Answer:
I got that it was 68.2mm.
Step-by-step explanation:
Option A is correct, the length of the hypotenuse of the triangle is 68.2 mm.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
In a right triangle, the cosine of an angle is defined as the ratio of the adjacent side to the hypotenuse. That is:
cos(θ) = adjacent/hypotenuse
We know that cos(θ) = 0.755 and the length of the adjacent side is 51.5 mm.
Let's denote the length of the hypotenuse by "h".
Then we can solve for "h" as follows:
cos(θ) = adjacent/hypotenuse
0.755 = 51.5/h
h = 51.5/0.755
h = 68.21 mm
Therefore, the length of the hypotenuse of the triangle is approximately 68.2 mm.
To learn more on trigonometry click:
https://brainly.com/question/25122835
#SPJ3
find the surface area
Answer:
aww you had my question opennnn
Step-by-step explanation:
When Theo was born his uncle put $1000 in a college savings account for him, at 4%
interest
- Develop a function to show the amount in the savings account after x years
- How much money will be in the account when Theo is 18 and ready for college?
Answer:
A= P(1+r)^x
$2025
Step-by-step explanation:
Given data
Principal= $1000
Rate= 4%
1. - Develop a function to show the amount in the savings account after x years
Time= x years
The function is
A= P(1+r)^x
2. How much money will be in the account when Theo is 18 and ready for college?
Time= 18 years
A= 1000(1+0.04)^18
A=1000(1.04)^18
A=1000*2.025
A=$2025
Carla and Deserea bought a dozen cookies from the bakery. Carla ate ¼ of the cookies and Deserea ate ½ of the cookies. Who ate the most?
Answer:
Deserea ate more
Step-by-step explanation:
One dozen equals 12
Carla ate 1/4 of it
1/4×12/1=3
Carla ate 3 cookies
Deserea ate 1/2
1/2×12/1=6
Deserea ate 6
6 is greater than 3 so Deserea ate more
4. The dimensions of a rectangle are multiplied by a factor of 2 to form a new rectangle. Which of the following best describes the relationship between the perimeter of the old rectangle and the perimeter of the new rectangle? a. The perimeter of the new rectangle is half the original rectangle. b. The perimeter of the new rectangle is twice the original rectangle. c. The perimeter of the new rectangle is four times the original rectangle.d. The perimeter of the new rectangle is one-fourth the original rectangle.
HELP PLEASE Find the slope of the linear model
Answer:
Take two values
31.5-27/1= 4.5
Hence slope is 4.5x
Which of the relations given by the following sets of ordered pairs is not a function?
HELPPPPP :((((( IF YOU SEND LINK I WILL REPORT YOU
Answer:
Hi, there your answer will be C.
Step-by-step explanation:
The reason why is because X(Input) can not be repeated the same
for example the coordiante( 1,3) and (1,4). See there are two ones which make them not function
Also, if you're having trouble with Functions and nonfunctions
REMEMBER THS
Function: X and y has to be separarte and can't have the same X
NON-FUNCTION- WHEN X REPEATS ITSELF
Hope this helps :)
A taste test asks people from Texas and California which pasta they prefer,
brand A or brand B. This table shows the results.
A person is randomly selected from those tested.
Are being from California and preferring brand B independent events? Why or why not?
Option (C) Yes, they are independent because P(California) is 0.55 and P(California | brand B) is 0.55 is the correct answer.
What is probability?
Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.
For the given situation,
Total number of people in Texas = 275
Total number of people in California = 150
Total number of people in California and preferring brand B = 54
Probability of people in California,
P(California) = Number of people in California / Total number of people
⇒ [tex]\frac{150}{275}[/tex]
⇒ [tex]0.54545[/tex] ≈ [tex]0.55[/tex]
Probability of people in California and preferring brand B
P(California | brand B) = Number of people in California and preferred brand B / Number of people preferred brand B
⇒ [tex]\frac{54}{99}[/tex]
⇒ [tex]0.54545[/tex] ≈ [tex]0.55[/tex]
In the data provided, each event is not dependent on other events.
Thus they are independent events.
Hence we can conclude that option (C) Yes, they are independent because P(California) is 0.55 and P(California | brand B) is 0.55 is the correct answer.
Learn more about probability here
https://brainly.com/question/16465754
#SPJ2
Terrence buys an apartment for 122,000. Five years later he sells the apartment for. 156,000 he had to pay a 5.2% comission fee on the final sale price of the house
Step-by-step explanation:
[tex] \frac{5.2}{100} \times 156000 \\ = 8112commission[/tex]
translate the sentence into an equation.
six more than the product of a number and 3 equals 4
use the variable x for the unknown number.
Answer:
6 + 3x = 4
Step-by-step explanation:
6 + 3x = 4
More means addition: 6 +
Product means multiplication: 3 × x = 3x
Equals means an equal sign: = 4
To solve for x, isolate the variable:
6 + 3x = 4
3x = -2
x = -2/3
how many sides do tahe polygon have?
Triangle - 3 Sides Square - 4 Sides
Pentagon - 5 Sides Hexagon - 6 sides
Heptagon - 7 Sides Octagon - 8 Sides
Nonagon - 9 Sides Decagon - 10 Sides
Answer:
Triangle 3
Quadrilateral 4
Pentagon 5
Hexagon 6
I didn't mean to press that answer but please help.
Answer:
D
Step-by-step explanation:
There are FOUR equal sides so we eliminate some of the shapes that dont have equal sides.
We need a FOUR sided shape so we eliminate all the shapes that DONT have 4 sides.
We are now left with:
Square and rhombus.
(MGSE9-12.G.SRT.8) Find the measure of the angle to the nearest degree. co 19 ? 38 A) 30° B) 27° C) 63° D) 60°
Answer:
b
Step-by-step explanation:
AkkakamakjakakaijJaja
Answer:
B
Step-by-step explanation:
I first combined like terms. next I subtracted the x on the left from both sides. Lastly, I subtracted 3 from both sides. hope this helped!
The ratio of footballs to total pieces of equipment is... and we have 2 baseballs and 6 footballs
Answer:
1:3 ............... ......
Find the circumference of the circle. Use 3.14 for pi. Use the inches squared for the
answer. (circle is 9 inches)
Answer:
the answer is 30.975
Step-by-step explanation:
... i haven't learned this so i cannot give you an explanation. sorry but i hope this helps :))
What is the vertex of the function f(x) = x2 + 12x?
O (-6, -36)
O (-6, 0)
O (6,0)
O (6, -36)
Answer:
A. -6,-36
Step-by-step explanation:
Right on EDG 2021.
The vertex of the function f(x) = x² + 12x is (-6, -36).
What are Quadratic Functions?Quadratic functions are polynomial functions consisting of variables and exponents and the degree of the variable is 2.
The general form of a quadratic function is f(x) = ax² + b x + c.
Given is a quadratic function,
f(x) = x² + 12x
Vertex of a quadratic function of the form f(x) = ax² + bx + c is the point (-b/2a, f(-b/2a))
Here, a = 1, b = 12 and c = 0
-b/2a = -12 / 2 = -6
f(-b/2a) = f(-6)
= (-6)² + (12 × -6)
= 36 - 72
= -36
Hence the vertex of the given function is (-6, -36).
Learn more about Quadratic Functions here :
https://brainly.com/question/11258039
#SPJ7
Shape A can be transformed to shape B by a reflection in the x-axis followed by a translation (c/d). Find the value of c and the value of d
Answer:
[tex]c = -6[/tex]
[tex]d = -1[/tex]
Step-by-step explanation:
Given
See attachment for grid
Required
Find c and d
From the attachment, we have:
[tex]a = (3,5)[/tex] --- Point on A
[tex]a' = (-3,-6)[/tex] --- Corresponding point on B
When A is reflected across the x-axis, the rule is:
[tex](x,y) \to (x,-y)[/tex]
So, we have:
[tex](3,5) \to (3,-5)[/tex]
Next, is to calculate the translation from [tex](3,-5)[/tex] to [tex](-3,-6)[/tex]
This is calculated using:
[tex]3 + c = -3[/tex]
and
[tex]-5 + d = -6[/tex]
So, we have:
[tex]3 + c = -3[/tex]
[tex]c = -3-3[/tex]
---- i.e. Shift by 6 units to the left
[tex]-5 + d = -6[/tex]
[tex]d = 5 - 6[/tex]
[tex]d = -1[/tex] --- i.e. Shift by 1 unit down
Aaron needs to hire a waiter. Waiter A is offering his services for an initial $20 in addition to $4.25 per hour. Waitress B is offering her services for an initial $23 in addition to $3.25 per hour. When will the two waiters charge the same amount of money?
At _ hours, both waiters will charge the same amount, $_.
PLS HELP :) Which expression is equivalent to c+c-10?
2c−10
−8c
c−9
12c
Answer:
2c - 10
Step-by-step explanation:
When you combine the like terms of the expression c+c-10, you get 2c-10.
Therefore, 2c - 10 is equivalent to c + c - 10.
c + c - 10 → 2c - 10.
BRAINLIEST IF CORRECT, NO LINKS OR SPAM ALLOWED
Answer:
b: 100
c:yes
d: younger, more, small/younger
Step-by-step explanation:
Miss David's birthday is in April, and she is going to have a party. She is looking to buy a bag of decorations. Each bag has two different types of decorations: balloons and streamers. The first bag has 11 balloons and 6 streamers. The second bag has 15 balloons and 4 streamers. The last bag has 6 balloons and 12 streamers. Bag 1 costs $91, bag 2 costs $99, and bag 3 costs $102. How much does each type of decoration cost?
Answer:
b = $5
s = $6
Step-by-step explanation:
this can be solved using simultaneous equation
s = streamers
b = balloons
either of the 3 equations can be used to determine the price of the items
11b + 6s = 91 equation 1
15b + 4s = 99 equation 2
multiply equation 1 by 4 and equation 2 by 6
44b + 24s = 364 eqn 3
90b + 24s = 594 eqn 4
subtract equation 3 from 4
230 = 46b
b = 5
substitute for b in eqn 1
55 + 6s = 91
s = 6
help please it would be very much appreciated!!!!!!
thank you
x-7y=4,5x-4y=-11 solve system of equations by substitution
multiply 1st eqn by 5
so it can be canceled and again u get value of y will be 1 and sagain put tha value of y in eqn 1 so that u can get the value of x
Find the function value. f(-2) if f(x) = -x + 31
Answer:
33
Step-by-step explanation:
In f(x) = -x + 31 replace each instance of x with -2:
f(-2) = -(-2) + 31 = 33
Natasha walked from the library to the grocery store then to her house. The diagram shows the top of the locations of these three places and their distances from each other.
Which measurement is closest distance in miles from Natasha’s house to the library?
A. 2.6 mi
B. 1.9 mi
C. 1.4 mi
D. 2.3 mi
PLEASE HELP!!!!
Please just show work on how to solve!
Answer:
(5,7)
Step-by-step explanation:
hello please help i’ll give brainliest
Answer:
b
Step-by-step explanation: it the only one make scence
Answer:
Abiotic would be the correct answer!
Hope this helps!
For each triangle find the missing length. Around your answer to the nearest tenth. Then find the area and the perimeter.
Step-by-step explanation:
I wish I could help but I can't see clearly
which triangles are similar to triangle FDG? Help me asap
Answer:
ECB
Step-by-step explanation:
they are both similar
Help me out please??