)
80
Answer:
20 %
Step-by-step explanation:
If she saved 15 dollars and paid 60, the original price was 60+15 = 75
The percent discount is (original - new) / original = ( 75-60)/75 = 15/75 = .2
Change to percent form = .2 * 100 =20%
Answer:
B.) 20 %
The percentage discount on the shoes is 20 % .
Step-by-step explanation:
Given :- A woman buys a pair of shoes at a sale . She paid $60 and saving $15 on the regular price.To Find :-The percentage discount on the shoesSolution. :-She pays 60 dollers and saved 15 dollers on the regular price.
original price of pair of shoes = 60 + 15 = 75
Percentage discount is = original price - new price / original price
= 75 - 60 / 75 = 15 / 75 = 0.2
Percentage discount = 0.2
Change into percentage =0.2× 100 = 20%
Therefore, the percentage discount on the shoes is 20 % .
plz help
Find the slope, m of the line that passes through the points (3/8, −1/4) and (−5/16, 1/6).
Enter your answer as a fraction in simplest form in the box.
Answer:
-20/33
Step-by-step explanation:
y2 - y1 / x2 - x1
1/6 - (-1/4) / -5/16 - 3/8
5/12 / -11/16
= -20/33
The graph of h (x) = StartAbsoluteValue x minus 10 EndAbsoluteValue + 6 is shown. On which interval is this graph increasing
Answer:
x≥10 or x∈[10, ∞)
Step-by-step explanation:
The graph we are given is h(x) = |x-10|+6, which has the shape of a V. The vertex is at (10, 6), so to the right of the vertex, the graph is increasing.
Therefore, the graph increases during the interval x≥10 or x∈[10, ∞).