Answer:
3.6°Step-by-step explanation:
The question is incomplete. Here is the complete question.
Find the angle between the given vectors to the nearest tenth of a degree.
u = <8, 7>, v = <9, 7>
we will be using the formula below to calculate the angle between the two vectors;
[tex]u*v = |u||v| cos \theta[/tex]
[tex]\theta[/tex] is the angle between the two vectors.
u = 8i + 7j and v = 9i+7j
u*v = (8i + 7j )*(9i + 7j )
u*v = 8(9) + 7(7)
u*v = 72+49
u*v = 121
|u| = √8²+7²
|u| = √64+49
|u| = √113
|v| = √9²+7²
|v| = √81+49
|v| = √130
Substituting the values into the formula;
121= √113*√130 cos θ
cos θ = 121/121.20
cos θ = 0.998
θ = cos⁻¹0.998
θ = 3.6° (to nearest tenth)
Hence, the angle between the given vectors is 3.6°
A pair of dice is rolled. What is the probability that the sum is 9 or that the first number is a 2? Please show you're work!
Answer:
5/18
Step-by-step explanation:
There are 36 possible outcomes
There are 6 with a 2 as the first roll
There are 4 with a sum of 9
P( sum is 9 or that the first number is a 2)
= sum is 9 or that the first number is a 2/total
( 6+4) / 36
=10/36
=5/18
Identify the true statement about a curvilinear relationship. Multiple Choice The variables vary independently of one another. The relationship results in a flat line when graphed. The relationship is sometimes referred to as a monotonic function. The direction of the relationship changes at least once.
Answer:
The direction of relationship changes at least once.
Step-by-step explanation:
Curvilinear relationship is a relationship between two variables where if one variable increases the other variable also increases but up to certain point after which one variable increases and other decreases. This type of relationship is referred as non monotonic function.
Can someone help fast please
Answer:
B
Step-by-step explanation:
Just reduce your x's and y's. The x^-1 cancels with the x^5, and the y^-9 and y^-3 get simplified. After some basic simplifying, you get answer B.
Eric has a bag of 100 marbles. The bag contains 27 red marbles and 42 green marbles, and the rest are blue
marbles.
Eric is interested in the following events.
A: drawing a blue marble
B drawing a red marble
if Eric randomly draws two marbles, without replacing the first one, what is P(AB)?
Enter your answer as a fraction in simplest form. For example. If your answer is which reduces to enter it like
this: 3/4
Answer:
P(AB) = 837/9100
Step-by-step explanation:
The given parameters are;
The number of marbles in the bag = 100 marbles
The number of red marbles = 27
The number of green marbles = 42
The number of blue marbles = 100 - 27 - 42 = 31
The probability, A of drawing a blue marble = 31/100
The probability,B of drawing a red marble after a blue marble has been taken without replacement = 27/91
The probability P(AB) = 31/100× 27/91 = 837/9100
The probability that Eric randomly draws two marbles without replacing the first one where the first one is a blue marble and the second marble is a red marble is 837/9100.
A village P is 10km from a lorry station,Q on a bearing 065°.another village R is 8km from Q on a bearing 155°.calculate; a.the distance of R from P to the nearest kilometer and b.the bearing of R from P to the nearest degree.
Answer:
RP = 12.8 km
38 degrees
Step-by-step explanation:
RP = [tex]\sqrt{8^{2} + 10\\^{2} } \\[/tex]
RP = 12.8 km
angle = Inv sin = 8/12.8
angle 38.7°
: Find the angle measures given the figure is a rhombus.
Answer:
74°
Step-by-step explanation:
A rhombus is a quadrilateral (has four sides). For a rhombus: opposite sides are equal, opposite angles are equal, all the sides are equal, the diagonals bisect each other, adjacent angles are supplementary, diagonals bisect the angles.
From the diagram below since adjacent angles of a rhombus are supplementary therefore:
32° + 2∠1 (diagonals bisect the angles) = 180
2∠1 = 180 - 32
2∠1 = 148
∠1 = 148 / 2
∠1 = 74°
Solve the equation using the zero-product property. (2x − 8)(7x + 5) = 0 x = –2 or x = 7 x = –4 or x = x = 4 or x = x = 4 or x =
Answer:
x = 4 or x = - [tex]\frac{5}{7}[/tex]
Step-by-step explanation:
Given
(2x - 8)(7x + 5) = 0
Equate each factor to zero and solve for x
2x - 8 = 0 ⇒ 2x = 8 ⇒ x = 4
7x + 5 = 0 ⇒ 7x = - 5 ⇒ x = - [tex]\frac{5}{7}[/tex]
In the diagram, the measure of angle 8 is 124°, and the measure of angle 2 is 84°. What is the measure of angle 7? 56° 84° 96° 124°
================================================
Explanation:
The information about angle 2 is unnecessary info that your teacher likely put in there as a distraction. All we need is angle 8, which is 124 degrees. Angle 7 adds to this to form a 180 degree straight angle.
(angle 7) + (angle 8) = 180
(angle 7) + 124 = 180
angle 7 = 180 - 124
angle 7 = 56 degrees
Answer:
The measure of angle 7 is 56°.
Step-by-step explanation:
here, angle 8 = 124°
now, angle 8+ angle 7=180° (as the sum of linear pair is 180°)
or, 124°+angle 7=180°
or, angle 7=180°-124°
Therefore, tge measure of angle 7 is 56°.
Hope it helps.
Large samples of women and men are obtained, and the hemoglobin level is measured in each subject. Here is the 95% confidence interval for the difference between the two population means, where the measures from women correspond to population 1 and the measures from men correspond to population 2:
negative 1.76 g divided by dL less than mu 1 minus mu 2 less than minus 1.62 g divided by dL
−1.76 g/dL<μ1−μ2<−1.62 g/dL. Complete parts (a) through (c) below.
a. What does the confidence interval suggest about equality of the mean hemoglobin level in women and the mean hemoglobin level in men?
Answer:
a) Because the confidence interval does not include 0 it appears that there
is a significant difference between the mean level of hemoglobin in women and the mean level of hemoglobin in men.
b)There is 95% confidence that the interval from −1.76 g/dL<μ1−μ2<−1.62 g/dL actually contains the value of the difference between the two population means μ1−μ2
c) 1.62 < μ1−μ2< 1.76
Step-by-step explanation:
a) What does the confidence interval suggest about equality of the mean hemoglobin level in women and the mean hemoglobin level in men?
Given:
95% confidence interval for the difference between the two population means:
−1.76g/dL< μ1−μ2 < −1.62g/dL
population 1 = measures from women
population 2 = measures from men
Solution:
a)
The given confidence interval has upper and lower bound of 1-62 and -1.76. This confidence interval does not contain 0. This shows that the population means difference is not likely to be 0. Thus the confidence interval implies that the mean hemoglobin level in women and the mean hemoglobin level in men is not equal and that the women are likely to have less hemoglobin than men. This depicts that there is significant difference between mean hemoglobin level in women and the mean hemoglobin level in men.
b)
There is 95% confidence that the interval −1.76 g/dL<μ1−μ2<−1.62 g/dL actually contains the value of the difference between the two population means μ1−μ2.
c)
If we interchange men and women then
confidence interval range sign will become positive.μ1 becomes the population mean of the hemoglobin level in menμ2 becomes the population mean of the hemoglobin level in women So confidence interval becomes:1.62 g/dL<μ1−μ2<1.76 g/dL.
There is a significant difference between the mean level of hemoglobin in women and in men.
How to interpret the confidence intervalThe confidence interval of the mean is given as:
[tex]-1.76 g/dL < \mu_1-\mu_2 < -1.62 g/dL[/tex]
The above confidence interval shows that the confidence interval is exclusive of 0.
This means that 0 is not part of the confidence interval
Since the confidence interval is exclusive of 0, then there is a significant difference between the mean level of hemoglobin in women and in men.
Read more about confidence intervals at:
https://brainly.com/question/17097944
a plane started on a flight at 9:30 a.m and arrived at its destination at 1:45pm. The plane used 51 gallons of gas. The number of gallons used per hour was
Brainlist
Answer:
12 gallons
Step-by-step explanation:
Given the following :
Total amount of gas used by aircraft = 51 gallons
Flight departure time = 9:30 a.m
Arrival time of flight = 1:45p.m
Number of hours traveled by flight:
Arrival time - Departure time
1:45pm - 9:30a.m = 4hrs 15 minutes = [(60*4)+15] minutes = 240 + 15 = 255 minutes
Amount of gallons used per hour :
255 minutes = 51 gallons
I minutes = x
255x = 51 gallons
x = 51 / 255
x = 0.2 gallons
0.2 gallons per minute
1 hour = 60 minutes
Number of gallons per hour = (0.2 * 60) = 12 gallons
Pam works as an office administrator. She spends $7500 of her income on personal expenses each year. If this represents 18% of her salary, how much money does Pam earn in one year?
Answer: Pam's total salary is $41666.666
Step-by-step explanation:
Assume her total earning or salary per year = y
Personal expenses spent yearly = $7500
Personal expenses yearly ($7500) = 18% of y
100%y =
18% of y = 7500
(18/100)y = $7500
100% y = Total salary
0.18y = $7500 - - - - - - - (1)
1y = Total salary
(Total salary * 0.18y) = (7500 * y)
Total salary = 7500y / 0.18y
Total salary = 7500/0.18
Total salary = $41666.666
What is the real interest rate if the nominal interest rate is 1 when the rate of inflation is 2
Answer:
Real interest rate = -1%
Step-by-step explanation:
Real interest rate=Nominal interest rate - inflation rate
From the above,
Nominal interest rate=1%
Inflation rate=2%
Real interest rate=Nominal interest rate - inflation rate
=1% - 2%
= -1%
Real interest rate = -1%
Real interest rate shows you what it really costs borrowers to pay back their loans.
if the real interest rate is greater than zero, the amount you pay back is worth more in real terms than the money you borrowed.
if the real interest rate is below zero as in the above case, the amount you will pay back is less worth in real terms than the money you borrowed.
Which table represents a linear function?
Answer:
5, 10, 15, 20, 25 table.
Step-by-step explanation:
So the top table, for sure has a much more consistent, and or constant variable. That just means that the numbers are continuously being put into the table at the right amount, speed, etc. As it is increasing, your y is constant, and x remains in the appropraite way!
5, 10, 15, 20, 25..
It is very good.
Hope that helped.!
a person stands 15 ft from an elephant. determine how tall the elephant is in feet, the given diagram
Answer:
First
Step-by-step explanation:
● tan 30° = opposite/adjacent
Let x be the missing hight
● tan 30° = x/15
Multiply both sides by 15
● tan 30° *15 = (x/15)*15
● tan 30°*15 = x
● x = 8.66 wich is approximatively 5×√(3)
Find the measure of angle b. Note that the measure of angle b is acute. Round to the nearest degree.
Answer:
60.75
Step-by-step explanation:
sinA sinB
------- = -----
a b
sin(79)/9 = sinB/8
inverse sin B = 0.87
B = 60.75
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
2.86 seconds
Step-by-step explanation:
A graphing calculator shows the ball hits the ground at t = 2.86 seconds.
_____
You can use the quadratic formula with a=-16, b=45, c=2:
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-45\pm\sqrt{45^2-4(-16)(2)}}{2(-16)}=\dfrac{45\pm\sqrt{2153}}{32}\approx\{-0.0438,2.8563\}[/tex]
The ball is in the air for about 2.86 seconds.
3 3/8 divided by 9 =
Answer:
0.375
Hope this helps....
Have a nice day!!!!
Answer:
3/8
Step-by-step explanation:
Hey there!
[tex]\frac{3}{8} = \frac{3*8+3}{8} = \frac{24 + 3}{8} = \frac{27}{8}[/tex]
[tex]\frac{27}{8} = \frac{27 / 9}{8} = \frac{3}{8}[/tex]
= 3/8
Hope this helps :)
Expand. Your answer should be a polynomial in standard form. 3x(x to the second power, -5x+6)
Answer:
3x³ - 15x² + 18x
Step-by-step explanation:
Given
3x(x² - 5x + 6) ← distribute the parenthesis by 3x
= 3x³ - 15x² + 18x ← in standard form
3. Show how √5 can be represented on the number line.
Answer:
Take a line segment AB = 2 units (consider 1 unit = 2 cm) on x-axis.
Draw a perpendicular on B and construct a line BC = 1 unit length.
Join AC which will be √5 (Pythagoras theorem). Take A as center, and AC as radius draw an which cuts the x-axis at point E.
The line segment AC represents √5 unit
HELPPP
Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number, not a mixed number or decimal.
Enter the correct answer.
Answer:
[tex] slope (m) = -\frac{3}{2} [/tex]
Step-by-step explanation:
We can find the slope (m) by using coordinate pairs of any 2 points located along the slope of the line that we have on the graph.
This, let's use the coordinate pairs at:
x = -4, y = 2 (-4, 2) => (x2, y2)
x = 0, y = -4 (0, -4) => (x1, y1)
[tex] slope (m) = \frac{y2 - y1}{x2 - x1} [/tex]
[tex] slope (m) = \frac{2 -(-4)}{-4 - 0} [/tex]
[tex] slope (m) = \frac{2 + 4}{-4 - 0} [/tex]
[tex] slope (m) = \frac{6}{-4} [/tex]
[tex] slope (m) = \frac{3}{-2} [/tex]
[tex] slope (m) = -\frac{3}{2} [/tex]
Which is the graph of f(x) = -3√x?
pls answer quickly
Answer: the graph farthest to the right is almost correct. If you substitute values for x in the function f(x)= -3√x , the output does not match the curve on the graphs shown.
If you have a choice that includes only a curve to the right of the y- axis, that would be better.
Step-by-step explanation: Square roots of Negative x-values will result in imaginary numbers. Otherwise the graph with the curve passing through coordinates (1,-3) (4,-6) and (9,-9) is a good choice.
(And ask your teacher about the square root of negative numbers on this graph.)
pls let me know what you get for this question
Answer:
[tex]h=13\,\sqrt{3}[/tex]
[tex]x=52[/tex]
Step-by-step explanation:
Using the triangle formed in the far left, we can use the Pythagorean theorem to solve for h:
[tex]h^2+a^2=y^2\\h^2+39^2=(26\,\sqrt{3} )^2\\h^2=26^2\,(3)-39^2\\h^2=507\\h=\sqrt{507}\\h=13\,\sqrt{3}[/tex]
Now, using the right angle triangle on the right we solve for x:
[tex](x-a)^2+h^2=z^2\\(x-39)^2+507=26^2\\(x-39)^2=676-507\\(x-39)^2=169\\x-39=+/-13\\x=26\,\,\,or\,\,\,x=52[/tex]
since x has to be larger than "a" (39), we use the second answer:
[tex]x=52[/tex]
PLEASE SHOW YOUR WORK!!! ASAP best answer gets brainliest
Answer:
weak positive
Step-by-step explanation:
it is positive because it is going up to the right and weak because no points are together
Resolve into factors.
a)x4-5x2y2+4y4
Answer:
(x - y)(x + y)(x - 2y)(x + 2y)
Step-by-step explanation:
Given
[tex]x^{4}[/tex] - 5x²y² + 4[tex]y^{4}[/tex]
Consider the factors of the coefficient of the [tex]y^{4}[/tex] term (+ 4) which sum to give the coefficient of the x²y² term (+ 5)
The factors are - 1 and - 4 , thus
[tex]x^{4}[/tex] - 5x²y² + 4[tex]y^{4}[/tex]
= (x² - y²)(x² - 4y²)
Both of these factors are differences of squares which factor in general as
a² - b² = (a - b)(a + b) , so
x² - y² = (x - y)(x + y)
x² - 4y²
= x² - (2y)² = (x - 2y)(x + 2y)
Hence
[tex]x^{4}[/tex] - 5x²y² + 4[tex]y^{4}[/tex]
= (x - y)(x + y)(x - 2y)(x + 2y) ← in factor form
PLEASE HELP ASAPPPP!!!
Solve the right triangle given that mA =30°, mC = 90° and a = 15. Then round your result to ONE decimal place
Answer:
m∠B = 60°
b = 26 units
c = 30 units
Step-by-step explanation:
In a right triangle ACB,
By applying Sine rule,
[tex]\frac{\text{SinA}}{a}=\frac{\text{SinB}}{b}=\frac{SinC}{c}[/tex]
m∠A = 30°, m∠C = 90°
m∠A + m∠B + m∠C = 180°
30° + m∠B + 90° = 180°
m∠B = 180° - 120°
m∠B = 60°
Therefore, [tex]\frac{\text{Sin30}}{15}=\frac{\text{Sin90}}{c}=\frac{\text{Sin60}}{b}[/tex]
[tex]\frac{1}{30}=\frac{\text{Sin90}}{c}=\frac{\text{Sin60}}{b}[/tex]
[tex]\frac{1}{30} =\frac{1}{c}=\frac{\frac{\sqrt{3}}{2}}{b}[/tex]
[tex]\frac{1}{30}=\frac{1}{c}=\frac{\sqrt{3}}{2b}[/tex]
[tex]\frac{1}{30} =\frac{1}{c}[/tex] ⇒ c = 30 units
[tex]\frac{1}{30}=\frac{\sqrt{3}}{2b}[/tex]
b = 15√3
b = 25.98
b ≈ 26 units
what is 12 ÷ 1 1/5 ?
Answer:
10
Step-by-step explanation:
12 ÷ 1 1/5
Change to an improper fraction
12 ÷ ( 5*1+1)/5
12 ÷ 6/5
Copy dot flip
12 * 5/6
12/6 * 5
2*5
10
Answer:
10
Step-by-step explanation:
12 ÷ 1 1/5
Change into an improper fraction.
12 ÷ 6/5
Reciprocal and it becomes multiplication.
12 × 5/6
60/6
= 10
y<-3x+3
y
a. (1,-5)
b.(1,5)
c.(5,1)
d.(-1,5)
Answer: a
Step-by-step explanation:
substitute the coordinate values for x and y
y<3x+3, (1,-5)
-5<3(1)+3
-5<3+3
-5<6
the coordinate (1,-5) works, so a is the answer
in the circle, m∠S=33°, mRS=120, and RU is a tangent. the diagram is not drawn to scale. what is m∠U? Please help!
Answer:
27°
Step-by-step explanation:
arc RT = 66
1/2(120 - 66) = 27
Answer:
∠ U = 27°
Step-by-step explanation:
The inscribed angle S is half the measure of its intercepted arc, thus
arc RT = 2 × ∠ U = 2 × 33³ = 66°
The secant- tangent angle U is half the measure of the difference of the measures of the intercepted arcs, that is
∠ U = 0.5( RS - RT) = 0.5(120 - 66)° = 0.5 ×54° = 27°
Follow the steps to solve for the variable in this two step equation 5x-10=0
Answer:
x = 2
Step-by-step explanation:
5x = 10
x = 2
Answer:
x = 2
Step-by-step explanation:
5x-10=0
Add 10 to each side
5x-10+10=0+10
5x = 10
Divide by 5
5x/5 = 10/5
x = 2
Plzzzzzzzzzzzz helpppppppppp
Answer:
B. The horizontal cross-sections of the prisms at the same height have the same area.
Step-by-step explanation:
Notice that the cone and the pyramid have the same volume. This is important.
This follows the Cavalieri's principle that, for the case of 3 dimensions, as the present case, it states, roughly, that if we have two bodies like the cone and the pyramid, and if we have parallel planes crossing each section, and we always have the same area, these two bodies have the same volume.
In this case, both, cone and pyramid have the same volume, then (reciprocally):
B. The horizontal cross-sections of the prisms at the same height have the same area.
Answer:
B. The horizontal cross-sections of the prisms at the same height have the same area.
Step-by-step explanation:
ap333x