Answer:
A. Acute
Step-by-step explanation:
To start, determine whether you can form a triangle or not. In any triangle, the sum of any two sides must be greater than the third side. In this case, this holds true and we can definitely form a triangle.
Let [tex]c[/tex] be the longest side of the triangle and let [tex]a[/tex] and [tex]b[/tex] be the other two sides.
If [tex]a^2+b^2>c^2[/tex], the triangle is acute.
If [tex]a^2+b^2=c^2[/tex], the triangle is right.
If [tex]a^2+b^2<c^2[/tex], the triangle is obtuse.
Substituting given information:
[tex]7^2+9^2>11^2[/tex], therefore the triangle is acute.
30 ≥ 5(6n) Choose the correct answer. n ≤ 2 or
n ≤ 1
Answer:
1 ≥ n
Step-by-step explanation:
30 ≥ 5(6n)
Distribute
30 ≥ 30n
Divide each side by 30
30/30 ≥ 30n/30
1 ≥ n
30 >= 5(6n)
Divide both sides. Y 5:
6 >= 6n
Divide both sides by 6:
1 >= n
Rewrite as: n ≤ 1
The Hernandez family budget is shown in the graph.
A circle graph titled Family Budget. Housing is 23 percent, Food is 21 percent, Savings is 10 percent, Transportation is 16 percent, medical is 12 percent, clothing is 13 percent, emergency fund is 5 percent.
Which 3 categories make up more than half of the Hernandez family budget? Select two choices..
clothing, medical, and emergency fund
clothing, housing, and savings
housing, savings, and food
housing, food, and transportation
food, transportation, and emergency fund
Answer:
c and d
Step-by-step explanation:
c) Housing, savings and food = 54%
d) Housing, food and transportation = 60%
Answer:
c and d
Step-by-step explanation:
Sofia works at Cowboy Corner. She receives 10% commission on all of the cowboy hats she sells in a month. If Sofia sells $545 in total sales, what is her commission? (include steps or explanation in ur answer)
Answer:
$54.50
Step-by-step explanation:
10% = 10/100
=545 × 10/100
=5450/100
=54.5
In this formula,C represents the total charge for babysitting and represents the number of hours the child is kept. How much should Joe pay if his child is at the babysitting service for 3 hours?
C= $5:25 + $2:50H
Answer:
huh
Step-by-step explanation:
plz help asap. i beg
The answer is -15.
Because others are rational numbers but not integers.
-15 is the only rational number and integer.
Sabiendo que la tangente son 4/3 dime el cos y sen estando el angulo en el tercer cuadrante de la circunferencia
Answer:
sen α = - 4/5
cos α = - 3/5
Step-by-step explanation:
tang α = 4/3
De la relación fundamental de la trigonometría sabemos:
sen² α + cos²α = 1
Dividiendo la ecuación anterior por cos² α
sen²α/cos²α + cos²α / cos²α = 1 / cos² α
tang²α + 1 = 1/ cos² α
(4/3)² + 1 = 1/ cos² α ⇒ 16/9 + 1 = 1/ cos² α
1/ cos² α = ( 16 + 9 ) / 9
1/ cos² α = 25/9
cos² α = 9/25
cos α = 3/5
y para calcular el sen α
sen² α = 1 - cos²α
sen² α = 1 - 9/25
sen² α = ( 25 - 9 )/ 25
sen² α = 16/25
sen α = 4 / 5
Ahora bien el angulo α está en el tercer cuadrante, en ese cuadrante tanto el seno como el coseno son negativos.
Respuesta:
sen α = - 4/5
cos α = - 3/5
how do i solve this ?? please explain it to me
Answer:
the first thing that you need to know you need to know you invoice and then you will know how to calculate your equation
What is the Tenth term of 3n+2
The school band has a goal of raising $800 for some new uniforms. If they have raised $512 so far, what percent of their goal have they raised?
Answer:
64%
Step-by-step explanation:
Is this statement true or false?
It is a good idea to check the car history using an online site.
O true
O false
The stemplot below displays the arm spans, in centimeters, for 20 students.
A stemplot titled arm span (centimeters) has values 153, 155, 156, 160, 162, 162, 162, 163, 163, 165, 166, 167, 170, 173, 180, 181, 182, 189, 192, 202.
Identify the outliers, if they exist.
Answer:
189 and 202
Step-by-step explanation:
An outlier is a value that will have an effect on the mean of a set of values. It has an obvious difference compared to other values. They can be easily determined in a set of given data by mere observation.
From the given data in the question, it would be observed that the chronological difference among set of the data is either 1, 2, 3 or 4. But the two numbers that could be referred to as outliers are 189 and 202. This is because the have a wider range than others.
Answer:
Here are the answer choices you forgot:
There are no outliers.
153
202
192, 202
-----------
C & D are incorrect.
I think it is A : no outliers.
John has 8 cards that spell the word H O M E W O R K. She shuffles them and then places them face down. Assume she returns the card on each occasion.
b) What is the probability she will choose a consonant?
Answer:
The probability that I will choose a consonant is 62.50%.
Step-by-step explanation:
Given that John has 8 cards that spell the word H O M E W O R K, and he shuffles them and then places them face down, to determine what is the probability he will choose a consonant the following calculation must be performed:
Vowels: 3
Consonants: 5
5/8 = X
0.625 = X
0.625 x 100 = 62.50
Therefore, the probability that I will choose a consonant is 62.50%.
Find the degree of the polynomial function y=(x-5)(x+5)
Answer:
Step-by-step explanation:
y = (x + 5)(x - 5)
= x² - 5²
= x² - 25
Degree of this polynomial is 2.
Highest power of the variable x will be the degree of the polynomial.
The outer and inner diameters of a circular ring are
34 cm and 32 cm, respectively. Then, find the area of ring
Answer:
103.686cm^2
Step-by-step explanation:
Given data
Outer diameter= 34cm
Outer Radius= 34/2= 17cm
Area= πr^2
Area of outer ring= 3.142*17^2
Area of outer ring= 3.142*289
Area of outer ring= 908.038cm^2
inner diameter= 32cm
inner Radius= 32/2= 16cm
Area= πr^2
Area of outer ring= 3.142*16^2
Area of outer ring= 3.142*256
Area of outer ring= 804.352cm^2
Hence the radius of the ring is
=Area of outer - Area of inner
=908.038-804.352
=103.686cm^2
What is sin 45°? O A. 1/2 12 1 OB. NI O C. 1 O D. O E. 1 3 O F. 13 ap.ex
1/√2
Step-by-step explanation:
Imagine a right-angled triangle, for e.g. Triangle ABC,
Where
B = 90°
Remember your Toa Cah Soh.
sin 45° = opposite / hypotenuse
If theta = 45°
Angles A and C = 45° (Sum of angles in a triangle equal = 180°)
Since theta are the same, we can also deduce that the length AB and BC are the same.
Take for example AB = BC = 1 = opposite
By the Pythagorean theorem,
AB² + BC² = AC²
1² + 1² = AC²
2 = AC²
AC = √2 = hypotenuse
Therefore:
sin 45° = opposite / hypotenuse
sin 45° = 1/√2
Ravi bought 3 pens and 4 notebooks for $28. Lola bought 4 pens and 8
notebooks at the same store for $52. How much does one notebook cost?
Answer:
5.50 Each
Step-by-step explanation:
Answer:
Step-by-step explanation:
3P + 4N = 28
6P+ 8N = 56
4P +8N 52
2P = 4
P = 4/2 = 2 = $2
3(2)+4N = 28
4N = 28-6=22
N = 22/4 = 5.5= $5.50= cost of one notebook
Please answer with work shown (only if possible)
Answer:
103.2 km
Step-by-step explanation:
Hi there!
1) Draw a diagram
Please see the picture below.
2) Solve for the length of the diagonal
Because Jacob's path creates a right triangle, we can use the Pythagorean theorem: [tex]a^2+b^2=c^2[/tex] where c is the side opposite the right angle and a and b are the other sides
Plug in the known information
[tex]64^2+81^2=c^2\\64^2+81^2=c^2\\10657=c^2[/tex]
Take the square root of both sides to isolate c
[tex]10657=c^2\\103.2=c[/tex]
I hope this helps!
the diameter of a circle is 12 centimeters. What is the circumference?
Answer:
the circumference is 37.7 cm
Answer:
circumference = 37.7
Step-by-step explanation:
in the photo I explained the formula of how to find the circumference
Which sign makes the statement true?
9
No
12
12
<
=
Answer:
12=12Step-by-step explanation:
#hopeithelpsstay safe and keep wellmark me as brain liest plswhat is the gradient of the graph shown below. Give answer in simplest form
Answer:
slope = 3/1
Step-by-step explanation:
select two clear-cut points, i used (1,2 and (2,5)
use slope formula which is the difference of the y-values over the difference of the x-values to get:
(5-2) / (2-1) = 3/1
slope = 3/1 or 3
Check:
to get from point (1,2) to (2,5) you rise by 3 and go over to the right by one unit
Answer:
3
Step-by-step explanation:
Which linear function has the steepest slope?
Answer:
the graph... it's slope is |2| and the chart is |1|
the absolute values are there because the questions only says "how steep"
not the direction
Step-by-step explanation:
Ariana spent a quarter of her allowance on sweets and she put one third of the remainder in her piggy bank. If she had twenty dollars left, what was her allowance
Answer:
$40
Step-by-step explanation:
Ariana spent a quarter of her allowance
1 - 1/4 = 3/4 was left
put one third of the remainder in her piggy bank
1/3 * 3/4 = 1/4
She spent 1/4 and piggy banked 1/4
so the $20 she had left was half her allowance.
allowance was $40
Ariana gets a very large allowance!
At the store for every 6 books sold there were 5 movies sold. What is the ratio of books sold to movies sold?
Answer:
6,5
Step-by-step explanation:
6 + 5 = 11
6 to 5
6,5
WILL MARK BRAINLEIST!!
Answer:
x = 12.26
Step-by-step explanation:
sin = opp/hyp
sin 50 = x/16
multiply both sides by 16
16 * sin50 = x
Use calculator
x = 12.256711089903649
Rounded
x = 12.26
The answer is:
12.26
you multiply both sides
Find the value of x.
Answer:
100
Step-by-step explanation:
The two angles form a straight line which is 180 degrees
5+x +75 = 180
Combine like terms
x+80 = 180
Subtract 80 from each side
x +80-80=180-80
x = 100
Answer:
x=100°
Step-by-step explanation:
(5+x)°+75°=180°(being a straight line)
x=100°
A line has equation y= −2/3 x-4.Write down the y-intercept of the line.
1) Select the linear function that is perpendicular to the following: y = 4x + 12
Answer:
Step-by-step explanation:
slope of line y=4x+12 is 4
slope of line perpendicular to y=4x+12 is -1/4
eq. of perpendicular line or perpendicular linear function is y=-1/4x+b where b is the y-intercept.
What is the value of xin this triangle?
Enter your answer as a decimal. Round only your final answer to the
nearest hundredth.
32 58
Answer:
33.48
Step-by-step explanation:
Find the diagram attached
Opposite = 32
Hypotnuse = 58
Sin theta = opposite/hypotenuse
Sin theta = 32/58
Sin theta = 0.5517
theta = arcsin(0.5517)
theta = 33.48
Hence the value of x to the nearest tenth is 33.48
Lena rolled two number cubes and recorded the results. What is the experimental probability that the sum of the next two numbers rolled is greater than 5? Please help
Given:
Lena rolled two number cubes and recorded the results.
To find:
The experimental probability that the sum of the next two numbers rolled is greater than 5.
Solution:
If two number cubes rolled, then the total possible outcomes are:
(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (21,1), (2,2), (2,3), (2,4), (2,5), (2,6),
(3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6),
(5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)
Total number of possible outcomes = 36
The possible cases in which the sum is less than or equal to 5 are (1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (3,1), (3,2), (4,1).
In 10 cases the sum is less than or equal to 5. So, the number of cases in which the sum is greater than 5 is:
[tex]36-10=26[/tex]
So, the number of favorable outcomes = 26.
Now, the experimental probability that the sum of the next two numbers rolled is greater than 5 is:
[tex]P=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
[tex]P=\dfrac{26}{36}[/tex]
[tex]P=\dfrac{13}{18}[/tex]
Therefore, the required probability is [tex]\dfrac{13}{18}[/tex].
13. Find the vertex of f(x)=x2 -6x +8 .
a
(3,-1)
b
(-3, 1)
c
(-3,-1)
d
(3, 1)
9514 1404 393
Answer:
a (3,-1)
Step-by-step explanation:
The number that "completes the square" is the square of half the x-coefficient, (-6/2)^2 = 9. Rearranging the given function to include the square trinomial, we have ...
f(x) = x^2 -6x +9 -1 . . . . . . . here, we have 8 = 9 - 1
f(x) = (x -3)^2 -1 . . . . . . . . . . vertex form
Comparing this to the generic vertex form ...
f(x) = (x -h)^2 +k . . . . . . . vertex at (h, k)
we see that h=3 and k=-1.
The vertex is (h, k) = (3, -1).
