sally states that a triangle can only have one obtuse or right angle however a triangle must have at least to acute angles is sally correct explain
Answers
Answer: Yes, Sally is correct.
Step-by-step explanation: Both of Sally's statements are mathematically correct, because to begin with the total of the sum of angles in a triangle is always equal to 180 degrees. An acute angle is less than 90 degrees and that means we can calculate three acute angles from a triangle.
Also an obtuse angle is greater than 90 degrees, but less than 180 degrees. That means, a triangle cannot have more than one obtuse angle. If for instance a triangle has an angle measuring 91 degrees (obtuse angle), then the other two angles will be divided between the remainder which is 89 degrees.
Also a triangle can only have one right angle (which measures 90 degrees). This implies that, in a right angled triangle, there cannot be another 90 degree angle, because that would reduce the shape to two angles only (which is not possible).
A triangle can contain at least two acute angles (and at most three acute angles) and all three angles in either case must add up to 180 degrees.
Please refer to the picture attached for more information.
Answer:
Yes Sally is correct
Step-by-step explanation:
We note that an obtuse angle = Angle larger than 90°
Acute angle = Angle lesser than 90°
Sum of angles in a triangle = 180°
Number of angles in triangle = 3
Therefore, assuming the angles in the triangle are A, B and C where C is obtuse or at least 90°, then we have;
C ≥ 90° therefore taken as obtuse
A + B + C = 180°
A + B = 180° - C
∴ A + B = 180°- (≥90°) = ≤90°
Hence A + B ≤ 90°
Which means A and B are less than 90°, therefore both acute
Therefore, a triangle can have only one angle (C in the above example) greater than or equal to 90° and at least two acute angles A and B in the above example.
Related Questions
An electronic company has 450 employees. The company plans to increase its staff by 30%. How many new employees will the company hire?
Answers
Answer:
135 new employees, 585 total employees
Step-by-step explanation:
Find 30% of 450.
(you can use any variables)
a = p*w
a = .30*450
a = 135
The company will hire 135 new employees, which would be (450 + 135) 585 total employees.
hope this helps :)
135 new employees should be hired by company to increase 30% of the employees.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
The number of employees in electronic company is 450.
The company plans to increase its staff by 30%
We need to find the number of employees to be hired by company.
30% of 450
Thirty percentage of four hundred fifty.
Convert 30% to decimal value by dividing with 100.
30/100=0.3
Now multiply 0.3 with 450
0.3×450
One hundred thirty five.
135
Hence, 135 new employees should be hired by company to increase 30% of the employees.
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A)125
B)130
C)120
D)135
Answers
Answer:
The answer is B.
Step-by-step explanation:
Pentagons have a sum of 540°
540 - (115 + 115 + 90 + 90)
540 - 410
130
Answer:
B)130
Step-by-step explanation:
115+115+90+90=410
pentagon angles add up to 540
410+130=540 degrees
i'll give you the brainliest thingy if you'll help me
Answers
Answer:
[tex]\large \boxed{\text{1. B. $T_{{<6, -2>}}(QRST)$; 2. D. A$'$ (3,9), B$'$(4,0), C$'$(5,5)}}[/tex]
Step-by-step explanation:
1. Translation of Quadrilateral
A translation rule tells you how much to add to the values of x and y.
In your translation, the value of x increases from -5 to +1 — a distance of 6 units.
The value of y decreases from +4 to +2 — a distance of 2 units.
[tex]\text{The translation rule is $\large \boxed{\mathbf{T_\mathbf{{<6, -2>}}(QRST)}}$}[/tex]
2. Translation of triangle
The rule tells you to translate the triangle two units to the left and three units up, as in the second figure below.
A(5,6) ⟶ A'(3,9)
B(6,-3) ⟶ B'(4,0)
C(7,2) ⟶ C'(5,5)
The coordinates of the vertices of ∆A'B'C' are A'(3,9), B'(4,0), C'(5,5).
Factor each trinomial
y2 +13y+40
a
(y+8)(y+5)
(y+20)(y+2)
(y-8)(y-5)
(y-20)(y-2)
Answers
What is 60% of 52? (SHOW WORK)
Answers
Answer:
31.2
Step-by-step explanation:
To work out 60% of 52 you would first need to find 10%. You can do this by dividing 52 by 10, this gives you 5.2.
The final step is to multiply 5.2 by 6, this gives 31.2. This is because in order work out 60% you multiply 10% by 6.
1) Divide 52 by 10.
[tex]52/10=5.2[/tex]
2) Multiply 5.2 by 6.
[tex]5.2*6=31.2[/tex]
Easy question, Easy points LIMTED TIME. LOTS OF POINTS
Topic: Volume
Just need the answer
Answers
Answer:
Volume = PI * r^2 * height
Volume = PI * 3.5^2 * 2
Volume = PI * 12.25 * 2
Volume = 76.969020013 cubic meters
Step-by-step explanation:
Answer:
Volume = 76.969020013 m^3
Step-by-step explanation:
Identify the constant of proportionality
y=2x+2
Answers
Answer:
2 is the constant of proportionality
Step-by-step explanation:
we look at the linear function y = 2x + 2
You ask for the constant of proportionality.
y related to x
y = 2 * (x + 1)
y/(x + 1) = 2
2 is the constant of proportionality
Mr. Jones buy 6 packages of pencils. There are 8 pencils in each package. How many pencils does Mr. Jones buy?
Answers
Answer:
Mr. Jones buys 48 Pencils.
Step-by-step explanation:
6x8=48
Step-by-step explanation:
48 pencils.
If there is 6 packages of pencils, and there is 8 pencils in each, then you multiply 6 x 8 to get 48 pencils.
I hope this helped.
You’ll get a easy 15 points for answering this
Answers
Answer:
$50.73Step-by-step explanation:
NOTE:__________________________________________
applying a sales tax of 8% on an item means multiplying its original price by (1+8%).__________________________________________
The needed amount of money:
29.99×(1+8%)+16.99×(1+8%)
= 29.99×(1+(8÷100))+16.99×(1+(8÷100))
= 50.7384
:)
Two sides of the triangle that form a 90 degree angle are called the
Answers
Answer:
The two sides of the triangle that are by the right angle are called the legs
Step-by-step explanation:
Answer:
Step-by-step explanation:
The two sides of the triangle that are by the right angle are called the legs... and the side opposite of the right angle is called the hypotenuse
Identify the triangle that contains an acute angle for which the sine and cosine ratios are equal.
Triangle A B C has angle measures 50 degrees, 40 degrees, and 90 degrees.
Triangle A B C has angle measures 45 degrees, 45 degrees, 90 degrees. The lengths of sides A C and C B are congruent.
Triangle A B C has angle measures 68 degrees, 22 degrees, and 90 degrees.
Triangle A B C has angle measures 60 degrees, 30 degrees, and 90 degrees.
Answers
Answer:
Step-by-step explanation:
Given that, a series of triangle,
For the sine and cosine to be equal, then,
Sinθ = Cosθ
From, trigonometry identities
Sinθ = Cos(90-θ)
Then,
θ = 90-θ
θ + θ = 90
2θ = 90
θ = 90 / 2
θ = 45°
From the triangle given, using trigonometry ratio,
Sinθ = opposite / hypotenuse.
Sinθ = 20 / 25
Sinθ = 0.8
θ = arcsin(0.8)
θ = 53.13°
The other angles at the triangle is
90-53.13 = 36.87°.
Answer:
b
Step-by-step explanation:
Y=3^x graph and table
Answers
A boy holding a stack of 9 identical books steps on a scale and weighs 138 pounds. The boy then holding a stack of 3 of the same books again steps on the scale and weighs 120 pounds. How much does the boy weigh?
Answers
Answer:
111 pounds
Step-by-step explanation:
A boy holding a stack of 9 identical books steps on a scale and weighs 138 pounds.
If the boy's weight is represented as B and the books are represented as b, this implies that:
B + 9b = 138
The boy then holding a stack of 3 of the same books again steps on the scale and weighs 120 pounds. This implies that:
B + 3b = 120
This has yielded two simultaneous equations:
B + 9b = 138
B + 3b = 120
We can solve by subtracting the second from the first.
B + 9b = 138
- (B + 3b = 120)
-----------------------
=> 6b = 18
b = 18 / 6 = 3 pounds
This means that each book weighs 3 pounds.
Putting b back in the second equation:
B + (3 * 3) = 120
B + 9 = 120
B = 120 - 9
B = 111 pounds
Therefore, the boy weighs 111 pounds.
Answer:
The boy would weigh 111 lbs.
Explanation:
Its complicated
The length of the garden is 11 yards.The width of the garden is 8 yards. Select all of the expressions that chole could use to find the length of the fencing she will need
Answers
Answer:
The length of the fence is 38 yards
These are the expressions
1. Perimeter = 2l+ 2w
2. Perimeter = 2(l+w)
Step-by-step explanation:
This problem bothers on the mensuration of flat shapes, a rectangle.
The length of the fence is the perimeter of the garden which is the expression that Chole could use
1. Perimeter = 2l+ 2w
2. Perimeter = 2(l+w)
Given data
Length = 11 yards
Width = 8 yards
Perimeter = 2(11)+ 2(8)
Perimeter = 22+16
Perimeter = 38 yards
Raven is making pillows. She needs 1/5 yard of fabric for each pillow. If she has 6 yards of fabric, how many pillows can she make
Answers
Answer:
30
Step-by-step explanation:
6 ÷ 1/5 = 6×5 =30
Answer:
30 Pillows
Step-by-step explanation:
If she already has 6 yards of fabric and each pillow needs 1/5 of a yard of each fabric. You just divide.
I NEED HELP NOW!!!!!! Kelly is 6 times as old as Michael and 13 years older than Lucy. The sum of their ages is 91.
How old is each person?
Answers
Answer:
Kelly: 48
Michael: 8
Lucy: 35
Michael: 8
Lucy: 35
2x2x2x2x2x2x2x2x2x2=?
Answers
Answer:
1024
Step-by-step explanation:
calculators are good resources when its math
Please help me now plz
I will mark you brainliest
Answers
Answer:
155.9 = h
Step-by-step explanation:
Since it is an equilateral triangle, the angles are all 60 degrees
Call the angle on the bottom right theta
Theta = 60 degrees
The angle h makes with the base is 90 degrees so it is a right triangle
sin theta = opp/ hyp
sin 60 = h/ 180
Multiply each side by 180
180 sin 60 = h
155.8845727 = h
To the nearest tenth
155.9 = h
What is the LCM of 30 and 35?
Answers
Answer: 210
Explanation: To find the least common multiple for the integers 30 and 35, we start by making a factor tree for each of our integers.
So 30 is 10 · 3 and 10 is 5 · 2.
35 is 7 · 5.
Notice that our 5's match up as factors of each of our integers.
When finding the least common multiple, we simply multiply all of our factors together but since the 5's match up,
we only multiply by a 5 once.
So our least common multiple or LCM is
5 · the 2 that doesn't match up · the 3 that
doesn't match up · the 7 that doesn't match up.
So we have 5 · 2 · 3 · 7 or 210.
Work is shown below.
A student has a one-dollar bill, a five-dollar bill, and a ten-dollar bill in a box. The student selects a bill from the box 45 times and selects the ten dash dollar bill 28 times. What formula should be used to calculate the experimental probability? What is the experimental probability of selecting the ten dash dollar bill? What is the theoretical probability of selecting the ten dash dollar bill?
Answers
Answer:
r / n
62.2%
33.3%
Step-by-step explanation:
The formula to be used is to divide the number of times that it came out by the total number of times the event was repeated because this was the experiment that was carried out, therefore this would be the experimental formula:
r / n
r = specific event (that the 10 dollar bill comes out)
n = total events
To calculate, we know the previous values r = 28 and n = 45, we replace:
28/45 = 0.622
that is, 62.2% is the experimental probability.
To calculate the theoretical propagation, we know that there are 3 types of banknotes and we want 1 of those 3 types to appear, therefore:
1/3 = 0.333
Ie 33.3% is the theoretical probability
Gavin mixes the amount of red from one shade of paint with the amount of yellow from a different shade of paint. He mixes the batch so he will have the greatest possible amount of paint. What amounts of red and yellow from which shades are used in the mixture?
Answers
Answer:It would be 3 1/4 from sunrise, yellow and 5 5/6 red from mango.
Gavin should mix equal amounts of the primary colors red and yellow to achieve the greatest possible amount of orange paint through subtractive color mixing.
Explanation:Gavin is looking to mix paint to create the greatest possible amount of a new paint color. To do this, he should use the primary colors red and yellow to make the secondary color orange. When mixing paints, which is a form of subtractive color mixing, combining these two pigments will result in a new hue without diminishing the amount of paint he has.
In subtractive color mixing, the secondary color orange is created by mixing the primary colors red and yellow in equal proportions. To obtain the largest amount of new paint, Gavin should mix equal parts of the red and yellow shades, assuming that the volumes of paints being mixed are also equal. Thereby, making use of the entire quantity of red and yellow paint to create the largest possible amount of orange paint.
It's important to note that this approach is different from additive color mixing, which involves light colors and operates under a different set of rules. In Gavin's scenario with pigments, red and yellow are the primary colors he should focus on to achieve the desired outcome.
Please help i never learned this
chapter 8 question 6
Answers
Answer:
0.73
Step-by-step explanation:
[tex] \tan \: 36 \degree =0.726542528 \\ \tan \: 36 \degree =0.73 \\ [/tex]
y−4=−2(x+3) Complete the missing value in the solution to the equation (-3, )
Answers
....
Answer:
y=4
Step-by-step explanation:
y-4=-2(x+3)
y-4=-2(-3+3)
y-4=-2.0
y-4=0
y=4
A baseball coach graphs some data and finds the line of best fit. The equation for the line of best fit is y=0.32x-20.51,where x is the number of times a bat and y is the number of hits.
How many hits should he expect from a player who is at bat 175 times?
Answers
We have been given that a baseball coach graphs some data and finds the line of best fit. The equation for the line of best fit is [tex]y=0.32x-20.51[/tex],where x is the number of times at bat and y is the number of hits.
To find the number of hits in 175 times at bats, we will substitute [tex]x=175[/tex] in our given equation as:
[tex]y=0.32(175)-20.51[/tex]
[tex]y=56-20.51[/tex]
[tex]y=35.49[/tex]
Upon rounding to nearest whole number, we will get:
[tex]y\approx 35[/tex]
Therefore, the coach would expect 35 hits from a player who is at bat 175 times.
The expected number of hits = 35.
The given line of best fit is [tex]y=0.32x-20.51.[/tex]
Given that:
x = the number of times a bat = 175.
We have to find y = ?
We plug x = 175 in the given equation.
[tex]y=0.32x-20.51\\y=0.32(175)-20.51\\y=35.49[/tex]
The integer before 35.49 is 35. [Because, number of hits can not be fraction.]
So the expected number of hits = 35.
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is this correct? please answer
Answers
Answer:
Yes, letter D is correct.
Step-by-step explanation:
The shape is a trapezoid so you'll have two congruent pairs of base angles.
Which equation represents the line that passes through
the points (-7, 1) and (5, -5)?
Answers
Answer:
Answer; y= -x/2 -5/2 OR
2y= -x-5 or
2y +x +5 =0
Step-by-step explanation:
To solve this question, you first find the gradient. For this question the gradient is -1/2. After that, you take one of the points and fix it into this equation: y -y^1 = m(x -x^1).
m =gradient or slope of the line.
what is the value of x
Answers
Answer:X. The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try!
PLEASE HELP I DONT UNDERSTAND THIS QUESTION!
Answers
Answer:
I think its D, hope its right
Find the area of the parallelogram. *
Captionless Image
28.12 sq cm
3.9 sq cm
11.3 sq cm
56.24 sq cm
None of the above
Answers
Answer:
28.12 cm^2
Step-by-step explanation:
I don't know what "length" and "bottom" mean as dimensions in a parallelogram, but if they are a side length and an altitude drawn to that side, then the area is 7.6 cm * 3.7 cm = 28.12 cm^2.
what is the value of x (12x+2)
Answers
Answer:
12x^2 +2x
Step-by-step explanation:
x* (12x+2)
Distribute
12x*x +2*x
12x^2 +2x