Are the two triangles similar? Explain your answer.
Answer:
i think the triangles are similiar because its the same shape. It also has the same degrees but different letters !! Hope this helps.
Answer:
yes it is, but the only difference is the size
Step-by-step explanation:
3 classes have 29 students each 2 classes have 28 students each how many zoo maps does keeper Christina need for all the students
Answer:
I think it might be 143 I could be wrong tho.
9514 1404 393
Answer:
143 maps
Step-by-step explanation:
The total number of students is ...
3×29 + 2×28 = 87 +56 = 143
If each student gets a map, the number of maps needed is 143.
_____
Additional comment
You might be able to figure this in your head as ...
3×29 +2×28 = 3×(28+1) +2×28 = 5×28 +3 = 140 +3 = 143
Or as ...
3(30 -1) +2(30 -2) = 5(30) -3 -4 = 150 -7 = 143
John is 4 feet 8 inches tall. His older brother, Mark, is 6 feet 4 inches tall.
How much taller is Mark than John?
Answer:
6'4"=76"
4'8"=56"
76-56=20
20"=1'8"
Mark is 1.66663 feet taller than John.
What is Unit conversion?The same attribute is expressed using a unit conversion, but in a different unit of measurement.
For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometres, feet, or any other measurement unit instead of miles.
Given:
John is 4 feet 8 inches tall.
= 4+ 8(0.0833333)
= 4+ 0.666667
= 4.6666667 feet
Mark, is 6 feet 4 inches tall
= 6 + 4 (0.0833333)
= 6+ 0.33333
= 6.3333 feet
So, Mark is = 6.33333- 4.66667 = 1.66663 feet taller
Hence, Mark is 1.66663 feet taller than John.
Learn more about Unit conversion here:
https://brainly.com/question/19420601
#SPJ2
Angles of Triangles Scavenger Hunt Answer Key
HELP ME PLEASEEEEEEEEEEEEEEEEEEE
Answer:
heyy matee...
see
Vertices (V) = 8
Faces (F) = 6
Edges (E) => F + V - E = 2 (EULER'S FORMULA)
so 6 + 8 - 2 = E => E = 12
now just look at options
and however its a common thing that if Vertices are 8 and Faces are 6 and Edges are 12 then it is cube or cuboid
and another name of cuboid is rectangular prism ;)
hence answer is option c - rectangular prism
brainliest possible ?
4. Triangle Relationships- Interior and Exterior Angles
Find the measure of angle 1 and angle 2. Be sure to show all work related to each answer.
S
a. m21
42°
1/2
30°
M
b. M22
A
Answer:
Value of ∠1 = 102°
Value of ∠1 = 72°
Step-by-step explanation:
Given:
∠ S = 42°
∠ A = 30°
Find:
Value of ∠1
Value of ∠2
Computation:
Using angle sum property;
Sum of all interior angle of a triangle = 180°
∠ S + ∠ A + ∠ 1 = 180
42 + 30 + ∠ 1 = 180
72 + ∠ 1 = 180
∠ 1 = 180 - 72
∠ 1 = 102
Value of ∠1 = 102°
∠ 1 and ∠ 2 makes a straight line
So,
∠ 1 + ∠ 2 = 180
102 + ∠ 2 = 180
∠ 2 = 180 - 102
∠ 2 = 72
Value of ∠1 = 72°
The Unit Circle
What is the domain of a cosine function?
a. irrational numbers
b. All real numbers
c. rational numbers
d. positive integers
Please select the best answer from the choices provided
Answer:
B. All real numbers
Step-by-step explanation:
I calculated it logically
Answer:
B) All real numbers
The graph of the cosine function looks like this: The domain of the function y=cos(x) is all real numbers (cosine is defined for any angle measure), the range is −1≤y≤1 .
Which of the following expressions can be set
equal to 2.74x - 7.9 to form an equation that
has no solution?
A 2.74x - 7.9
B 7.9x - 7.9
C 2.74x + 7.9
D 7.9x + 2.74
Given:
The expression is:
[tex]2.74x-7.9[/tex]
To find:
The expressions that can be set equal to the given expression to form an equation that has no solution.
Solution:
We have,
[tex]2.74x-7.9[/tex] ...(i)
An expression whose constant term is different from the given expression but the variable term is same as the given expression, i.e., 2.74, is the required expression.
The expression with same variable term and different constant term is:
[tex]2.74x+7.9[/tex] ...(ii)
Because on equating (i) and (ii), we get
[tex]2.74x-7.9=2.74x+7.9[/tex]
[tex]-7.9=7.9[/tex]
This statement is false for any value of x. So, the equation [tex]2.74x-7.9=2.74x+7.9[/tex] has no solution.
Therefore, the correct option is C.
A manufacturer has 5,634 pens to divide into packs of 4 pens. The manufacturer makes as many packs as possible.
How many packs of pens does the manufacturer make, and how many pens are left over?
Answer:
1408 packs
2 pens left over
Step-by-step explanation:
5634 / 4 = 1,408.5
half a pack is 2 pens
1408 packs
2 pens left over
Enter "y" or "n" to tell which value of x that make each equation or inequality true.
Answer:
First row (2x + 5 = 9) is N Y N
Second row (2x + 5 < 9) is Y N Y
Third Row (2x+ 5 _< 9) is N Y Y
I need help Asap , please.
LOL LOL LOL LOL LOL LOL LOl LOL
Find the measure of HJK
Answer:
m<HJK = 40°
Step-by-step explanation:
Given:
m<HJK = 3x - 2
m<KJL = 50°
Required:
m<HJK
Solution:
m<HJK + m<KJL = 90° (complementary angle)
Substitute
3x - 2 + 50 = 90
Add like terms
3x + 48 = 90
3x + 48 - 48 = 90 - 48
3x = 42
3x/3 = 42/3
x = 14
✅m<HJK = 3x - 2
Plug in the value of x
m<HJK = 3(14) - 2 = 42 - 2
m<HJK = 40°
Williams is planning a party. He spent 110.74 to buy 9.8 pounds of candy for favors. What was the cost per pound of the candy
Answer:
eleven dollars and thirty cents per pound of candy
Answer: $11.3
Step-by-step explanation:
110.74 divided by 9.8
I could be wrong.
can someone help me on this
Answer:
[tex] \frac{3}{4} = \frac{9}{12} [/tex]
[tex] \frac{1}{3} = \frac{2}{6} [/tex]
[tex] \frac{2}{4} = \frac{4}{8} [/tex]
Step-by-step explanation:
To generate equivalent fractions, you can either multiply the numerator and denominator by the same number or divide the numerator and denominator by a number provided the numerator and denominator remains whole number.
Let's solve the given problem:
Problem 1:
[tex] \frac{3}{4} = \frac{x}{12} [/tex]
To find the numerator that will make the fractions equivalent, the numerator would be multiplied by the same number that was used to multiply the denominator of the first fraction (4), from which the denominator of the second fraction (12) was gotten.
Here, the denominator of the first fraction, 4, was multiplied by 3 to get the denominator of the second fraction = 12.
Therefore, the numerator of the second fraction would be gotten by multiplying the numerator of the first fraction, 3 by 3 = 9.
Thus:
[tex] \frac{3}{4} = \frac{3*3}{4*3} [/tex]
[tex] \frac{3}{4} = \frac{9}{12} [/tex]
Both fractions are now equivalent because they now have the same value. 3÷4 will give you the same value as 9÷12.
Problem 2:
[tex] \frac{1}{3} = \frac{2}{x} [/tex]
The numerator, 1, was multiplied by 2 to get 2.
Therefore:
[tex] \frac{1}{3} = \frac{1*2}{3*2} [/tex]
[tex] \frac{1}{3} = \frac{2}{6} [/tex]
Problem 3:
[tex] \frac{2}{4} = \frac{x}{y} [/tex]
We can either divide the denominator and numerator by the same number which should remain a whole number, or multiply the denominator and numerator by the same number.
Let's multiply by 2 to get am equivalent fraction.
[tex] \frac{2}{4} = \frac{2*2}{4*2} [/tex]
[tex] \frac{2}{4} = \frac{4}{8} [/tex]
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
The histogram shows the number of people in different age groups who visited Rays coffee shop on a Tuesday morning.
Number of Customers in Different Age Groups
36
30
Number of Customers
24
18
12
6
0-
15-18
27-30
19-22 23-26
Age in Years
48
30
6
60
the maximum customer age recorded in
the histogram
Answer:
The maximum customer age recorded in the hisorograhm would be 30
The differiance of 27-30 and 19-22 would be 6
The total number of cutomers would be 60
The total number of people under 23 is 42
Answer:
the number of customers less than 23 years old recorded in the histogram: 42
the difference of the number of
customers in the age groups 27–30 and
19–22 recorded in the histogram: 6
the maximum customer age recorded in
the histogram: 30
the total number of customers recorded in
the histogram: 60
Step-by-step explanation:
PLEASE HELP ME PLEASEE !
Answer:
[tex]\sigma = 0.831[/tex] --- Standard deviation
[tex]Mode = 10[/tex]
Step-by-step explanation:
Given
[tex]x = 9,8,10,9,8,10,9,10,8,10[/tex]
Solving (a): The population standard deviation
First, we calculate the mean
[tex]\bar x = \frac{\sum x}{n}[/tex]
So, we have:
[tex]\bar x = \frac{9+8+10+9+8+10+9+10+8+10}{10}[/tex]
[tex]\bar x = \frac{91}{10}[/tex]
[tex]\bar x = 9.1[/tex]
The standard deviation is:
[tex]\sigma = \sqrt{\frac{1}{n}\sum (x - \bar x)^2}[/tex]
So, we have:
[tex]\sigma = \sqrt{\frac{1}{10}*[(9 - 9.1)^2+.................+(10- 9.1)^2]}[/tex]
[tex]\sigma = \sqrt{\frac{1}{10}*6.9}[/tex]
[tex]\sigma = \sqrt{0.69}[/tex]
[tex]\sigma = 0.831[/tex]
The mode is:
[tex]Mode = 10[/tex]
10 has the highest frequency of 4
Hi, i need to calculate roots x1 and x2 using the vieta theorem, can anyone help me? I have found the answer (1,5 ;2), all i need is a solution on how to get this answer, the equation is in the picture, will give you brainliest if you type down the correct solution for me, thanks.
9514 1404 393
Answer:
x = 3/2 or 2
Step-by-step explanation:
Essentially, what you're looking for is a pair of factors of (-2)(-6) = 12 that have a sum of 7. The factors 3 and 4 have that sum, so we can write ...
-2x² +3x +4x -6 = 0
x(-2x+3) -2(-2x+3) = 0
(x -2)(-2x +3) = 0
The roots are the values of x that make these factors zero.
x -2 = 0 ⇒ x = 2
-2x +3 = 0 ⇒ x = 3/2
These are consistent with Vieta's theorem, which tells you the sum of roots is -b/a = -7/-2 = 7/2. The sum of the two roots we found is 4/2 +3/2 = 7/2.
The product of roots is c/a = -6/-2 = 3. The product of the two roots we found is 2(3/2) = 3.
_____
Additional comment
I find it easier to find integer factors of integers than to find fractional factors of an integer. The direct use of Vieta's theorem would have you looking for factors of 3 that have a sum of 7/2. It seems easier to me to look for integer factors of 12 that have a sum of 7.
Answer:
Solution given:
-2x²+7x-6=0
2x²-7x+6=0
Comparing above equation with ax²+bx+c
we get
a=2
b=-7
c=6
By using Vieta's theorem
X1+X2=[tex] \frac{-b}{a} [/tex]=[tex] \frac{7}{2} [/tex]
again
X1X2=[tex] \frac{c}{a} [/tex]=[tex] \frac{6}{2} [/tex]=3
Which function has a range of y < 3?
Answer:
C. y=-(2)^x + 3
The population of a city increases by 4.7% per year. If this
year's population is 77,000, what will next year's population
be, to the nearest individual?
please help no links or i will report
Which of the following is equal to 4.6?
A.
1
.
6
+
(
3
×
4
)
−
2
÷
2
B.
1
.
6
+
3
×
4
−
2
÷
2
C.
[
1
.
6
+
(
3
×
4
)
]
−
(
2
÷
2
)
D.
(
1
.
6
+
3
)
×
(
4
−
2
)
÷
2
9514 1404 393
Answer:
D. (1.6 + 3) × (4 − 2) ÷ 2
Step-by-step explanation:
The order of operations requires that multiplication and division be done in order of appearance, left to right, before addition and subtraction. Operations in parentheses take priority.
To get 4.6, you need to add 3 to 1.6. The various forms of 3×4-2÷2 all give 12-1 = 11, not 3.
The grouping that gets it right is ...
(1.6 + 3) × (4 − 2) ÷ 2
= 4.6×2÷2
= 9.2÷2
= 4.6
Answer:
D Hope you have a goooooooood dayyyyy ☜(゚ヮ゚☜)(¬‿¬)
Step-by-step explanation:
pleaseee helppppppp!!
Answer:
AED means the entire angle
I AEB is 29 degrees and BEC is 12 degrees, the 29+12=41 degrees.
x=89-41
x=48 degrees
hope it helps :)
Answer:
If AED =89
Then CED = 29+12=41
89-41=48
A circle has a circumference of 113.04 units.
Answer:
The answer may or may not be either the diameter is 36 units, or the radius is 18 units.
Step-by-step explanation:
Since there is no question, then I am just assuming the question is what is the diameter or the radius. You would find this by dividing the circumference by pi:
113.04 / 3.14 = the diameter is 36
36 / 2 = the radius is 18
I hope this was helpful!!! Could I get brainliest?
Have a nice day!!
I need this please help me
9514 1404 393
Answer:
B, C, D
Step-by-step explanation:
In this diagram, all of the acute angles are congruent. Those are angles 2, 4, 6, and 75°. Similarly, all of the obtuse angles are congruent. They are supplementary to the acute angles, so we have angles 1, 3, (x-15)°, and 5 all have measure 180° -75° = 105°.
This means x = 105° +15° = 120°.
The true statements are ...
B. angle 2 = angle 6
C. x = 120°
D. angle 1 and angle 6 are supplementary
Julie has basketball practice every 6 days and track practice every 4 days. In how many days will she have both basketball and track practice
Answer: 12 days
Step-by-step explanation:
For us to know the number of days whereby Julie will have both basketball and track practice, we've to find the lowest common multiple of both 6 and 4. This will be:
Multiples of 4 = 4, 8, 12, 16, 24.
Multiples of 6 = 6, 12, 18, 24, 30.
The lowest common multiple is 12. Therefore, she'll have basketball and track practice in 12 days
ADD TEXT Find the 14th term of the sequence: 2, 4, 8, 16...
a.4096
b.8192
c.16384
d.65536
Answer:
it's actually 32,768 so yeah
but choose either c or d
Find the surface area of the prism.
Answer:
382
The surface Area means adding all the areas of all faces.
Step-by-step explanation:
The formula is 2 ( hl + wh+ lw)
Height- 13
Width- 5
Length- 7
Just Substitute All Values.
2 ( 91 + 65 + 35 )
2x191
= 382
Have a wonderful Day!
HElP I will give brainlist PLSSSS
Nicole and Anne work as sales people for different car dealerships. Nicole earns a monthly salary of $3,500 plus a 6% commission on her sales, x. Anne earns a monthly salary of $4,000 plus a 4% commission on her sales, x. the equations that represent the total monthly earnings, y, based on the amount of sales, x, are shown below.
Nicole y=3,500 + 0.06x
Anne y=4,000 + 0.04x
When the equations are graphed, the lines intersect at the point (25,000, 5,000). What does this point mean in relationship to the scenario above?
Both sales persons will earn a monthly salary of $5,000 for selling 25,000 vehicles.
Both sales persons will earn a monthly salary of $5,000 for selling 25,000 vehicles.
Both sales persons will earn a monthly salary of $25,000 for $5,000 in sales.
Both sales persons will earn a monthly salary of $25,000 for $5,000 in sales.
Both sales persons will earn a monthly salary of $25,000 for selling 5,000 vehicles.
Both sales persons will earn a monthly salary of $25,000 for selling 5,000 vehicles.
Both sales persons will earn a monthly salary of $5,000 for $25,000 in sales.
9514 1404 393
Answer:
(d) Both sales persons will earn a monthly salary of $5,000 for $25,000 in sales
Step-by-step explanation:
The variable definitions are ...
x = amount of sales
y = monthly earnings
Then the point (x, y) = (25000, 5000) means earnings are $5000 on sales of $25,000.
What is the radius of a sphere with a volume of 1203 cm', to the nearest tenth of a
centimeter?
Answer:
The radius of the sphere is of 6.6 centimeters.
Step-by-step explanation:
Volume of an sphere:
The volume of an sphere of radius r is given by:
[tex]V = \frac{4\pi r^3}{3}[/tex]
In this question:
[tex]V = 1203 \text{cm}^{3}[/tex]
Replacing into the equation, we find the radius, in centimeters. So
[tex]V = \frac{4\pi r^3}{3}[/tex]
[tex]1203 = \frac{4\pi r^3}{3}[/tex]
[tex]r^3 = \frac{1203*3}{4\pi}[/tex]
[tex]r = \sqrt[3]{\frac{1203*3}{4\pi}}[/tex]
[tex]r = 6.6[/tex]
The radius of the sphere is of 6.6 centimeters.
To decide whether two different types of steel have the same true average fracture toughness values, n specimens of each type are tested, yielding the following results. Type Sample Average Sample SD 1 60.7 1.0 2 60.5 1.0 Calculate the P-value for the appropriate two-sample z test, assuming that the data was based on n
Questions :
a. Calculate the P-value for the appropriate two-sample z test, assuming that the data was based on n = 100. (Round your answer to four decimal places.)
b. Calculate the P-value for the appropriate two-sample z test, assuming that the data was based on n = 500. (Round your answer to four decimal places.)
c. Is the small P-value for n = 500 indicative of a difference that has practical significance
Answer :
0.1574
0.00157
Yes
Step-by-step explanation:
Hypothesis :
H0 : μ1 - μ2 = 0
H1 : μ1 - μ2 ≠ 0
Given :
x1 = 60.7 ; x2 = 60.5 ; s1 = 1 ; s2 = 2
Based on n = 100
Test statistic, Z :
Z = (x1 - x2)/[√(s1²/n1 + s2²/n2 )]
x1 - x2 = 60.7 - 60.5 = 0.2
0.2 / √(1²/100 + 1²/100 )]
0.2 / √0.02
Z = 1.414
The Pvalue from Zscore :
P(Z < 1.414) = 0.1574
B.)
For n = 500
Z = (x1 - x2)/[√(s1²/n1 + s2²/n2 )]
x1 - x2 = 60.7 - 60.5 = 0.2
0.2 / √(1²/500 + 1²/500 )]
0.2 / √0.004
Z = 3.162
The Pvalue from Zscore :
P(Z < 3.162) = 0.00157
Yes, the small Pvalue for n = 500 is indicative of a difference with practical significance ; as the Pvalue are compare with the α to make about a Decison about our hypothesis.
which features describe the graph of y^2/96^2 - x^2/40^2 = 1? select two options
◽️a focus at (104, 0)
◽️a focus at (0, - 96)
◽️a vertex at (- 40, 0)
◽️a vertex at (0, 96)
◽️the center at (0, 0)
Answer: d and e
Step-by-step explanation:
Edge 2021
The option describes graph 4. a vertex at (0, 96), and 5. the center at (0, 0) from the given equation [tex]\dfrac{y^2}{96^2} - \dfrac{x^2}{40^2} = 1[/tex]
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
The given equation is
[tex]\dfrac{y^2}{96^2} - \dfrac{x^2}{40^2} = 1[/tex]
From the given equation,
a = 40
b = 96
(h,k) = (0,0),
The vertices are at (0,96) and at (0, -96).
The curves open upward and downward.
c² = a² + b²
c² = 40² + 96²
c² = 10816
c = 104
Therefore the foci are at (0, -104) and (0, 104).
Hence, the option describes the graph
4. a vertex at (0, 96) is correct.
5. the center at (0, 0) is correct.
Learn more about equations here;
https://brainly.com/question/27056029
#SPJ2