Answer:
a = 5
Step-by-step explanation:
a^2 + b^2 = c^2
Substitute
b = 12
c = 13
a^2 + 12^2 = 13^2
a^2 + 144 = 169
a^2 = 25
a = [tex]\sqrt{25} \\[/tex]
a = 5
Mark brainliest please!
Answer:
use Pythagoras theorem
Step-by-step explanation:
[tex]a^{2} + b ^{2} = c ^{2} \\ a ^{2} + 12 ^{2} = 13 ^{2} \\ a = 5[/tex]
35-36 Use a graph to find approximate [tex]x[/tex] -coordinates of the points of intersection of the given curves. Then use your calculator to find (approximately) the volume of the solid obtained by rotating about the [tex]x[/tex] -axis the region bounded by these curves.
36. [tex]y=\sqrt[3]{2 x-x^{2}}, \quad y=x^{2} /\left(x^{2}+1\right)[/tex]
The approximate x-coordinates of the points of intersection of the given curves are 0 & 1.76, and the volume of the solid when rotated about the x-axis is 3.15 cubic units
Part A: The points of intersectionThe equations are given as:
y = ∛2x - x²
y = x²/(x² + 1)
See attachment for the graph of the above curves (equation)
From the attached curve, we have the following points of intersection
(x,y) = (0,0) and (1.76,0.76)
Remove the y coordinates
x = 0 and 1.76
Hence, the approximate x-coordinates of the points of intersection of the given curves are 0 and 1.76
The volume of the solid when rotated about the x-axisThe volume of the solid is calculated using:
V = π(R² - r²)
Where R and r are the outer and the inner radii, respectively.
In this case;
R = ∛2x - x²
r = x²/(x² + 1)
Using a calculator, we have:
V = 3.15
Hence, the volume of the solid when rotated about the x-axis is 3.15 cubic units
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A 15-foot ladder is leaning against a building, with the base of the ladder 5 feet from
the building. How high up on the building will the top of the ladder reach?
Answer:
10√2
Step-by-step explanation:
We can form a triangle with the clues in the question, and use the formula A²+B²=C²
Now, we plug in our values.
5²+B²=15²
25+B²=225
B²=200
B=√200
√200 =√2x2x2x5x5 = 10√2
What is the domain of f(x) = √x – 4 over the set of real numbers?
Answer:
(2) x [tex]\geq \\[/tex] 4
Step-by-step explanation:
Given the sqrt(x), x [tex]\geq \\[/tex] zero
So, given sqrt(x -4), x -4 [tex]\geq \\[/tex] 0
Now solve for x
x - 4 [tex]\geq \\[/tex] 0
x [tex]\geq \\[/tex] 4
Problem 20 pls helps
Answer:
135
Step-by-step explanation:
[tex]d = 45t[/tex]
[tex]d(3) = 45( 3) = 45 \times 3 = 135[/tex]
[tex]d(3) = 135[/tex]
I HOPE IT HELPED YOU
Answer:
135
Step-by-step explanation:
sub 3 in place of t then times and it 135
Hoy do you write 43% as a decimal
Answer:
0.43
Step-by-step explanation:
Just take out the % sign and divide it by 100.
For your example:
43%
Take out the percentage
43
Divide it by 100.
0.43
And there is your answer :)
Answer:
You should move the decimal 2 place
Step-by-step explanation:
43/100 = 0.43
what is (-3) X (5-7) - (39/3)
Answer:
-7
Step-by-step explanation:
(-3)×(5-7)-(39/3)
First solve the ones within the brackets
(-3)×(-2)-13
Then solve the multiplications and the divisions
6-13
= -7
If you divide me by 42, the
quotient is 56. What number
am I?
2352
hope it helps...!!!
Answer:
2352
Step-by-step explanation:
If you divide 2352 by 42, the quotient would be 56.
This can easily be solved knowing what inverse operations are.
42 * 56 = 2352
Therefore,
2352 / 42 = 56
More info can be found searching inverse operations.
Which of the function rules below would result in the following graph? On a coordinate plane, a line goes through (2, 2) and (6, 4). a. y = 0.5 x + 1 c. y = 2 x + 1 b. y = 0.5 x minus 1 d. y = two-thirds x + 1 Please select the best answer from the choices provided A B C D
study the figures below and calculate its surface area by identifying first what is the value of its base and height or length and width?
Answer:
[tex]937.5 m x^{2} \\1369 cm x^{2} \\276mx^{2} \\17500mx^{2} \\270cmx^{2}[/tex]
Step-by-step explanation:
Soulution : Area of a triangle { Area Of A Triangle = 35m x 25m x 1/2 = [tex]437.5mx^{2}[/tex] bottom x height x 1/2 }
Area of the squear ( [tex]37cmx^{2}[/tex] ) = [tex]1369cmx^{2}[/tex] { Area of square = ( [tex]sidex^{2}[/tex]) }
Area of the rombus 1209 x 23m = [tex]276mx^{2}[/tex]
Area of the rectangle 175m x 100m = [tex]17500mx^{2}[/tex]
Area of the parallelogram 18cm x 15cm = [tex]270cmx^{2}[/tex]
Giovanni left the house for 240 seconds. How many minutes was Giovanni gone?
Answer:
4 minutes
Step-by-step explanation:
There are 60 seconds in 1 min
240÷60=4
Segment AB has endpoints at A(-7,2) and b(9,-6). Point P lies on AB such that AP:BP=3:1
Determine the coordinates of P
The coordinates of the point P which divides the line segment AB made by the points A(-7,2) and B(9,-6) is (x,y) = (5,-4)
What is the coordinate of the point which divides a line segment in a specified ratio?Suppose that there is a line segment [tex]\overline{AB}[/tex]such that a point P(x,y) lying on that line segment [tex]\overline{AB}[/tex] divides the line segment [tex]\overline{AB}[/tex] in m:n, then, the coordinates of the point P is given by:
[tex](x,y) = \left( \dfrac{mx_2 + nx_1}{m+n} , \dfrac{my_2 + ny_1}{m+n} \right)[/tex]
where we have:
the coordinate of A is [tex](x_1, y_1)[/tex]and the coordinate of B is [tex](x_2, y_2)[/tex]We're given that:
Coordinate of A is [tex](x_1, y_1)[/tex] = (-7,2)Coordinate of B is [tex](x_2, y_2)[/tex] = (9.-6)The point P lies on AB such that AP:BP=3:1 (so m = 3, and n = 1)Let the coordinate of P be (x,y), then we get the values of x and y as:
[tex](x,y) = \left( \dfrac{mx_2 + nx_1}{m+n} , \dfrac{my_2 + ny_1}{m+n} \right)\\\\(x,y) = \left( \dfrac{3(9) + 1(-7)}{3+1} , \dfrac{3(-6) + 1(2)}{3+1} \right)\\\\(x,y) = \left( \dfrac{20}{4} , \dfrac{-16}{4} \right) = (5,-4)[/tex]
Thus, the coordinates of the point P which divides the line segment AB made by the points A(-7,2) and B(9,-6) is (x,y) = (5,-4)
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identify each type of tax describe. Tariff, Property, Payroll ,Income
• A tax on certain imported or exported goods. •A tax based on a percentage of an individual's income.
• A tax on wages to fund programs such as Social Security
•A tax based on the value of a home, land, or an office building
Answer:
a tax on certain imported or exported goods is tariff
a tax based on a percentage of an individual's income is income
a tax on wages to fund programs such as Social Security is payroll
a tax based on the value of a home, land, or an office building is property
Step-by-step explanation:
will mark brainliest
Answer:
The outcomes of his 40 experiments are listed in the table, according to him there were 13 times there were two tails. Now simply multiply that times three considering the amount of expirement was tripled.
13 times 3 = 39
In the picture below, line PQ is parallel to line RS, and the lines are cut by a transversal, line TU. The transversal is not
perpendicular to the parallel lines
Which of the following are supplementary interior angles?
OA. ZG and ZF
OB. ZE and ZF
OC. ZH and G
OD X and ZE
Answer: A
Step-by-step explanation:
What would be the future value of 19,378 invested now if the money remains deposited for eight years and the interest rate is 18
percent
Answer:
$72,839.17
Step-by-step explanation:
[tex]19378( {1.18}^{8} ) = 72839.17[/tex]
Hey y’all no bots pls I need help with some 7th grade math
Answer:
The ratio for the triangle on the left is
9/12 which is .75
Just multiply 16 by .75 and the missing angle is 12
A local gym conducted a survey to find the average number of hours per week people in the community spent exercising. Of the
300 people surveyed, 64% were men. Of all the people surveyed, 37% of people said they exercised 7 or more hours per week. Of all
the women surveyed, 75% said they spent less than 7 hours per week exercising.
Complete the two-way table to show the number of men or women in each category based on the given information.
Answer:
Men Women Total
Exercise less than 7 hours per week
Men:108
Women:81
Exercise 7 or more hours per week
Men:84
Women:27
Step-by-step explanation:
A total of $5000 is invested: part at 7 % and the remainder at 15 %. How much is invested at each rate if
the annual interest is $480?
determine the general solution
Answer:
There is no question given here.
The fall of brainly 2019-2021
those spam bots took it over
Answer: Pop up ads show up
Step-by-step explanation: because of them
Please help me tyy!!
Answer:
aight so monkey monkey is monkey so if u put monkey and monkey together u get happy baby monkey did i explain myself?????
Step-by-step explanation:
What is the Standard form for 10^6?
A.60
B.100,000
C.1,000,000
D.10,000,000
10^6 can be expanded as follows: 10 x 10 x 10 x 10 x 10 x 10
1 stays the same, and there are 6 zeroes (the same number as the exponent)
10^6 = 1000000
Correct Answer: C, 1000000
Hope this helps!
Answer:
C. 1,000,000
Step-by-step explanation:
10¹ = 10
10² = 100
10³ = 1,000
10⁴ = 10,000
10⁵ = 100,000
10⁶ = 1,000,000
2. A light fixture contains 6 light bulbs. With normal use, each bulb has a 0.85
chance of lasting for at least 4 months. What is the theoretical probability that
all 6 bulbs will last for 4 months? Round to the nearest whole percent.
Using the binomial distribution, it is found that there is a 0.38 = 38% theoretical probability that all 6 bulbs will last for 4 months.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem, we have that:
There are 6 bulbs, hence n = 6.Each bulb has a 0.85 chance of lasting for at least 4 months, hence p = 0.85.The probability that all 6 bulbs will last for 4 months is P(X = 6), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 6) = C_{6,6}.(0.85)^{6}.(0.15)^{0} \approx 0.38[/tex]
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In the xy-plane, line k is parallel to the line with equation Y=7x+5. Which of the following could be an equation of line k??
Any equation that starts with y =7x
Parallel lines have the same gradient.
(No options to choose from)
Hope this helps!
Any Equation start with y = 7x + c is parallel to given equation.
What is Parallel lines?To determine whether or not two lines are parallel, the formula for parallel lines is used. When we have the slopes of two lines that we want to compare, we can use the parallel line formula. The parallel lines' distances never change.
Given Equation
y = 7x + 5
and line k
line k is parallel to equation y = 7x + 5
for parallel lines
The formula for determining whether two lines are parallel is as follows for any two lines with the equations y = m₁ x + c₁ and y = m₂x + c₂:
where m₁ and m₂ are the slopes of the two lines. m₁ = m₂.
given equation y = 7x + 5,
here m₁ = 7 and c₁ = 5
the line which is parallel to equation should be
y = 7x + c
where m₂ = m₁ = 7 and c₂ = c
Hence equation y = 7x +c is parallel to given equation.
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Find the point-slope equation for the line that passes through the points (5, 35) and (-6, -31). Use the first point in your equation..
To Find ↓The point-slope equation for the lineCalculations ↓
First of all, we need to find the slope. In order to find the slope, we'll use the following formula :
[tex]\boxed{\\\begin{minipage}{2cm}slope \\ $\displaystyle\frac{y2-y1}{x2-x1}$\end{minipage}}[/tex]
[tex]\boxed{\\\begin{minipage}{2cm}$\displaystyle\frac{-31-35}{-6-5}$ \\ \end{minipage}}[/tex]
[tex]\boxed{\\\begin{minipage}{2cm}$\displaystyle\frac{-77}{-11} \\ \end{minipage}}[/tex]
Which simplifies to :
[tex]\text{Slope = 7 }[/tex]
Now that we know the slope, finding the point-slope equation is a piece of cake.
Remember Point-Slope :
[tex]\text{y - y1 = m(x-x1)}[/tex]
We're told to use the first point (5, 35) in our equation, so we'll do just that.
[tex]\LARGE\text{y - 35=7(x-5)}[/tex]
[tex]\mathsf{equation\:above}[/tex]
hope helpful ~
Deshaun drinks 0.25 L of milk every day. How much milk does he drink in 13 days?
Answer: 3.25 L
Step-by-step explanation:
0.25 x 13 days = 3.25
Solve using the quadratic formula. Round answers to the nearest hundredth.
6x^2-14x-9=0
Answer:
use the quadratic formula
Step-by-step explanation:
from the equation a=6 b=-14 c=-9
from the quadratic formula
[tex]x = ( - b {+ or - } \sqrt{ {b}^{2} + 4ac} ) \div 2a[/tex]
therefore insert in the values of a, b and c
[tex]x = ( - ( - 14) + or - \sqrt{ {( - 14)}^{2} + 4 \times 6 \times ( - 9)} ) \div 2 \times 6[/tex]
x=2.858148594
X=-0.52481526
after inserting
Enter your answer in the box.
x=
Answer:
43º
Step-by-step explanation:
Angles in a straight line = 180º so:
180 - (90+47) = 43º.
Alternate angles are equal so the x is also 43º.
11 4/5 divided by 3 1/5
A) 3
B) 3 1/2
C) 7/2
D) 4
Answer:
Step-by-step explanation:
The two given numbers both have the denominator 5, Thus the quotient quickly reduces:
11 4/5 becomes 59/5 and 3 1/5 becomes 16/5. Dividing the first expression by the second yields 59/16, which can't be reduced.
However, 59 = 48 + 11, so 59/16 = 48/16 + 11/16, which is approximately 3 1/2 (from either Answer B or Answer C).
The exact answer is 3 11/16; B and C are identical and are closer to 3 11/16 thn 3 or 4.
Please help me find the area of this irregular shape.
Answer:
23 Cm(2)
Step-by-step explanation:
Sincerest Apologies if it is incorrect
if it's not 23 it may be:
26 Cm(2)