Answer:
The other leg is √65 cm
Step-by-step explanation:
Hi there!
We are given that the hypotenuse of a right triangle measures 9 cm, and one of the legs measures 4 cm
We want to find the measure of the other leg
In right triangles, we can use the theorem to find the value of a side, if we know the lengths of the other two sides
The formula for the Pythagorean theorem is a²+b²=c², where a and b are legs, while c is the hypotenuse
If we say a is 4 and c is 9, then the equation will look like this:
(4)²+b²=(9)²
Raise each number to the second power
16 + b²= 81
Subtract 16 from both sides
b²=65
Take the square root of 65
b=√65, -√65
-√65 is not an applicable root for this problem, since distance cannot be negative
Hence, our answer is √65 cm
Hope this helps!
Find the measure of the exterior angle.
Answer:
125
Step-by-step explanation:
75 + 50
Directions:
It’s easy for people to get stuck in their own minds or their own worlds instead of seeing the perspectives of others. Take a moment to consider the perspective of the characters listed. Choose one character. Write a short paragraph to explain the perspective of that character by putting yourself “in their shoes.” Consider these questions:
What might be his or her struggles?
How does the character see the world around himself or herself?
What decisions would you make if you were in the character’s place?
Be sure to use specific examples or textual evidence from research, the readings in this class, or your own experiences and knowledge.
Prompt:
Topic 1: Perspective of Montresor in “The Cask of Amontillado”
Topic 2: Perspective of Princess Irene in The Princess and the Goblin, Chapter 14
Answer: Montresor struggles with anger, and grudges. Montresor feels remorse at the end but excuses it as the dampness of the catacombs.
He sees the world without justice and sees to make justice for himself. In the story he talks about the misgivings and insults he receives from fortunato. He takes vengeance against him.
(haven´t read book based off summary) Princess Irene shares a friendship that is strong. I infer this based off the trust and bonding they share in the book. She struggles against goblins.
Step-by-step explanation: I really hope this helps havent read the books in a long time.!!
HELP PLEASE ILL GIVE U BRAINLIEST
Answer:
number 3
Step-by-step explanation:
angleNGL=~angleHGF
Answer:
NG≅GF
Step-by-step explanation:
Since the side has to be in between the two angles so it from a ASA
The angles ∠N is the same as ∠F and ∠NGL is the same as ∠HGF
Use angle relationships to complete the top equation. Then, solve for x and find the measure of both angles.
Your friend solved the equation 4x+12x−6=4(4x+7) and got x=34. What error did your friend make? What is the correct solution?
Answer:
=34
Step-by-step explanation:
4x+12x-6=4(4x+7) ur question
using BODMAS
4x+12x-6=16x+28
16x-6=16x+28
16x-16x=28+6
0=34
but make sure your question is right, can you go through it again
1.1x10^5 in standard notation
Answer:
110000
Step-by-step explanation:
first, expand 10^5, which is 100000
use a calculator (or long multiplication) to multiply 1.1*100000, which is 110000
What is 9 ¼ percent of $485.95 ?
What type of angle is 19 degrees
Answer:
Obtuse Angle
Step-by-step explanation:
Answer:
Acute
Step-by-step explanation:
The denominator of a fraction is 8 more than its numerator. If 1 is subtracted from the numerator and 3 is added to the denominator, the fraction becomes 1/2. Find the fraction
pleases help as soon as possible..thank you so much
Answer:
The fraction is 13/21.
Step-by-step explanation:
The denominator of a fraction is 8 more than its numerator.
Let x be the numerator: x
So the denominator is: x + 8
[tex]\frac{x}{x + 8}[/tex]
If 1 is subtracted from the numerator and 3 is added to the denominator, the fraction becomes 1/2.
It will become:
[tex]\frac{x - 1}{x + 8 + 3} = \frac{1}{2}[/tex]
[tex]\frac{x - 1}{x + 11} = \frac{1}{2}[/tex]
Now, by using cross multiplication, multiply (x - 1) by 2 and (x+11) by 1.
It will become:
2x - 2 = x + 11
Now transpose and combine the same values. Make sure to change the integer sign. If the integer is positive, change it to negative when you transpose it.
2x - x = 11 + 2
x = 13
So the value of x is 13. Now to check if it is correct. Go back to the equation([tex]\frac{x - 1}{x + 11} = \frac{1}{2}[/tex])
Put the value of x in it.
[tex]\frac{13-1}{13+11} = \frac{1}{2}[/tex]
[tex]\frac{12}{24} = \frac{1}{2}[/tex]
12/24 is equivalent to 1/2 so that is correct.
Now, to find the main fraction. Go back to the original equation which is;
([tex]\frac{x}{x + 8}[/tex])
Put the value of x.
[tex]\frac{13}{8 + 13}[/tex]
= 13/21
Not a verified expert but I put much effort to answer your question. Hope it helps:)
WILL MARK BRAINLIEST, PLS INCLUDE SOLUTION
The length of a rectangle is 20cm longer than its width.
The area of the rectangle is 1000cm?
Find the width and length of the rectangle.
Give your answers in surd form.
[tex]\text{Width} ~= w ~ cm \\\\ \text{Length}~,l = (20+ w) ~ cm \\\\\text{Area of rectangle} = 1000 cm^2\\\\\\\text{Now,}\\\\l \cdot w = 1000\\\\\implies (20 + w) w= 1000\\\\\implies w^2 +20w -1000=0\\\\\\\implies w = \dfrac{-20 \pm \sqrt{20^2 - 4 \cdot 1 \cdot (-1000)}}{2 \cdot 1}\\\\\\\implies w = \dfrac{-20 \pm \sqrt{4400}}{2}= \dfrac{-20\pm 20\sqrt{11}}2 = -10 \pm 10\sqrt{11}\\\\\text{Width cannot be negative so,} \\\\w= -10+10\sqrt{11}=10\left(\sqrt{11} - 1 \right) ~ cm\\\\[/tex]
[tex]\text{And length,}[/tex]
[tex]l= 20+ 10\left(\sqrt{11} - 1} \right) = 20 + 10\sqrt{11} - 10 = 10 + 10\sqrt{11} = 10 \left(1+ \sqrt{11} \right)~ cm[/tex]
How to solve it out?
Step-by-step explanation:
the sum of the interior angles of a polygon (a closed object with n edges) is always (n-2)×180°.
we have here 5 edges, so the sum of all 5 angles is
(5-2)×180 = 3×180 = 540°.
now, let's simply calculate
5x + 2 + 7x - 11 + 13x - 31 + 8x - 19 + 10x - 3 = 540
43x - 62 = 540
43x = 602
x = 14
therefore,
angle S = 13x - 31 = 13×14 - 31 = 182 - 31= 151°
what are the reasons?
Answer:
Step-by-step explanation:
1. ∠WVX , ∠YZX are right angled triangles 1.Given
2. WV ≅ YZ 2. Given
3. X is the midpoint of WY 3. Given
4. WX ≅ YX 4. definition of midpoint
5. ΔWVX ≅ ΔYZX 5. RH congruent
I need help please each number has its own equation number it off please
One side of a regular hexagon ABCDEF forms the side of a regular polygon with n sides.
Angle GAF = 105°. Work out the value of n.
Answer:
n = 8.
Step-by-step explanation:
The interior angle of a regular hexagon = 120 degrees.
So m < GAB = 360 - 120 - 105
= 135 degrees so the regular polygon has a total of 135n degrees.
Using the formula for the sum of interior angles of a polygon,
For the polygon with n sides:
Sum of interior angles = 180(n - 2)
135n = 180(n - 2)
135n = 180n - 360
45n = 360
n = 360/45 = 8.
A card game has 50 cards. After dealing 7 cards to each player, Tupi has 15 cards left over. Solve the equation 50 7p = 15 to find the number of players.
(3+6i)(4-4i) simplify
Answer:
See picture
Step-by-step explanation:
Hope this helps!
Blue10
Brown15
Green5
Red10
Yellow12
The table shows how many of each color candy came out of a bag. What is the probability of choosing a brown candy?
Please I need a Hand
*How much money was in Caroline's account when it was opened? Explain.
*After 2 years, how much money would Caroline have saved? (Hint - convert years to months before solving). To earn full credit, show your work using a method explained in the Orientation.
Answer:
A) $3100
B) $6700
Step-by-step explanation:
A)The first table entry is the value of the opening balance of Caroline's account.
$3100 was in Caroline's account when it was opened.
__
B)After 1 month, the balance in Caroline's account increased by $3250 -3100 = $150. There are 12 months in a year, so after 2 years, Caroline will have made 12×2 = 24 additional deposits of $150. Her account value will be ...
24 × monthly deposit + initial balance
= 24 × $150 + $3100 = $3600 +3100 = $6700
Caroline would have saved $6700 after 2 years.
AYOOOO HELP!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
Value of x= `
4x+5y-6z =2
x= (2-5y+6z) divided by 4
For example : if x is 2.5
2.5 = 2 - 5x2 + 6x3
Graph the line with the slope of -4 and passing through ( 3, 5 ).
Answer:
See graph below of the line y - 5 = - 4 (x - 3) OR y = -4 x + 17Step-by-step explanation:
We can write the equation for such a line using the point-slope form [(y - y₁) = m (x - x₁)] where m = - 4 & (x₁ , y₁) = ( 3, 5 ). We can then find the x and y-intercept. The line we draw through these three points will be the line we are trying to find.
Equation of the Line
y - 5 = - 4 (x - 3)
Finding x and y-intercepts
y-intercept is 'c' when the line is in the slope-intercept form (y = mx + c)
since y - 5 = - 4 (x - 3)
y - 5 = -4 x + 12
y = -4 x + 17
∴ point of the y-intercept is (0, 17)
x-intercept occurs when y = 0
y = -4 x + 17
0 = -4 x + 17
-17 = -4x
x = ¹⁷/₄
∴ point of the x-intercept is (¹⁷/₄, 0)
Graph the line
We can now plug in the points and draw the line.
See the example below.
Note: You only need two points to graph the line. I just did a third as a check.
anyone know this??? please help, help!!! thanks!
Answer:
c. -19
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Given a polynomial in standard form
The leading coefficient is the coefficient of the variable with the largest exponent.
The term with the largest exponent of the variable is
[tex]\frac{1}{4}[/tex] [tex]x^{5}[/tex]
Then the leading coefficient is [tex]\frac{1}{4}[/tex] → A
PLEASE HELP FAST!!!!!
1. Which number has a real component of 16 and an imaginary component of 10?
A: 16 + 10i
B: 10+ 16i
C: 16 - 10i
D: 10 - 16i
Answer:
A: 16 + 10iStep-by-step explanation:
The numbers are in the form of:
a + bi, where a - real component, b - imaginary componentWhen a = 16, b = 10 the number is:
16 + 10iCorrect choice is A
Please help I need the answer quickly.
Answer:
r = ± [tex]\sqrt{q^2-p^4[/tex]
Step-by-step explanation:
p² = [tex]\sqrt{q^2-r^2}[/tex] ( square both sides )
(p² )² = q² - r²
[tex]p^{4}[/tex] = q² - r² ( subtract q² from both sides )
[tex]p^{4}[/tex] - q² = - r² ( multiply through by - 1 )
q² - [tex]p^{4}[/tex] = r² ( take square root of both sides )
± [tex]\sqrt{q^2-p^4}[/tex] = r
Which expression has a value equal to 28 divided by 4
There are 4 options.
7x4
4x28
28/4
4/28
Answer:
28/4
Step-by-step explanation:
the slash is also a division sign.
Answer:
B: 28/4 should be the correct answer, correct me if I'm wrong.
The ratio of dogs to cats is 25:75. How many cats are there if there are 75 dogs?
Answer:
225
Step-by-step explanation:
25:75=75:?
25*3 is 75, so 75*3 is ?
75*3 is 225
Hope this helps!
Let me know if it does
Answer: 225 cats
Step-by-step explanation:
25 dogs x 3: 75 cats x 3
75 dogs: 225 cats
Find the measure of angle b.
51
39
129
141
Answer:
b = 39
Step-by-step explanation:
To complete the full circle would need 360°
So, the equation is:
b + 28 + 293 = 360
b + 321 = 360
b = 360 - 321
b = 39
please help me with this question!!
Answer:
\(x = 1\)
Step-by-step explanation:
Based on the given conditions, formulate: \(x = 12 \div 12\)
Cross out the common factor:\(x = 1\)
Answer: \(x = 1\)
hey ty if you can answer
Answer:
c (I think it is c, but I am not a 100% sure)
Step-by-step explanation:
x and y have to be same
Have a nice day! :-)
Answer:
a. ∞, -∞
Step-by-step explanation:
The line has negative slope, so the sign of the end value of y will be the opposite of the sign of the end value of x.
x → -∞, y → ∞ . . . . . off the top of the graph as x goes to the left
x → ∞, y → -∞ . . . . . . off the bottom of the graph as x goes to the right
The end behavior is summarized as ...
∞, -∞ . . . . . matches choice A
PLS HELP!!
IM GIVING BRAINLIEST!!!
No stealing points, no links, only correct answers!!!!!