Answers
Answer:
x = 3.2
Step-by-step explanation:
Apply pythagorean theorem, c² = a² + b²
Where,
c is the hypotenuse/longest side = √(10² - 9²) ≈ 4.4
a = x
b = 3
Substitute
4.4² = x² + 3²
19.36 = x² + 9
x² = 19.36 - 9
x² = 10.36
x = √10.36
x = 3.2 (nearest tenth)
Related Questions
Mrs. Giavis has 26 marbles in a bag. She has 13 blue marbles, 10 red marbles, and 3 yellow marbles. What is the probably that Mrs. Giavis will pick a blue marble, not replace it, and then randomly pick a red marble?
Answers
Given:
Total number of marbles = 26
Number of blue marbles = 13
Number of red marbles = 10
Number of yellow marbles = 3
To find:
The probability of getting a blue marble then a red marble (without replacement).
Solution:
Total number of marbles = 26
Number of blue marbles = 13
Probability of getting a blue marble is first draw is:
[tex]P(Blue)=\dfrac{\text{Number of blue marbles}}{\text{Total number of marbles}}[/tex]
[tex]P(Blue)=\dfrac{13}{26}[/tex]
[tex]P(Blue)=\dfrac{1}{2}[/tex]
After drawing 1 marble, the remaining number of marbles in the bag is 25.
Probability of getting a red marble is second draw is:
[tex]P(Red)=\dfrac{\text{Number of red marbles}}{\text{Remaining number of marbles}}[/tex]
[tex]P(Red)=\dfrac{10}{25}[/tex]
[tex]P(Red)=\dfrac{2}{5}[/tex]
Now the probability of getting a blue marble then a red marble (without replacement) is:
[tex]P(\text{Blue then red})=P(Blue)\times P(Red)[/tex]
[tex]P(\text{Blue then red})=\dfrac{1}{2}\times \dfrac{2}{5}[/tex]
[tex]P(\text{Blue then red})=\dfrac{1}{5}[/tex]
Therefore, the probability of getting a blue marble then a red marble (without replacement) is [tex]\dfrac{1}{5}[/tex].
PLEASE HELP FAST!
The number 44 is multiplied by a 44-digit number that contains only ones. What is the sum of the digits of the product?
Answers
Answer:
352.
Step-by-step explanation:
The product will have 45 digits, the fisrt and last digit will be 4 and the middle 43 will be 8.
So the sum = 2*4 + 43*8
= 352.
Can someone help me
Answers
I'll help.
A student needs 15 minutes to solve an algebra problem. How many minutes does the student need to solve 5 problems?
it's easy, you only need to divide 15 by 5.
Like this :
15÷5= 3
• because 5×3 = 15 , so you just need to flip it over
so, the student need 3 minutes to solve 5 problems
Factor the following: x^2-7
Answers
Answer:
the answer is 0
hope it helps have a nice dayyy
The area of a circle is 153.86 square meters. What is the diameter of the circle? Use 3.14 for π
Answers
Answer: √ 4A /π or 13.996450848446
Step-by-step explanation:
D = 2R
C = 2πR
A = πR2
where:
R: Radius
D: Diameter
C: Circumference
A: Area
π: 3.14159
Enter the decimal equivalent of 53/100
Answers
percentage : 53%
A right triangle has a hypotenuse measuring 15
inches and one leg measuring 9 inches. What is the
length, in inches, of the other leg of the triangle?
A 3
B 6
C 10
D 12
Answers
Answer:
D
Step-by-step explanation:
15^2 = 9^2 + x^2
x^2 = 15^2 -9^2
x^2 = 225-81
x^2 = 144
x = 12
a circle is inscribed in a equilateral triangle. A point in the figure is selected at random. Find the probability that the point will be in the part that is NOT shaded.
Answers
Answer:
60%
Step-by-step explanation:
Im almost positive this is right if not sorry have a blessed day :)
Which statement about odd numbers is true?
A. If x is odd then x2 is even.
B. If x is odd then 2x is even.
C. If x is odd then x3 is even.
D. If x is odd then 3x is even.
Answers
Whats the value of b?
Answers
Answer:
b = 5
Step-by-step explanation:
This triangle is a 30 - 60 - 90 special right triangle
As you can see in the image provided below the longer leg is equal to the short leg times √3
This means that the short leg is equal to the long leg divided by √3
Thus, b = [tex]\frac{5\sqrt{3} }{\sqrt{3} }[/tex] which is equivalent to 5
The radius of a circle is 8 feet. What is the circle's area?
Use 3.14 for .
Answers
Answer:
50.27
Step-by-step explanation:
remember that the circumference of a circle is 2πr
so 3.15x8 and then multiply by two
Answer:
200.96 ft²
Step-by-step explanation:
Step 1: Define/formula
To find the area of a circle, multiply the radius by itself twice, then multiply the product by pi.
[tex]a=\pi r^2(3.14*radius*radius)[/tex]
Step 2: Solve
According to the word problem, the radius is 8.
From here, we plug the numbers into the formula.
[tex]\pi 8^2(3.14*8*8)=200.96ft^2.[/tex]
Step 3: Conclude
Therefore, the area of this circle is 200.96 ft.²
whats the answer to this ill give brainliest
Answers
Answer:
80
Step-by-step explanation:
110-180=70
30+70=100
100-180=80
Answer:
I think the answer is 80
Step-by-step explanation:
Use the law of sines to complete an expression that represents the angle measure x
Answers
Step by step explanation:
Sin(71)/35.6=Sin(x)/21.3
21.3Sin(71)=35.6Sin(x)
21.3Sin(71)/25.6=sin(x)
Sin^-1(21.3Sin(71)/25.6)=x
51.87827502 degrees=x
51.9= angle x
Jasmine, Georgia, and Olivia are in boats on a lake. Their relative locations are shown in the diagram.
What is the distance from Georgia's boat to Olivia's boat?
Enter your answer in the box. Round your final answer to the nearest whole number.
ft
Answers
Answer:
52ft
Step-by-step explanation:
please help asap will mark brainliest for correct awnser
Answers
Answer:
Option 3
Step-by-step explanation:
The data below represents the number of practices each member of Nidhi's ski team attended.
\qquad25,28,29,29,30,34,35,35,37,3825,28,29,29,30,34,35,35,37,3825, comma, 28, comma, 29, comma, 29, comma, 30, comma, 34, comma, 35, comma, 35, comma, 37, comma, 38
HELP
Which box plot correctly summarizes the data?
Answers
The right box plot that summarizes the data should look like the one constructed below in the diagram attached.
We are given the data set 25, 28, 29, 29, 30, 34, 35, 35, 37, and 38, which are already in order and we need to derive the min, max, median, Q1, and Q3 from the given data set. We need all of these values to construct a box plot to summarize the data.
Now, we will find the minimum value which is 25. The maximum value in the data set is 38. The median is the middle value of the data set and it will lie between the 5th and the 6th data points. The average of both values would give us our median data point = (30 + 34) ÷ 2 = 32
Our Q1 would be the middle data point of the bottom half of the data set which is 29. Q3 would be the middle data point of the top half of the data set = 35. As we have derived these values, we can now construct a box plot to summarize the given data.
Therefore, the right box plot that summarizes the data should look like the one constructed below in the diagram attached.
To learn more about box plots;
https://brainly.com/question/14277132
#SPJ1
The equation of line CD is (y−3) = − 2 (x − 4). What is the slope of a line perpendicular to line CD? (4 points) negative 1 over 2 −2 2 1 over 2
Answers
Answer:
answer 1/2
Step-by-step explanation:
y-3=-2(x-4)
y-3=-2x+8
y=-2x+11
y=mx+c
m= slope which is -2
because it perpendicular It became 1/2
In a competative exam of 40 questions plus three months is awarded for a correct answer and minus one for every correct answer to find the total score for student had 11 wrong answers in his attempt of all questions.
Answers
Answer:
76
Step-by-step explanation:
n a competitive exam of 40 questions, +3 is awarded for a correct answer and -1 for every wrong answer. Find the total score if a student had 11 wrong answers in his attempt of all questions.
Answers gotten wrong = 11
answers gotten right = 40 - 11 = 29
total score = (point for correct answer x number of correct answer) + (point for wrong answer x number of wrong answer)
(+3 x 29) + (-1 x 11) = 76
write an email about a game you played recently
Answers
football waz good and ther was funi monke that go "haha funi monke go stinky poopoo hahahahahhaha".
Find the derivative of f(x) =( -7/x) at x = -3.
pls help !!
Answers
Answer:
[tex]\displaystyle f'(-3) = \frac{7}{9}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightCalculus
Derivatives
Derivative Notation
Derivative of a constant is a 0
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Derivative Rule [Quotient Rule]: [tex]\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle f(x) = \frac{-7}{x}[/tex]
[tex]\displaystyle x = -3[/tex]
Step 2: Differentiate
Quotient Rule: [tex]\displaystyle f'(x) = \frac{\frac{d}{dx}[7]x - \frac{d}{dx}[x](-7)}{x^2}[/tex]Basic Power Rule: [tex]\displaystyle f'(x) = \frac{(0)x - x^{1 - 1}(-7)}{x^2}[/tex]Simplify: [tex]\displaystyle f'(x) = \frac{(0)x - x^0(-7)}{x^2}[/tex]Simplify: [tex]\displaystyle f'(x) = \frac{(0)x - 1(-7)}{x^2}[/tex]Multiply: [tex]\displaystyle f'(x) = \frac{0 + 7}{x^2}[/tex]Add: [tex]\displaystyle f'(x) = \frac{7}{x^2}[/tex]Step 3: Solve
Substitute in x [Derivative]: [tex]\displaystyle f'(-3) = \frac{7}{(-3)^2}[/tex]Evaluate exponents: [tex]\displaystyle f'(-3) = \frac{7}{9}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
The table shows the total profits earned from magazine sales.
select a function that models this situation.
O A.) y = 24x
O B.) y = 10x + 28
O C.) y = 14x + 20
O D.) y = 15x + 10
Answers
Find the measure of the missing angles.
g=
h=
m=
k=
(NO FILES) YOU WILL GET MARKED BRAINLY :)!!
Answers
then the straight line that h and 92° is on =180 so we can use that to solve for h. so 180-92=88. so h =88.
same rules apply to the lower intersection. k=91° and 91+m=180. so m=89°
Answer:
g. 92*
h. 88*
m. 89*
k. 91*
Step-by-step explanation:
To find h and m: All of the angles on a straight line added up equals 180*. So if there are two angles, the sum of them must equal 180* (angle A + angle B = 180*)
So in this case we have angle h + 92* = 180* using algebra, we subtract 92 from both sides and we get angle h = 88*
If you want to check, add 92 + 88 = 180.
Also angle m + 91* = 180*. Same thing as above, subtract 91 from both sides and we get angle m = 89*
If you want to check, add 91 + 89 = 180.
When you have two straight lines intersecting (crossing), the opposing angles at that crossing are going to be equal. So in this case angle g is opposite from the anbgle that we know is 92*, so angle g is also 92*. Same thing for angle k, we know the angle opposite angle k is 91*, so we know that angle k is also 91*.
ILL BRAINLIEST YOU PLEASE HELP ME
Answers
x+79+10=90
Then Combine like terms
x+89=90
subtract 89 from each side
x=1
Answer:
x = 51.5
Step-by-step explanation:
Drag each situation to show whether it can be modeled using a linear or an exponential function. If the situation cannot be modeled with either function type, drag it into the container labeled Neither.
Answers
Answer: the savings account one is linear, the enrollment of students is linear, the investment is exponential as well as the cars value, the speed of the truck is neither (not fully sure) and the temperature outside is linear
Step-by-step explanation: linear means in a straight line without curves meaning if the question mentions percentages it’s automatically not linear as percentages tend to curve. Exponential means it curves which has direct connections to percentages and getting multiplied by
Hope this helps you
HELP!!! Simplify cos^2 0 -1/ 4sin^2 0?
Answers
We need to simpify the given expression. The given expression to us is ,
Given Expression :-
[tex]\sf\implies \dfrac{ cos^2\theta -1}{4 \ sin^2\theta }[/tex]
Using Identity :-
[tex]\sf\implies \red{ sin^2\theta + cos^2\theta = 1}[/tex]
So that :-
[tex]\sf\implies - sin^2\theta = cos^2\theta -1[/tex]
We have :-
[tex]\sf\implies \dfrac{ cos^2\theta -1}{4 \ sin^2\theta } \\\\\sf\implies\dfrac{ - sin^2\theta}{4sin^2\theta}=\boxed{\sf -\dfrac{1}{4}} [/tex]
Hence the required answer is -1/4.
The vertex angle of an isosceles triangle is three times the measure of either base angle. Find the area if the measure of the congruent sides are 14 in
Answers
Answer:
[tex]Area = 93.21in^2[/tex]
Step-by-step explanation:
Given
[tex]\theta \to[/tex] vertex angle
[tex]\alpha \to[/tex] base angle
[tex]\theta = 3\alpha[/tex]
[tex]l = 14in[/tex] -- congruent sides
Required
The area of the triangle
First, calculate the angles
[tex]\theta + \alpha + \alpha = 180^o[/tex] ----- angles in an isosceles triangle
Substitute [tex]\theta = 3\alpha[/tex]
[tex]3\alpha + \alpha + \alpha = 180^o[/tex]
[tex]5\alpha = 180^o[/tex]
Divide both sides by 5
[tex]\alpha = 36^o[/tex]
Recall that: [tex]\theta = 3\alpha[/tex]
[tex]\theta = 3 * 36^o[/tex]
[tex]\theta = 108^o[/tex]
The area is then calculated as:
[tex]Area = \frac{1}{2}l^2 \sin(\theta)[/tex]
[tex]Area = \frac{1}{2}*14^2 \sin(108^o)[/tex]
[tex]Area = \frac{1}{2}*196 *0.9511[/tex]
[tex]Area = 93.21in^2[/tex]
5(y+25)=−13 what is y
Answers
Answer:
y = -27.6
Step-by-step explanation:
To solve for y, you need to isolate the variable on one side of the equation. [tex]5(y+25)=-13[/tex] ⇒ [tex]y + 25 = -2.6[/tex] ⇒ [tex]y = -27.6[/tex].
Answer:
-27.6
Step-by-step explanation:
[tex]5(y + 25) = -13[/tex]
First, distribute the problem.
[tex]5y + 125 = -13[/tex]
Secondly, subtract 125 from -13 and 125.
[tex]125 - 125 = 0[/tex]
[tex]-13 - 125 = -138[/tex]
Now, we are left with 5y = -138.
Lastly, we divide -138 by 5.
[tex]-138 / 5 = -27.6[/tex]
Therefore, y is -27.6.
Here's an attachment to make this explanation clearer.
Someone help please!!!!
Answers
Answer:
26.563, 1.977
Step-by-step explanation:
I will be honest I'm not 100% sure but i believe that the total distance all together is 26.563. I simply added all the distances.
Jada ran 1.977 miles further than Noah.
I'm so sorry if im wrong hope this helps though <3
Homemade applesauce is one of Duncan's favorite foods, so he bought 10 pounds of apples at the farmers' market. His applesauce recipe says that 8 ounces of apples make 1 cup of applesauce. How many cups of applesauce can he make with 10 pounds of apples?
Answers
Answer:
20 cups of applesauce
Step-by-step explanation:
8 ounces = 0.5 pounds
Pounds of apples : cups of applesauce
0.5 pounds : 1 cup = 10 pounds : x cups
0.5/1 = 10/x
0.5*x = 1*10
0.5x = 10
x = 10/0.5
x = 20 cups of applesauce
10 pounds of apples will make 20 cups of applesauce
What is the radius of the circle?
Answers
Answer:
8×ED=3×15
ED=45/8
the radius is the half of the diameter
so its 45/16
Answer:
[tex] \frac{ae}{be} = \frac{ce}{de} = \frac{bc - be}{ad - ae} \\ \\ = > \frac{8}{3} = \frac{15 - 3}{ad - 8} \\ \\ < = > \frac{8}{3} = \frac{12}{ad - 8} \\ \\ = > ad - 8 = \frac{12 \times 3}{8} = 4.5 \\ \\ < = > ad = 4.5 + 8 = 12.5 \\ \\ = > r = 12.5 \div 2 = 6.25[/tex]