4. A triangle has a 90° angle and two sides that measure 5 cm in length. Which statements are true about this triangle? Select all that apply. A. The triangle must be an isosceles triangle. B. The triangle must be an equilateral triangle. C. The triangle must be a right triangle. D. The triangle must be an acute triangle. E. The triangle must contain an angle measuring 45° F. The third side of the triangle might be 10 cm in length.
The triangle is an isosceles right triangle, and the true statements about the triangle are
The triangle must be an isosceles triangle. The triangle must be a right triangle. The triangle must contain an angle measuring 45°How to determine the true statements?The given parameters are:
Angle = 90 degrees
Two side lengths = 5 cm
Given that one of the angles is 90 degrees, then it means that the triangle is a right triangle.
Also since two sides are equal, then the triangle is an isosceles triangle, and the other angles are 45 degrees each
Hence, the true statements about the triangle are (a), (c) and (e)
Read more about isosceles right triangles at:
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Find the area and perimeter of a rectangle that has a length of (x + 24) and (x + 16). Show all work for full credit.
Answer:
Perimeter of rectangle = 4x + 80
Area = x² + 40x + 384
Step-by-step explanation:
Perimeter of rectangle = 2*(length + width)
= 2* (x + 24 + x + 16)
= 2*( x +x + 24 + 16) {Combine like terms}
= 2* (2x + 40)
Use Distributive property : a*(b +c) = a *b + a*c
= 2*2x + 2*40
= 4x + 80
Area of rectangle = length * width
= (x + 24) (x + 16) {use FOIL method}
= x*x + x*16 + 24*x + 24*16
= x² + 16x + 24x + 384 {Combine like terms}
= x² + 40x + 384
You started watching a movie at 11:38 PM. The movie was 1 hour and 37 minutes. What time did your movie end?
Answer:
1:15am
Step-by-step explanation:
Determine the type of triangle that is drawn below.
Answer: Isosceles acute
Step-by-step explanation:
A acute triangle has all angles less than 90 degrees. An isosceles triangle have 2 equal sides
HELP ASAP
Are 2^3 x 2^6 and (2^3)^6 are the same or different? Why?
The line plots below show the numbers of hours for the 12 students in each class.
The distance between the means of Class A and Class B is 4 hours.
Find the mean absolute deviation (MAD) for each class.
Answer:
for class A
mean ={3+4+8(5)+6+7)/12}=5hours
mean absolute deviation (MAD) for A
=[|5-3|+|5-4|+8|5-5|+|5-6|+|5-7|]/12=6/12=1/2
for class B
mean =4 hours given
mean absolute deviation (MAD) for B
=[|4-7|+|4-8|+8|4-9|+|4-10|+|4-11|]/12=60/12=5
Answer:
See belowStep-by-step explanation:
class-1:we are given some data 3,4,5,5,5,5,5,5,5,5,6,7
we want to figure out the MAD (Mean absolute deviation) of the given database
remember that,
[tex] \rm\displaystyle \: MAD = \frac{1}{n} \sum_{i = 1} ^{n} |x_{i} - m(x)| [/tex]
where m(X) represents the mean of the given database and [tex]|x_{i}-m(X)|[/tex] tells us to subtract every data with the got mean and n represents the number of data
let figure out m(X)
[tex] \rm\displaystyle \: m(x) = \frac{3 + 4 + 5(8) + 6 + 7 }{12} [/tex]
simplify multiplication:
[tex] \rm\displaystyle \: m(x) = \frac{3 + 4 + 40 + 6 + 7 }{12} [/tex]
simplify addition:
[tex] \rm\displaystyle \: m(x) = \frac{60}{12} [/tex]
simplify substraction:
[tex] \rm\displaystyle \: m(x) = 5[/tex]
let's figure out [tex]\sum[/tex] and [tex]|x_i-m(X)|[/tex]
[tex] \displaystyle\begin{array} {|c |c| } \hline |x_{i} - m(x) | & \displaystyle\sum_{i = 1} ^{n} |x_{i} - m(x) | \\ \hline |3 - 5 | & 2 \\ \hline | 4 - 5 | &1 \\ \hline |5(8) - 5(8)| &0 \\ \hline |6 - 5|&1 \\ \hline |7 - 5| &2 \\ \hline \\ \text{total} & 5 \\ \hline\end{array}[/tex]
last part let's figure out MAD
[tex] \displaystyle \: MAD = \frac{5}{12} [/tex]
simplify division:
[tex] \displaystyle \: MAD = 0.42[/tex]
Class-2:likewise class-2
given database 7,8,9,9,9,9,9,9,9,9,10,11
figure out m(X)
[tex] \rm\displaystyle \: m(x )= \frac{7 + 8 + 9(8) + 10 + 11}{12} [/tex]
simplify multiplication:
[tex] \rm\displaystyle \: m(x )= \frac{7 + 8 + 72 + 10 + 11}{12} [/tex]
simplify addition:
[tex] \rm\displaystyle \: m(x )= \frac{108}{12} [/tex]
simplify division:
[tex] \rm\displaystyle \: m(x )= 9[/tex]
likewise
figure out [tex]\sum[/tex] and [tex]|x_i-m(X)|[/tex]
[tex] \displaystyle\begin{array} {|c |c| } \hline |x_{i} - m(x) | & \displaystyle\sum_{i = 1} ^{n} |x_{i} - m(x) | \\ \hline |7 - 9 | & 2 \\ \hline | 8- 9 | &1 \\ \hline |9(8) - 9(8)| &0 \\ \hline |10 - 9|&1 \\ \hline |11- 9| &2 \\ \hline \\ \text{total} & 5 \\ \hline\end{array}[/tex]
figure out MAD
[tex] \displaystyle \: MAD = \frac{5}{12} [/tex]
simplify division:
[tex] \displaystyle \: MAD = 0.42[/tex]
How do I find the geometric mean of 275 and 11??
Answer:
The geometric mean of x=275 and y=11 is 55
Step-by-step explanation:
The measure of angle R is 129 degrees,
What is the measure of angle S?
Answer:51
Step-by-step explanation:
Jeffrey has a wooden board that is 2/3 yards long. He wants to cut the board into pieces that are 1/9 yards long. How many pieces can he cut?
Answer: 6 boards
Step-by-step explanation: If you convert 2/3 into ninths by multiplying by 3/3 you will get 6/9. You can then easily see that 6/9 has 6 individual 9ths or 6 boards to cut.
Solve for x
8x + 207
= 6x + 185
Answer:
The answer is x = -11
Answer:
8x+207=6x+185
8x-6x=185-207
2x=-22
divide by 2
x=-11
i need help! find the area of the composite figure. if anyone can help i will really appreciate it. thanks! :)
Answer:
area = 120.7 cm²
Step-by-step explanation:
net area = area of rectangle - area of semi-circle
area = (19 x 7.5) - 1/2(3.14)(4.5²)
area = 152.5 - 31.8 = 120.7 cm²
Find the 11th term in the geometric sequence: 4, 6, 9,....
Answer:
A11 = 230.66015625
Step-by-step explanation:
hi!
the first thing that you have to do when solving for the 11th term in a geometric sequence is to find the common ratio!
I did this by dividing 6/4 = 3/2 (I did multiply this by 6 to test if it was correct, and it was)
the next thing you can do is use this formula:
An = A1*r^(n-1)
An = the nth term of the sequence
A1 = the first term in the sequence
r = common ratio
n = the number of term that you are solving for
A11 = 4*(3/2)^(11-1)
A11 = 4*(3/2)^10
A11 = 230.66015625
Molly is baking for the Moms and Muffins event at her school. she will bake 4 batches of banana muffins. she needs 1-3/4 cups of bananas for each batch of muffins.
PART A
Molly completed the mutiplication below and said she needed 8 cups of bananas for 4 batches of muffins. What is mollys error? Mutiplacation problem----{4x 1-3/4=4x8/4=32/4=8}------
PART B
what is the correct number of cups molly needs for 4 batches of muffins? explain your answer.
Find the hcf of 27 and 36
Answer:
9
Step-by-step explanation:
The clock below shows the time ( 9:00 ) that Candace leaves for a bicycle ride. She rides for 1/2 hour.
Through how many degrees does the minute hand turn while Candace is on her ride?
Ravi wants to paint the ceiling of his restaurant. The ceiling is in the shape of a square. Its side lengths are 52 feet. Suppose each can of paint will cover
208 square feet. How many cans will he need to paint the ceiling?
Answer:
13 Cans
Step-by-step explanation:
If the lengths of the ceiling are 52 feet, the area would be 2704 square ft. 2704÷208=13
Solve for e. 0.75(8+e)=2−1.25e0, point, 75, left parenthesis, 8, plus, e, right parenthesis, equals, 2, minus, 1, point, 25, e
e
=
Answer:Sep 7, 2011 — (a) For x = 1 the left-hand side is 4 and the right-hand side is 2. ... (e) The inequality is equivalent to n 2 n +4 2 0, i.e. n 2 2n 8 n +4 0, or 3n 10 ... (a) Cancel the factor 25ab. ... (d) Expanding the parentheses we get p ... The set of points that satisfy the inequality 3x + 4y 12 are those on or below the straight line
Step-by-step explanation:
Hope it helps
if the difference (3x2 - 2x + 5) – (x2 + 3x - 2) is multiplied by 1/2x^2,
what is the result, written in standard form?
The result of the given equation [tex](3x^2 - 2^x + 5) -(x^2 + 3x - 2)\\[/tex] is [tex]4x^4-10x^3 + 14x^2[/tex]
What is cubic polynomial ?"Cubic polynomial is a type of polynomial based on the degree i.e. the highest exponent of the variable. Hence, a cubic polynomial is a polynomial with the highest power of the variable or degree is 3. A polynomial is an algebraic expression with variables and constants with exponents as whole numbers"
"The general form of a cubic polynomial is p(x): ax3 + bx2 + cx + d, a ≠ 0, where a, b, and c are coefficients and d is the constant with all of them being real numbers. An equation involving a cubic polynomial is called a cubic equation. "
The given equation is given as[tex](3x^2 - 2^x + 5) - (x^2 + 3^x - 2)[/tex]
Solving it ,we get [tex]2x^2 - 5x +7[/tex]
Now multiplying it by [tex]1/2x^2[/tex] gives us [tex]4x^4-10x^3 + 14x^2[/tex]
Hence the answer is [tex]4x^4-10x^3 + 14x^2[/tex]
To know more about cubic polynomial here
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which answer choice ?
What is the answer for this
Answer: 4units^2
Step-by-step explanation:
B*H/2
4*2/2= 4
So 4units^2 is the area
Answer:
4 unit²
Step-by-step explanation:
Here,
base = 2
height = 4
Area of the triangle = 1/2 x base x height
= 1/2 x 2 x 4
= 4 unit²
cuál es la raíz cuadrada de 160?
Se trata de 12.6. Espero que esto haya ayudado!
Simplify *show work!!*
(X^6)^1/2
Answer:
[tex]x^{3}[/tex]
Step-by-step explanation:
in powers:
when there is x to the power of 6 to the power of 6 as an example you should multiply 6x6=36
so in this one try to do it like the one up there
6*[tex]\frac{1}{2}[/tex]=3 so it is [tex]x^{3}[/tex]
Hina is converting £270 into S. She knows that £1 = €1.11 and €1 = $1.21. How many S will
Hina get? Give your answer to 2 dp
HELP PLEASE
Answer:
$362.64
Step-by-step explanation:
Assuming that "S" represents the money in U.S. dollars, we are given the starting amount as 270 pounds.
We first need to convert the pounds into euros, since £1 = €1.11
So all we have to do is £270 × €1.11 = €299.70
Then, we need to convert euros into dollars, since €1 = $1.21
So all we have to do here is €299.70 × $1.21 = $362.637
Which rounds to $362.64
50 meters to 20 meters
Increase or decrease?
Answer:
Decrease
Step-by-step explanation:
50 is bigger than 20, so it's decreasing and the units are the same.
What is 9 inches converted to feet as a fraction?
Answer:0.75
Step-by-step explanation:
Answer: 3/4
Step-by-step explanation:
9 inches to feet is 0.75
0.75 as a fraction is 3/4
1. Consider the circle to the right,
Part A: Determine mzSBE.
Part B: Determine mob.
S
52
B
Answer:
m∠SBE = 26°, [tex]m\hat O B[/tex] = 126°
Step-by-step explanation:
The arc of a circle is a portion of the circumference of the circle. For a circle, the degree measure of an arc is equal to the measure of the central angle that intercepts the arc.
Central angle is an angle whose vertex is on the center of the circle and endpoints on the circumference of the circle. If the endpoints of the central angle are are also the endpoints for the angle's intercepted arc, then both angles are congruent.
Also, the angle at the center is twice the angle at the circumference.
Angle at center = [tex]m\hat S E[/tex] = 52° (central angle is congruent with angle that intercept the arc)
2 * m∠SBE = central angle (angle at the center is twice the angle at the circumference)
2 * m∠SBE = 52
m∠SBE = 26°
2 * m∠BEO = central angle (angle at the center is twice the angle at the circumference)
2 * 63 = central angle
central angle = 126°
Angle at center = [tex]m\hat O B[/tex] = 126° (central angle is congruent with angle that intercept the arc)
PLEASE HELP DUE AT MIDNIGHT
Answer:
D
Step-by-step explanation:
180-43=137
Answer:
180 - (43 + 56) = 81 (angle 1)
180 - 81 = 99 (angle 2)
180 - 56 = 124 (angle 3)
180 - 43 = 137 (angle 4)
Step-by-step explanation:
Una caja contiene lápices azules y rojos. ¿Cómo se interpreta que la razón entre los lápices azules y los rojos en la caja sea
Pregunta completa:
Una caja contiene lápices azules y rojos. ¿Cómo se interpreta que la relación entre
los lápices azul y rojo en la caja es 3: 1?
A Hay tres lápices rojos y un lápiz azul.
B Hay tres lápices azules y un lápiz rojo.
C Hay tres veces más lápices rojos que azules.
D Hay tres veces más lápices azules que rojos.
Responder:
B Hay tres lápices azules y un lápiz rojo.
Explicación paso a paso:
Si se le da eso; La relación entre los lápices azul y rojo es de 3: 1
El primer número en la expresión de razón representa el color del lápiz indicado primero en la expresión
Por lo tanto ;
Lápiz de color azul = 3
Lápiz de color rojo = 1
Por lo tanto, hay tres lápices azules y un lápiz rojo.
Farah harvests 20 pounds of tomatoes from her garden. She needs 4 4/5 pounds to make a batch of soup. Additionally, if she uses 5.6 pounds of tomatoes to make spaghetti sauce, how many batches of soup can Farah make?
Answer:
1 batch
Step-by-step explanation:
Farah needs 4 and 4/5 pounds of tomatoes & and additional 5 and 3/5 pounds of tomatoes to make soup.
4.8 + 5.6 = 10.5 pounds per soup
10.5*2 = 21 > 20 pounds
Farah would need one more pound of tomatoes in order to make 2 batches of soup. Therefore she can only make 1 batch.
Helppppp I’m literally so confused this makes no sense
Answer:
#1: Alternet Exterior
#2: Corresponding
#3:Same Side Interior
#4:Alternate Interior
Step-by-step explanation:
(The Blue box in the image represent the inside/interior)
Hopefully the image helps!