Answer:
im bad at math but i think its 120
Please help ASAP and please show work if possible.
Answer:
72° and 108°
Step-by-step explanation:
let one angle be x then the other angle is 1.5x
A linear pair sum to 180° , so
x + 1.5x = 180 , that is
2.5x = 180 ( divide both sides by 2.5 )
x = 72
1.5x = 1.5 × 72° = 108°
The two angles are 72° and 108°
Answer:
do you have wazapp I can send full pic of the answer here
which inequality represents all values of x for which the quotient below is defined? √15(x-1) ÷ √2^2
Answer:
Option D: x ≥ 1.
Step-by-step explanation:
Here we have the quotient:
[tex]\frac{\sqrt{15*(x - 1)} }{\sqrt{2*x^2} }[/tex]
Here we have two restrictions for the domain.
first, the denominator can never be zero, so x must be different than zero.
Second, the arguments of the square roots can not be negative.
The one in the denominator is always positive because we have the square of x.
So let's look at the values of x, such that:
15*(x - 1) ≥ 0
(x - 1) ≥ 0
x ≥ 1
Note that when x ≥ 1, we are also removing the problem in the denominator, then we can conclude that the fraction is defined when:
x ≥ 1.
The correct option is D
Help please guys if you don’t mind
Answer:
slope = -2
equation y= -2x -1
y - intercept (0,-1)
Answer:
y-int: -1
Slope: -2/1
Equation: Y=-2/1x-1
Step-by-step explanation:
The graph of F(x) can be compressed vertically and shifted to the right to produce the graph of G(x) . If F(x) = x ^ 3 , which of the following could be the equation of G(x) ?
Given:
The function is:
[tex]F(x)=x^3[/tex]
To find:
The function G(x) if the graph of F(x) can be compressed vertically and shifted to the right to produce the graph of G(x).
Solution:
The transformation is defined as
[tex]g(x)=kf(x+a)+b[/tex] .... (i)
Where, k is stretch factor, a is horizontal shift and b is vertical shift.
If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
It is given that F(x) can be compressed vertically and shifted to the right to produce the graph of G(x). So, the value of k must be lies between 0 and 1, and a<0.
In option A, [tex]0<k<1[/tex] and [tex]a<0[/tex]. So, this option is correct.
In option B, [tex]0<k<1[/tex] and [tex]a>0[/tex]. So, this option is incorrect.
In option C, [tex]k>1[/tex] and [tex]a>0[/tex]. So, this option is incorrect.
In option D, [tex]k>1[/tex] and [tex]a<0[/tex]. So, this option is incorrect.
Therefore, the correct option is A.
Help pls I’ll mark you brainliest
Answer:
Step-by-step explanation:
If the 2 lines are parallel
then x = 70 cos ( alternate interior angle)
but if not sorry man I just in grade 9 its my best effort
Really sorry. <3
:(
Drag each condition to the correct location on the table.
Match each condition to the number of triangles that can be constructed to fit the condition.
condition A: one side
measuring 4 inches,
another side measuring
8 inches, and a third
side measuring 10 inches
condition B: one angle
measuring 60°, another
angle measuring 40°, and
a third angle measuring 90°
condition C: one side
measuring 4 inches,
another side measuring
8 inches, and the angle
between them measuring 70°
condition D: one side
measuring 5 inches,
another side measuring
7 inches, and a third
side measuring 12 inches
condition E: one angle
measuring 30°, another
angle measuring 80°,
and the length of the
included side measuring
8 inches
condition F: one angle
measuring 40°, another
angle measuring 80°, and
a third angle measuring 60° I don't know how to do a pic, but it is no triangle one triangle and many triangle
Answer:
Condition A= 320 inches
Condition B= 190 Degrees F
Condition C= 2240 inches
Condition D= 350 inches
Condition E= 110 Degrees F 8 inches
Condition F= 180 Degrees F
Step-by-step explanation:
4 inches
8 inches
70 inches
60 D
40 D
90 D
4 inches
8 inches
70 D
5 inches
7 inches
12 inches
30 D
80 D
8 inches
40 D
80 D
60 D
Answer:
Condition A= 320 inches
Condition B= 190 Degrees F
Condition C= 2240 inches
Condition D= 350 inches
Condition E= 110 Degrees F 8 inches
Condition F= 180 Degrees F
Step-by-step explanation:
Find the equation of the line through point (2,2) and parallel to y=x+4. Use a forward slash (i.e.”/“) for fractions (e.g. 1/2 for
Answer:
The equation of the line is, y = x
Step-by-step explanation:
The constraints of the required linear equation are;
The point through which the line passes = (2, 2)
The line to which the required line is parallel = y = x + 4
Two lines are parallel if they have the same slope, therefore, we have;
The slope of the line, y = x + 4 is m = 1
Therefore, the slope of the required line = 1
The equation of the required lime in point and slope form becomes;
y - 2 = 1 × (x - 2)
∴ y = x - 2 + 2 = x
The equation of the required line is therefore, y = x
Factor the trinomial 7x2 – 3x – 4.
Which pair of numbers has a product of ac and a sum of b?
What is the factored form of the trinomial?
Answer:
(x - 1)(7x + 4)
Step-by-step explanation:
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 7 × - 4 = - 28 and sum = - 3
The factors are - 7 and + 4
Use these factors to split the x- term
7x² - 7x + 4x - 4 ( factor first/second and third/fourth terms )
= 7x(x - 1) + 4(x - 1) ← factor out (x - 1) from each term
= (x - 1)(7x + 4) ← in factored form
Answer:
-7 and 4
(7x+4)(x-1)
Step-by-step explanation:
What is the product?
(7x^2y^3)(3x^5y^8)
10x^7+y^11
10X^10y^24
21x^7y^11
21x^10y^24
Answer:
21x^7y^11.
Step-by-step explanation:
:D
Helppppp
A. 8/15
B. 8/17
C. 15/8
D. 15/17
Answer:
D
Step-by-step explanation:
sin theta is equal to perpendicular by hypotenuse
here perpendicular is equal to 15 and base is equal to 8 therefore hypotenuse will be equal to 17
on putting on putting the value of perpendicular by hypotenuse we get 15 by 17 as sin theta
Answer:
Step-by-step explanation:
hypotenuse = √(15²+8²) = √289 = 17
sinθ = (leg opposite θ)/hypotenuse = 15/17
What is the quotient of
Answer:
x^5+8x^4+17x^3-14x^2-84x-72
Step-by-step explanation:
Is the line that passes through the points A(0,1) and B(2,5) parallel to the line that passes through the points C(0,7) and D(4,15)?
Find the slope at AB
Answer:
Slope of AB = 2
Slope of CD = 2
equal slopes means the lines are parallel
Step-by-step explanation:
Use slope formula
m = [tex]\frac{(y_{2} -y_{1} )}{(x_{2} -x_{1} )}[/tex]
line AB = [tex]\frac{(5-1)}{(2-0)}[/tex] = [tex]\frac{4}{2}[/tex] = 2
line CD - [tex]\frac{(15-7)}{(4-0)}[/tex] = [tex]\frac{8}{4}[/tex] = 2
I NEED HELP PLZ ANSWER ILL GIVE BRAINLIEST
Answer:
-3
Step-by-step explanation:
If the equation is y = -5x -3, the y intercept is -3, and the slope is -5x. The number without a variable next to it, of any sort is always the y-intercept.
Translations _______ side lengths of the figure. A. alter B. all of these C. change D. preserve
Answer:
alter I think I am small but also I know these
Please help me ASAP!!!
Answer:
[tex]108 in^{2}[/tex]
Step-by-step explanation:
[tex]===========================================[/tex]
Formulas:
Area of a rectangle/square:
[tex]A=lw[/tex]
Area of a triangle:
[tex]A=bh\frac{1}{2}[/tex]
[tex]===========================================[/tex]
To find the square, length*width. Both the length and width are 6, so the area of the square is 36 in.
The triangles all have a base of 6 and a height of 6. So, 36 divided by 2 or multiplied by [tex]\frac{1}{2}[/tex]
You would get 18 in.
There are 4 triangles, so multiply 18 by 4. 72 in.
Add up 36 and 72.
The answer is 108.
[tex]===========================================[/tex]
[tex]108 in^{2}[/tex]
What is the surface area
find the period of the graph shown below
Answer:
Step-by-step explanation:
The period of a trig function tells you how much space is taken up by one "up-down-up" of the graph, which is a revolution. Because half of this graph takes place in a span of 2π, then the whole graph will span 4π.
The height of a cone is two times its base diameter. What is the volume of the cone in terms of its base radius r?
options are on the picture:)
Answer:-
The option B is the right answer.
Solution:-
[tex] \sf h = 2d = 2 \: • \: 2r = 4r[/tex]
[tex] \sf = \frac{1}{3} \pi {r}^{2} h[/tex]
[tex] \sf = \frac{1}{3} \pi {r}^{2} \: • \: 4r[/tex]
[tex] \sf = \frac{4}{3} \pi {r}^{3} \: \green✓ [/tex]
Which of the following is a characteristic of a regular tessellation?
Explanation:
For regular tessellations, the types of polygons that we can use are
squares or rectanglesequilateral trianglesregular hexagonsWe can only pick one of those shapes.
Shapes like regular octagons or pentagons will not work on their own because there is gap or overlap if we tried to glue them together. Think of tiles on the floor. There cannot be any gap or overlap when forming a tessellation.
If you wanted to use octagons to tessellate the plane, then you'd need squares to fill in the gaps. At this point, it's not considered a regular tessellation.
Find P(5) given P(x) = 4 - 1
Answer:6
Step-by-step explanation:
sorry if im wrong
HELP QUICKLY PLEASE!!
Answer:
D
Step-by-step explanation:
Because the first equation is equivalent to 1, and d is equivalent to 1, the rest are incorrect
Help! What is the equation of the line shown in the graph?
Answer:
y = -x -2
Step-by-step explanation:
Slope = -1
y intercept is -2
Slope = [tex]\frac{-4-1}{2-(-3) }[/tex] = [tex]\frac{-5}{5}[/tex] = -1
Find the measure of the missing angle using the exterior angle sum theorm
Answer:
160=130+x
x=160-130
x=30
please say me the answer fast with step by step process
Let be the set of permutations of whose first term is a prime. If we choose a permutation at random from , what is the probability that the third term is equal to
Answer:
[tex]Pr = \frac{1}{6}[/tex]
Step-by-step explanation:
Given
[tex]S = \{1,2,3,4,5\}[/tex]
[tex]n = 5[/tex]
Required
Probability the third term is 3
First, we calculate the possible set.
The first must be prime (i.e. 2, 3 and 5) --- 3 numbers
[tex]2nd \to 4\ numbers[/tex]
[tex]3rd \to 3\ numbers[/tex]
[tex]4th \to 2\ numbers[/tex]
[tex]5th \to 1\ number[/tex]
So, the number of set is:
[tex]S = 3 * 4 * 3 * 2 * 1[/tex]
[tex]S = 72[/tex]
Next, the number of sets if the third term must be 2
[tex]1st \to 2[/tex] i.e. 1 or 5
[tex]2nd \to 3\ numbers[/tex] ---- i.e. remove the already selected first term and the 3rd the compulsory third term
[tex]3rd \to 1\ number[/tex] i.e. the digit 2
[tex]4th \to 2\ numbers[/tex]
[tex]5th \to 1\ number[/tex]
So
[tex]r = 2 * 3 * 1 * 2 * 1[/tex]
[tex]r = 12[/tex]
So, the probability is:
[tex]Pr = \frac{r}{S}[/tex]
[tex]Pr = \frac{12}{72}[/tex]
[tex]Pr = \frac{1}{6}[/tex]
Solve an equation to find the missing angle
11.
[tex]6x = 30 \\ x = \frac{30}{6} \\ x = 5[/tex]
Missing angle:
[tex]6x \\ = 6 \times 5 \\ = 30[/tex]
_________________________________________
12.
[tex](4 + 5x) + (x + 2) = 180 \\ 6x + 6 = 180 \\ 6x = 180 - 6 \\ 6x = 174 \\ x = \frac{174}{6} \\ x = 29[/tex]
Missing angle 1:
[tex](4 + 5x) \\ = 4 + (5 \times 29) \\ = 4 + 145 \\ = 149[/tex]
Missing angle 2:
[tex]x + 2 \\ = 29 + 2 \\ = 31[/tex]
_________________________________________
13.
[tex]5x + (3x + 12) = 180 \\ 8x + 12 = 180 \\ 8x = 180 - 12 \\ 8x = 168 \\ x = \frac{168}{8} \\ x = 21[/tex]
Missing angle 1:
[tex]5x \\ = 5 \times 21 \\ = 105[/tex]
Missing angle 2:
[tex](3x + 12) \\ = (3 \times 21) + 12 \\ = 63 + 12 \\ = 75[/tex]
_________________________________________
14.
[tex]32 + (6x + 4) = 90 \\ 36 + 6x = 90 \\ 6x = 90 - 36 \\ 6x = 54 \\ x = \frac{54}{6} \\ x = 9[/tex]
Missing angle:
[tex](6x + 4) \\ = (6 \times 9) + 4 \\ = 54 + 4 \\ = 58[/tex]
_________________________________________
15.
[tex](2x + 1) + (x + 2) = 90 \\ 3x + 3 = 90 \\ 3x = 90 - 3 \\ 3x = 87 \\ x = \frac{87}{3} \\ x = 29[/tex]
Missing angle 1:
[tex](2x + 1 ) \\ = ( 2 \times 29) + 1 \\ = 58 + 1 \\ = 59[/tex]
Missing angle 2:
[tex]x + 2 \\ = 29 + 2 \\ = 31[/tex]
_________________________________________
16.
[tex](3x + 1) + (4 + 2x) = 90 \\ 5x + 5 = 90 \\ 5x = 90 - 5 \\ 5x = 85 \\ x = \frac{85}{5} \\ x = 17[/tex]
Missing angle 1:
[tex](3x + 1) \\ = (3 \times 17) + 1 \\ = 51 + 1 \\ = 52[/tex]
Missing angle 2:
[tex](4 + 2x) \\ = 4 + (2 \times 17) \\ = 4 + 34 \\ = 38[/tex]
One national survey found that 86 percent of those who were unhappily married, but who stayed with the marriage, were when reinterviewed five years later:
Comolete question is;
One national survey found that 86 percent of those who were unhappily married but who stayed with the marriage were, when re-interviewed five years later,
A) preparing to divorce
B) resigned to the situation
C) mostly "very" or "quite" happy
D) mostly "very" happy
Answer:
C) mostly "very" or "quite" happy
Step-by-step explanation:
From social psychology, we know that;
Sometimes people could be happy about something but later on as things progress they become satisfied and are happy about that same thing or person.
The same is the case here with marriage and more importantly in this research.
It says they were unhappily married but they stayed in the marriage and were interviewed 5 years after that. Thus, for them to stay that long even after being unhappy, it means that they began to become a bit happy along the line.
Thus, they would gradually become happy or mostly happy.
please help answer these!!!!
Jimmy’s family moved to a tropical climate. For the year that followed, he recorded the number of days that had a temperature above 400C each month. His data contained -
14, 14, 10, 12, 11, 13, 11, 11, 14, 10, 13 and 8
1) Find the mean for his data set of days that had a temperature above 400C.
2) Find the median for his data set of days that had a temperature above 400C.
3) Find the mode for his data set of days that had a temperature above 400C.
4) If, instead, there are 5 more days per month that had a temperature above 400C, what will be the mean for the data?
5) If, instead, there are 2 more days per month that had a temperature above 400C, what will be the mode for the data?
Answer:
1) 11.75
2) 11.5
3) 11 and 14
4) 16.75
5) 13, and 16
Step-by-step explanation:
The given data is 14, 14, 10, 12, 11, 13, 11, 11, 14, 10, 13, 8
1) The mean, [tex]\overline x[/tex] = (14+14+10+12+11+13+11+11+14+10+13+8)/12 = 11.75
2) The data arranged in increasing order is presented as follows;
8, 10, 10, 11, 11, 11, 12, 13, 13, 14, 14, 14
The count of he data points = 12
The median = The data at the (n + 1)/2 = (12 + 1)/2 = 6.5th position = 11 + (12 11)/2 = 11.5
The median = 11.5
3) The mode of the data set are 11 and 14
4) Where there are 5 more days per month that had a temperature above 40°C, we get;
The mean, [tex]\overline x_1[/tex] = (14+14+10+12+11+13+11+11+14+10+13+8+5×12 )/12 = 16.75 = [tex]\overline x[/tex] + 5
5) Given that there are 2 more days per month that had a temperature above 40°C, we get the days per month with temperatures above 40°C as follows;
8 + 2, 10 + 2, 10 + 2, 11 + 2, 11 + 2, 11 + 2, 12 + 2, 13 + 2, 13 + 2, 14 + 2, 14 + 2, 14 + 2
10, 12, 12, 13, 13, 13, 14, 15, 15, 16, 16, 16
Therefore, the mode are 13, and 16
The metric system has several advantages that include all of the following except _____.
only need to move the decimal point for conversions
prefixes are the same throughout
based on the numeral ten
only 10 base units to learn
Answer:
Only 10 base units to learn
Step-by-step explanation:
The metric system is a decimal based system developed to be universally acceptable by making use of base units from obtained from nature and the use of prefixes for multiples and submultiples of the base units, decimal ratios, which allows easy representation of quantities, as well as having a coherent structure of base and derived units which are obtained from the base units
During conversion in the metric system, which is decimal based, it is only required to move the decimal point
The prefixes which are used to specify multiples and submultiples are the same through out
The decimal system is based on the powers of ten
The number of base units to learn are 7 including; 1. Meter (m), 2. Kilogram (kg), 3. Second (s), 4. Ampere (A), 5. Kelvin (k), 6. Candela (cd), and 7. mole (mol)
Therefore the metric system has several advantages that include all of the following except; Only 10 base units to learn
the question is on the image.
Hi there!
[tex]\huge\boxed{\text{22 cm}}[/tex]
We know that:
Area of a rectangle = l × w
The areas are the same, so:
3x · 4 = 6(3x - 2.5)
Simplify:
12x = 18x - 15
Solve for x:
15 = 6x
x = 2.5
Plug in this value of x to find the perimeter of rectangle B:
P = 2l + 2w
l = 6
w = 3(2.5) - 2.5 = 5
P = 2(6) + 2(5) = 22 cm
