Answer:
x=√65 and x=-√65
Step-by-step explanation:
Givn the expression 2x^2 - 9 = 121
Add 9 to both sides
2x^2 - 9 + 9 = 121 + 9
2x^2 = 130
Divide both sides b 2
2x^2/2 = 130/2
x^2 = 65
x = ±√65
x=√65 and x=-√65
Pam wants to put a banner across her garage door to congratulate her son on his college graduation. The garage door is 9 feet high and 12 feet wide. How many feet long should the banner be to fit the garage door?
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Answer:
15 feet
Step-by-step explanation:
The diagonal of a 9 ft by 12 ft rectangle is given by the Pythagorean theorem as ...
d = √(9² +12²) = √225
d = 15 . . . . feet
The banner should be 15 feet long to match the length of the door diagonal.
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Answer:
am afraid am going to do a cooked method.this is the only way I can help please forgive me.
Step-by-step explanation:
answer is 5.9
PLEASE HELP ME RIGHT NOW
Find the range and interquartile range of the data.
23,45,39,34,28,41,26,33
The range of the data is
The interquartile range of the data is
Answer:
the answer to the range should be 22 but i do not have the interquartile range :(
Step-by-step explanation:
Q7. What is the sum of the first 50 terms of the
series 2 +17 +32 +47 +...?
Answer:
18475
Step-by-step explanation:
given sequence is in A.P.
sum of n terms of an A.P. is =
[tex] \frac{n}{2} \times (2a + (n - 1) \times d)[/tex]
here n = 50
a = 3
d= 15
ans is 18,475
what is the unit rate
Step-by-step explanation:
person above is . it's 5
At a restaurant, a meal gives a choice between 4 entrees: Steak, Chicken, Fish or Lamb chops, two sides: potato, or rice and three vegetables: broccoli, spinach, or cauliflower. Find the probability of the customer requires either a meal with potato and/or spinach?
There's a 25% chance that this would occur because there is 4 dishes and that divided by the full 100% is 25 so your answer is 25%
81 people passed and 27 failed their Functional Skills Level 2 exams.
Write this as a ratio in its simplest form.
Answer:
The ratio of approved and disapproved people in its simplest form is 3:1.
Step-by-step explanation:
Since 81 people passed and 27 failed their Functional Skills Level 2 exams, to write this as a ratio in its simplest form, the common greatest divisor of both numbers must be obtained:
27 is divisible by 1, 3, 9 and 27
81 is divisible by 1, 3, 9, 27 and 81
Therefore, the common greatest divisor of both numbers is 27. So, since 27/27 is equal to 1, and 81/27 is equal to 3, the ratio of approved and disapproved people in its simplest form is 3 :1.
The ratio in its simplest form is 1 : 3.
Definition of ratioRatio expresses the relationship between two numbers. It is the frequency with which a number is contained in another number. The sign used to represent ratio is ':'.
Expressing in the simplest formIn order to express the given number of people that passed and failed the exam, we have to divide both numbers by the highest common factor until both numbers cannot be divided further to yield a whole number.
Common factor of 27 and 81 = 1, 3, 9, 27
Highest common factor = 27
Expressing in the simplest form = 1 : 3
To learn more about ratios, please check: https://brainly.com/question/25927869
you have a spinner divided into 5 equal sections each section is number with a number 1 through 5 theoretically what is the probability of spinning and landing on a five
Answer:
20%
Step-by-step explanation:
1/5 = 20/100 = 20%
Answer:
1/5
Step-by-step explanation:
probability- number of favorable outcomes/ number of total outcomes
in this question,
number of favorable outcomes is 1.
and, the number of total outcomes is 5.
so, probability of spinning and landing on 5 is 1/5.
How can you find the area of a quadrilateral
Answer:
(½) × diagonal length × sum of the length of the perpendiculars drawn from the remaining two vertices.
Step-by-step explanation:
or you can solve for the area of the rectangle then the area of the triangle and add them together
What angle maximizes the area of the triangle below?
Answer:
90°
Step-by-step explanation:
Area of triangle with sides a and b and included angle Θ:
A = (1/2)ab * sin Θ
dA/dx = (1/2)ab cos Θ
(1/2)ab cos Θ = 0
cos Θ = 0
Θ = 90°
Triangle DEF has an angle D measuring 25 degrees and an angle E
measuring 50 degrees.
What is the measure of angle F, in degrees?
Answer:
The angle F of the triangle DEF measures 105 degrees.
Step-by-step explanation:
Given that triangle DEF has an angle D measuring 25 degrees and an angle E measuring 50 degrees, to determine what is the measure of angle F in degrees, knowing that the sum of the internal angles of every triangle gives a total of 180 degrees, we must perform the following calculation:
180 - 50 - 25 = F
130 - 25 = F
105 = F
Therefore, the angle F of the triangle DEF measures 105 degrees.
Define a proportion.
Answer:
a part, share, or number considered in comparative relation to a whole.
Step-by-step explanation:
Hope it helps u
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A monitor measures 10.6 inches by 16.8 what is the length of the diagonal
Step-by-step explanation:
We will use pythagoras' Theorem for this question
[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]
where c is the longest side (in this case, the diagonal)
a and b are the 2nd and 3rd longest side (interchangeable)
given a = 10.6, b = 16.8,
[tex] {c}^{2} = {10.6}^{2} + {16.8}^{2} \\ {c}^{2} = 112.36 + 282.24 \\ {c}^{2} = 394.6 \\ c = \sqrt{394.6} \\ = \frac{ \sqrt{9865} }{5} inches[/tex]
A real estate developer is considering investing in a shopping mall on the outskirts of Atlanta, Georgia. Three parcels of land are being evaluated. Of partic- ular importance is the income in the area surrounding the proposed mall. A ran- dom sample of four families is selected near each proposed mall. Following are the sample results. At the .05 significance level, can the developer conclude there is a difference in the mean income?
Southwyck Area Franklin Park Old Orchard
64 74 75
68 71 80
70 69 76
60 70 78
Answer:
I dont know.
Step-by-step explanation:
sorry
An 84-square foot tabletop is starting to bow in the middle. Using only the scrap wood in her shop, a carpenter
adds a diagonal support piece to the square shaped tabletop. Which of the following lengths of scrap wood is
closest to the length the diagonal support piece?
Answer:
13.5
Step-by-step explanation:
Answer:
13.5
Step-by-step explanation:
The difference between -7 and a number x is no more than -2/3
Answer:
Pregunta muy difícil, no creo que pueda resolver este amigo.
Step-by-step explanation:there is no step-by-step thing because honestly don't understand what your trying to say here. Hmm...
Find the measure of angles 1-7(please help)
Answer:
Step-by-step explanation:
1. 70 deg (compliment angle of 110 deg.)
2. 65 deg (compliment angle of 115 deg.)
3. 65 deg (corresponding angle of angle 2)
4. 115 deg (corresponding angle of 115 deg.)
5. 45 deg (angles 1+3+5 = 180 deg. as sum of internal angles in a triangle)
6. 45 deg (alternate angle of angle 5)
7. 45 deg (corresponding angle of angle 5)
Find the measure of one exterior angle. Round your answer to the nearest 3 points
tenth if necessary.
Your answer
Find the measure of one exterior angle. Round your answer to the nearest tenth of necessary
Answer:
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Answer:
21) Scalene - Right triangle, 22) Scalene - Right triangle, 23) Equilateral - Acute triangle, 24) Isoceles - Obtuse triangle, 25) Scalene - Right triangle.
Step-by-step explanation:
21) This triangle has three sides of distinct length and a right angle and two acute angles: Scalene - Right triangle.
22) This triangle has three sides of distinct length and a right angle and two acute angles: Scalene - Right triangle.
23) This triangle has three sides of same length and three acute angles: Equilateral - Acute triangle.
24) This triangle has two sides of same length and an obtuse angle and two acute angles: Isoceles - Obtuse triangle.
25) This triangle has three sides of distinct length and a right angle and two acute angles: Scalene - Right triangle.
what force would be required to accelerate a 1,100 kg car to 0.5m/s?
Answer:
550 N
Step-by-step explanation:
We can solve the problem by using Newton's second law:
[tex]F=ma[/tex]
F is the force required to accelerate the car
m is the mass of the car
a is the acceleration of the car
In this problem, the mass is m=1100 kg, while the acceleration is a=0.5 m/s^2, therefore the force required to accelerate the car is
[tex]F=ma=(1100kg)(0.5m/s^{2} )=550N[/tex]
Hope this helps!
Evaluate the expression when c=8 and d= 4
c+7d
Answer:
36
Step-by-step explanation:
8+7(4)
8+28
36
A relay team of 4 people run 5 miles. How many miles does each person run?
Answer:
5 miles
Step-by-step explanation:
they all ran 5 miles
A pizzeria sells 1 pizza pie for $13, 2 for $23, 3 for $33, and 5 for $53.
Is that a proportional relationship? yes or no?
Answer:
Yes, 10 dollars are added each time
Step-by-step explanation:
Find the slope of the line passing through the points (6,6) and (6, -7).
slope: 1
Answer:
The line is a vertical line, which does not have a slope.
Step-by-step explanation:
Slope of a line:
Suppose we are given two points in the format (x,y) of a line. The slope is given by the change in y divided by the change in x.
(6,6) and (6, -7).
Change in y: -7 - 6 = -13
Change in x: 6 - 6 = 0
Slope is a division by 0, which means that the line is a vertical line, which does not have a slope.
Need the measurements for 1 2 and 3
Answer:
m, c, and l
Step-by-step explanation:
The size your dog and the number of times you take it to the vet, The amount your drive to school and the amount you have to pay for gas, The number of people at your party and the number of sodas you have in the refrigerator. What correlation are all of these separately. None, Positive, or Negative thanks so much and tell me which one thanks!
1. No correlation
Those things don't really relate to each other.
2. Positive correlation
The more you drive your car, the more you'll have to pay for gas.
3. Negative correlation
More people = less soda.
An object changes speed from 10 m/s to 18 m/s in the course of 4 seconds. What is its acceleration? HURRY PLEASE IM TAKING A TEST ASAP 50 points and brainliest
Answer:
2
Step-by-step explanation:
Velocity/Time, or 8/4 equals 2.
Hope this helps!
Evaluate the expression if x = 3.
5x – (4 + x)
-
do not post any links.
Answer:
the answer is 8
Step-by-step explanation:
5 times 3 is 15
4 plus 3 is 7
15 minus 7 is 8
Please help me with these, find the missing side. Thank yu only if you know
Answer:
7.48m (3s.f.)
Step-by-step explanation:
Let the missing side be x m.
Applying Pythagoras' Theorem,
x² +5²= 9²
x² +25= 81
x²= 81 -25 (-25 on both sides)
x²= 56
[tex]x = \sqrt{56} [/tex]
[tex]x = 2 \sqrt{14} [/tex]
x= 7.48 (3 s.f.)
∴ The missing side is 7.48 m (3s.f.)
In how many years will $12000 yield an interest of $13230 at %10 simple interest
Answer:
the answer is 11.025