Answer:
BC ≈ 14.4 mm
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
BC² = AB² + AC² = 2.6² + 14.2² = 6.76 + 201.64 = 208.4
Take the square root of both sides
BC = [tex]\sqrt{208.4}[/tex] ≈14.4 mm ( to 1 dec. place )
What is the degree of the polynomial 2x² 5x³ 7 *?
The degree of the polynomial 2x² 5x³ 7 is 5.
The degree of a polynomial is the highest exponent of the variable in the polynomial. In this case, the highest exponent of the variable is 5, which appears in the term 5x³. The degree of a polynomial is a whole number that tells us how many times the variable is multiplied by itself. The degree of the polynomial is 5.
It's worth noting that polynomials can be constant or non-constant, meaning they don't have to have a variable in them, in that case the degree is 0. And also a polynomial with only one term, the degree of that polynomial is the exponent of that term.
In this case, we only have one term with variable x in it, 5x³, and the degree is the exponent of that term which is 5.
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Which expression represents the correct form for the quotient and remainder, written as partial fractions, of
Answer:
[tex]C)~A+ \frac{B}{x-3} +\frac{c}{(x-3)^2}[/tex]Step-by-step explanation:
→ [tex]\frac{(7x^2-40x+52)}{(x^2-6x+9)}[/tex]
→ [tex]\frac{7x^2-40x+52}{x^2-2.3x+(3)^2}[/tex]
→ [tex]\frac{7x^2-40x+52}{(x-3)^2}[/tex]
So, your answer is C
[tex]----------[/tex]
hope it helps...
have a great day!!
The partial fractions is to start with the simplified, and "decompose" the expression into initial polynomial fractions, and the calculation is as follows:
Partial fractions:The degree of the fraction must be strictly less than the degree of the denominator required to conduct partial fractions. It's critical to keep that in mind. So, once we've established that partial fractions are possible, we factor the denominator to the greatest extent possible.[tex]\to \frac{7x^2-40x+52}{x^2-6x+9}\\\\\to \frac{7x^2-40x+52}{x^2-(3x-3x)+9}\\\\\to \frac{7x^2-40x+52}{x^2-3x+3x+9}\\\\\to \frac{7x^2-40x+52}{x(x-3)+3(x+3)}\\\\\to \frac{7x^2-40x+52}{(x-3)^2}\\\\\to \frac{7x^2-40x+52}{(x-3)^2}\\\\\to A+ \frac{B}{(x-3)}+\frac{C}{(x-3)^2}\\\\[/tex]
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Kelsey rolls a fair die 390 times. The table below shows the outcomes.
Side
Times
Rolled
Kelsey rolls the die 24 more times. What is the most likely number of times she rolls a 4 or a 5?
Ο Α. 8
OB. 12
O c. 2
OD. 4
Answer:
12
Step-by-step explanation:
20 POINTS!!!!!!!!!!!!!!!!!
The measure of angle is, 62°.
What is Complementary angle?The sum of two or more angle is 90 degree then the angle is called the complementary angle.
We have to given that;
⇒ Supplement of an angle is 6 more than 4 times of its complement.
Now,
Let measure of an angle = x
So, By given condition, we can formulate;
The supplement of an angle = 180 - x
And, The complement an angle = 90 - x
Hence, We get;
⇒ (180 - x) = 6 + 4 (90 - x)
Solve for x as;
⇒ 180 - x = 6 + 360 - 4x
⇒ 4x - x = 366 - 180
⇒ 3x = 186
⇒ x = 62°
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If h = 18 units and r = 9 units, then what is the volume of the cone shown above
A. 234 cubic units
B. 1,458 cubic units
C. 972 cubic units
D. 486 cubic units
Answer:
Volume = 1526.04 cubic units
Step-by-step explanation:
Formula for volume of a cone:
V = πr²h/3
If we use 3.14 for pi, we get 1526.04:
V = 3.14(9)^2(18)/3
V = 1526.04
Adrian and Rory started comic book collections at the same time. Adrian started with 12 comic books and buys 4 more each month. Will they ever have the same number of comic books ? If so after how many months ? Use an equation to justify your answer
No, Both will not have the same amount of comic books because they add the same number each month.
What is an Equations?Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.
Adrian started with 12 comic books and buys 4 more each month.
Rory started with 8 comic books and buys 4 more each month.
let x be the number of books.
A(x) = 4x+12
Rory starts with 8 comic books and add 4 comic books each month.
R(x) = 4x+8
Hence, Both will not have the same amount of comic books because they add the same number each month. There will be 4 additional comic books for Adrian.
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The lowest ratio for 54 m in 2.5 hours.
The lowest ratio for 54 m in 2.5 hours will be:
= 54 / 2.5 is 21.6 : 1.
How to illustrate the ratio?Ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).
This simply indicates that you're dividing the variable A by B. Let USA say for instance, the ratio will be 3/10 if A is 5
3 and B is 10.
In this case, the lowest ratio for 54 m in 2.5 hours will be:
= 54 / 2.5.
= 21.6 / 1
= 21.6:1
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Find the value of y
Answer:
y = 4
Step-by-step explanation:
The triangles are congruent.
8y = 6y + 8
2y = 8
y = 4
Write an absolute value equation that satisfies the following condition.
The equation has only one solution x=-17.
Answer:
x=-17.......................
Step-by-step explanation:
x+17=0
Is x+y is an algebraic expression?
Step-by-step explanation:
Yes because it consists of letters
Answer:
its really x+y−π that is an algebraic expression
Step-by-step explanation:
It depends on the definition, and ur age i guess but i think yes
Please mark as brainliest if answer is right
Have a great day, be safe and healthy
Thank u
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The height of the right circular cylinder shown below is 12 feet and its base has a radius of 3 feet. A. 90 B. 125 C. 150 D.200
Answer:
125
Step-by-step explanation:
The height of the right circular cylinder shown below is 12 feet and its base has a radius of 3 feet.
como se representa en fracción 200 con un entero de 1000
Answer:
english?
Step-by-step explanation:
3 divided by 3/4 (three divided by three fourths) | HELP ASAP!
Answer:
[tex]3 \div \frac{3}{4 } \\ = 3 \times \frac{4}{3} \\ = 4[/tex]
A. What must the side length of each square represent for the rectangle to correctly represent (0. 3). (0. 5)?
The side length of each square represent for the rectangle to correctly represent (0, 3) · (0, 5) is 1 units.
A rectangle represented by (0, 3) · (0, 5) has length 3 units and breadth 5 units. To represent that rectangles with minimum number of squares of same size, we calculate the highest common factor.
Highest Common Factor is a mathematical concept used to find the greatest number that divides two or more numbers without leaving a remainder. It is also known as the greatest common divisor (GCD) or the greatest common factor (GCF).
Highest common factor of 3 and 5 is 1 as both are prime numbers. So squares with side length 1 unit best represent the rectangle to correctly represent (0, 3) · (0, 5).
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An entertainment center is 52 inches wide and 40 inches high. Will a tv with a 60 inches diagonal fit ?
No, a TV with a 60 inch diagonal would not fit in an entertainment center that is 52 inches wide and 40 inches high.
What is diagonal?Diagonal is a line connecting two or more points that are not in a straight line. It is used to describe the shape of a polygon and also used in mathematics to refer to lines, angles, and shapes. It can also refer to a line, or direction, that is not parallel or perpendicular to something else. In geometry, diagonal lines are used to divide shapes into equal parts, and are used in the construction of polygons. In linear algebra, diagonal lines are used to calculate the determinant of a matrix.
The diagonal measurement of a TV is the length of a line drawn between the opposite corners of the TV. For a 60 inch diagonal TV, the width of the TV would be around 52 inches and the height would be around 33 inches. As the entertainment center is only 40 inches high, the TV would not fit in it.
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HELP ME I am not really sure how to explain this !!!
Answer:
I'm not good with math lol
What is 5.6 x -0.75
i really need help
Answer:
-4.2
Step-by-step explanation:
your mom < 3 3 3 3 3 3 3
1. The side view of Mrs. Marigold's roof on her house
is shown below.
26 ft.
h
48 ft.
Find h, the height of Mrs. Marigold's roof.
Answer:
The height of Mrs. Marigold's roof is 10 feet.
Step-by-step explanation:
Given that,
Base of the given triangle = 48 ft
Hypotenuse = 26 ft
Half of the base = 24 ft
Using Pythagoras theorem,
[tex]h=\sqrt{26^2-24^2}\\\\h=10\ ft[/tex]
So, the height of Mrs. Marigold's roof is 10 feet.
Ratio, proportion and percent unit 4 homework 3 wages hours 1 wage is $9.50 2 $19.00 3 $28.50 4 $38.00
Answer:
(a) The complete table
[tex]\begin{array}{cccccc}Hours & {1} & {2} & {3} & {4} &{5}\ \\ {Amount} & {\$9.50} & {\$19.00} & {\$28.50} & {\$38.00} & {\$47.50} \ \end{array}[/tex]
(b) $38.00
(c) 3 hours
Step-by-step explanation:
Given
[tex]Earnings = \$9.50[/tex] per hour
See attachment for complete question;
Solving (a): Complete the table
To complete the table, we simply multiply the earnings by the number of hours.
So, we have:
[tex]Hours = 2 \to Earnings = \$9.50 * 2 = \$19.00[/tex]
[tex]Hours = 3 \to Earnings = \$9.50 * 3 = \$28.50[/tex]
[tex]Hours = 4 \to Earnings = \$9.50 * 4 = \$38.00[/tex]
[tex]Hours = 5 \to Earnings = \$9.50 * 5 = \$47.50[/tex]
Solving (b): Earnings, if Megan works for 4 hours
In (a) above, we have:
[tex]Hours = 4 \to Earnings = \$9.50 * 4 = \$38.00[/tex]
This implies that Megan will earn $38.00
Solving (c): Hours to earn $28.50
In (a) above, we have:
[tex]Hours = 3 \to Earnings = \$9.50 * 3 = \$28.50[/tex]
This implies that Megan will work for 3 hours to earn $28.50
Help me with this question
Answer:
314
Step-by-step explanation:
the formula to get the area of a circle is [tex]\pi r^{2}[/tex]
pi=3.14 and r=10
do you get 3.14 x [tex]10^{2}[/tex]
3.14 x 100
314
Two sides of a triangle have lengths 15 and 20. The length of the third side can be any number greater than A and less than
The third side of the triangle will be less than 35.
What is a triangle?A polygon with three angles, sides and angles is called a triangle.
Given that, Two sides of a triangle have lengths 15 and 20. The length of the third side can be any number greater than A and less than
We know that, triangle inequality theorem states that the sum of any two sides of a triangle is greater than or equal to the third side.
Therefore, length of the third side < 15+20 < 35
Hence, the third side of the triangle will be less than 35.
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An isosceles trapezoid has a perimeter of 38 ft and a leg measuring 8 ft. A similar trapezoid has a leg measuring 3ft. Find its perimeter.
The perimeter of a trapezoid is 28ft.
An isosceles trapezoid is a trapezoid whose non-parallel sides (the legs) are equal in length.
The perimeter of an isosceles trapezoid (P) = a + b+ 2c
where a is the top, b is the bottom, and c is the leg of the trapezoid
According to the question,
perimeter = 38ft
leg of an isosceles trapezoid = 8ft
38 = a +b +2 × 8
⇒ 38 = a+b +16
⇒a +b = 38 -16
⇒a +b = 22
Another similar trapezoid has a leg measuring 3ft.
Perimeter of this trapezoid is =( 22 + 2× 3) ft
= (22 +6)ft
= 28 ft
So, the perimeter of a trapezoid is 28ft.
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Please help me it is very urgent!!!
Identify the similar triangles in the figure then find the value of X.
A. Write the similarity statement in the form of triangle~triangle.
B. What is the value of X.
Answer:
A. ∆ABD ~ ∆CDE
B. x ≈ 5.3
Step-by-step explanation:
A. The Acute Angle Similarity Theorem states that when an acute angle in one right triangle is congruent to a corresponding acute angle in another, both right triangles are said to be similar to each other.
<B ≅ <D (both are right angles)
<A ≅ C,
Therefore, ∆ABD ~ ∆CDE
B. Since ∆ABD ~ ∆CDE, corresponding sides would be proportional to each other. This means that:
DE/BD = CD/AB
Substitute:
6/8 = 4/x
Cross multiply
6*x = 4*8
6x = 32
6x/6 = 32/6
x ≈ 5.3 (nearest tenth)
I need help with my final
Answer:
a
Step-by-step explanation:
Answer:
B is the answer .look at the picture I sent.
Which is the complete factorization of this expression?
-20x - 5y
A)5(4x+y)
B) 4(5x - y)
C) -5(4x + y)
D)-5(4x - y)
Factor -20 x-5 y, where x+y=4 and x+y=5. Our prime numbers become much, much harder to factor as we add a few extra digits.
What is meant by factorization ?When you factor in mathematics, you divide a large number into smaller ones that, when multiplied together, give you the original number. Factorization is the division of an amount into its factors or divisors. The factorization of the integer 12, for instance, might be 3 times 4 or something similar. [tex]N = X^{a} * Y^{b} * Z^{c}[/tex] is used to represent the general factorization formula. In this instance, X, Y, and Z stand for a number's factors. Get a polynomial's GCF (Greatest Common Factor).
GCFs of polynomials should be factored out. By grouping the terms, factor a polynomial with four terms. trinomial of the form, and factor it. The size of our goods and the size of the data we use to check mean that each check takes an average amount of time longer. It is clear from this that factoring the product becomes significantly more difficult when we add a few digits to our prime integers.
Therefore the correct answer is option A)5(4x+y)
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PLEASE HELP DUE IN 1 HOUR, AND PLEASE DON'T PUT THOSE LINKS OR ELSE I WILL REPORT YOU.
Answer:
Step-by-step explanation:
m≥150
draw a solid dot (since it is greater than or equal to) starting at 150 and continue to the end of the number line.
Answer:
B. m is greater than or equal to 150
Step-by-step explanation:
if he has to drive at least 150, then he must drive 150 miles or more
i have help with this q
The slope of the graph is equivalent to 6 units.
What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
{m} - slope.
{c} - intercept along the y - axis.
Given is the graph showing the amount of water in the tank after the several minutes of it being turned off.
We can write the slope of the graph as -
m = (16 - 10)/(2 - 1)
m = 6
Therefore, the slope of the graph is equivalent to 6 units.
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Solve for the missing side in the special right triangle.
Answer:
3
Step-by-step explanation:
If I remember how to solve these questions correctly, if there is a triangle that is 45 degrees, the hypotenuse will be times the square root of 2 of the other two sides (which are equal to eachother). Hope this helped!
Answer:
[tex] \cos(45 \degree) = \frac{3 \sqrt{2} }{x} \\ x = \frac{3 \sqrt{2} }{ \cos(45 \degree) } \\ x = 6[/tex]
Line q passes through points (6,8 )and( 3,4). Line r is perpendicular to q . What is the slope of line r
Answer:
The slope of line r is -3/4
Step-by-step explanation:
First, let's find the slope of line q. We can find the slope by finding the change in y over change in x.
[tex]\displaystyle{m=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
Therefore, substitute in:
[tex]\displaystyle{m=\dfrac{8-4}{6-3}}\\\\\displaystyle{m=\dfrac{4}{3}}[/tex]
Therefore, the slope of line q is 4/3. Since we want to find the slope of line r and we know by the given that line r is perpendicular to line q. By the definition of perpendicular line is [tex]\displaystyle{m_1m_2=-1}[/tex].
Let [tex]m_1[/tex] be slope of the line q which is 4/3. Therefore, substitute in and solve for [tex]m_2[/tex] (slope of line r)
[tex]\displaystyle{\dfrac{4}{3}m_2=-1}\\\\\displaystyle{4m_2=-3}\\\\\displaystyle{m_2=-\dfrac{3}{4}}[/tex]
Therefore, the slope of line r is -3/4
Using the graph below, identify the transformation from ABC to A'B'C'. ?
Answer: Reflection over the x-axis
Step-by-step explanation: This graph represents the transformation of a reflection over the x-axis because each x-coordinate stays the same but each y-coordinate becomes the positive version of the original negative y-coordinates. ABC and A'B'C' are symmetrical with the line of symmetry being the x-axis.