Answer:
c) x ≈ −2 and x ≈ 1.67
Step-by-step explanation:
Solve 3x²+ x - 10 = 0.
We solve using Almighty formula
-b ± √b² - 4ac/2a for equation: ax² + bx + c
where a = 3, b = 1, c = -10
Hence
-1 ± √1² - 4 × 3 × -10/2 × 3
-1 ± √1 - (-120)/6
-1 ± √1 + 121/6
-1 ± √121/6
-1 ± 11/6
Hence:
-1 - 11/6
-12/6 = -2
-1 + 11/6
= 10/6
= 1.67
Therefore, x = -2, x = 1.67
Option c) x ≈ −2 and x ≈ 1.67 is the correct answer
4.
{hghghghghghghghghg}
Answer:
B 84 cm^2 is the surface area of tbe prism
Step-by-step explanation:
Write the name of the property shown by each equation. ( Commutative, Associative, Identity, Properties of Zero.
a. 3 x (2 x r)=(3 x 2 ) x r
b. 15 x 1=15
c. 12 x p=p x 12
d. 35 x 0=0
e. 0 divided by 76=0
f. (8 x9) x 12= 8 x (9x12)
Answer:
Step-by-step explanation:
a. Associative property
b. Identity property
c. Commutative property
d. Properties of Zero
e. Properties of Zero
f. Associative property
A fire department's ladder is 110 feet long. A firefighter is trying to reach the top of a 100 foot building by leaning the ladder against the building. What is the angle of elevation for the rescue ladder?
Answer:
sin-¹(10/11)
Step-by-step explanation:
The height of the building is 100 ft and the ladder is 110ft long .We can imagine this situation as a right angled ∆. For figure refer to the attachment .
We can use ratio sine here. Let the angle of elevation be theta.In ∆ ABC :-
=> sinθ = p/h
=> sinθ = 100ft / 110 ft
=> sinθ = 10/11
=> θ = sin -¹ ( 10/11) .
Hence the angle of elevation is sin -¹ ( 10/11).The verticles of a polygon p(0,4), q(5,4), r(5.-3) and s(0,-3). What are the perimeters of the polygon
Answer:
Following are the responses to the given question:
Perimeter of polygon:
[tex]PQ = 5\\\\RS = 5\\\\PR = QS=\sqrt{74} = 8.60\\\\QR = 7[/tex]
Step-by-step explanation:
In this question we calculate the perimeter of a polygon which can be defined as follows:
Using formula:
[tex]d = \sqrt{(x _2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
When vertices are:
[tex]P ( 0 , 4) \\\\Q(5 , 4)[/tex]
[tex]x_1 = 0\\\\y_1 = 4\\\\x_2 = 5\\\\y_2 = 4\\\\PQ = \sqrt{( 5 - 0)^2 + ( 4 - 4)^2}\\\\= \sqrt{5^2 + 0^2}\\\\= \sqrt{25}\\\\= 5[/tex]
[tex]R( 5 , -3) and S ( 0 , -3)x_1 = 5y_1 = -3x_2 = 0\\y_2 = -3\\RS = \sqrt{ ( 0 - 5)^2 + ( -3 - (-3))^2}\\= \sqrt{( -5)^2 + ( -3 + 3)^2}\\= \sqrt{ 25 + 0}\\= \sqrt{25}\\= 5\\P( 0 , 4)\ and\ R (5 , -3)\\x_1 = 0\\y_1 = 4\\x_2 = 5\\y_2 = -3\\PR = \sqrt{( 5 - 0)^2 + ( -3 - 4)^2}\\= \sqrt{5^2 + (-7)^2}\\= \sqrt{ 25 + 49}\\= \sqrt{74}\\= 8.60\\[/tex]
[tex]Q ( 5 , 4) \ and \ S(0 ,-3)\\x_1 = 5\\y_1 = 4\\x_2 = 0\\y_2 = -3\\QS =\sqrt{ ( 0 - 5)^2 + ( -3 - 4)^2}\\= \sqrt{-5^2 + -7^2}\\= \sqrt{25 + 49}\\= \sqrt{74}\\= 8.60[/tex]
[tex]Q( 5,4\ and\ R(5 , -3)\\x_1 = 5\\y_1 = 4\\x_2 = 5\\y_2 = -3\\QR = \sqrt{(5 - 5)^2 + ( -3 - 4)^2}\\= \sqrt{0^2 + (-7)^2}\\= \sqrt{0 + 49}\\= \sqrt{49}\\= 7\\[/tex]
6
For a movie scene, a stuntman will slide down a wire that is connected from the top of a building to the ground. The wire,
the side of the building, and the ground can be represented as the sides of a right triangle, as shown in the figure below.
Building
600
Wire
70 feet
x feet
The height of the building where the wire is attached is 70 feet. Based on the angle measure in the figure, which of the
following is closest to the value of x?
A-140.0
B-70.0
C-121.2
D-40.4
Answer:
my best guess would be B for sure
im sorry but i need help with this seriously difficult question
what is 1+1?
Answer:
2
Step-by-step explanation:
1 + 1 = 2
Answer:
1+1 equals 2 ok are you a ok bye
hi! please help i’ll give brainliest
Answer:
The last answer is it I think.
Step-by-step explanation:
Janet must paint her outdoor circular tabletop because it has rusted. The diameter of the table
is four feet. How many square feet of paint will she use to take care of the task
Answer:
12.56 ft²Step-by-step explanation:
The area of the tabletop:
A = πr² = πd²/4 = 3.14*4²/4 = 12.56 ft²Answer: my friend up there did it right
Step-by-step explanation:
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
juan bicycles due north at 20mph eric starting at the same point at the same time bicycles due east at 15mph how.
far apart are they after 2 hours?
A. 10 miles
B. 35 miles
C. 50 miles
D. 70 miles
How many times must you roll an ordinary 6-sided dice for the probability of getting at least one multiple of 3 more than 0.7
Question isn't clearly stated.
The. Probability o
Answer:
Step-by-step explanation:
How many times must you roll an ordinary 6-sided dice for the probability of getting at least one multiple of 3 more than 0.7
Given a six sided die : (1, 2, 3, 4, 5, 6)
Multiple of 3 = (3, 6) = 2
Getting a multiple of 3 on a single roll :
P(multiple of 3) = 2 / 6 = 1/3
PLEASE I NEED THE ANDWER IN THE BEXT MINUTE
Answer:
Step-by-step explanation:
Radius = 28 : 2 = 14 cm
Area = radius^2 x π = 14^2 x π = 196 π cm^2
Answer:
The radius is 13
The area is 530.93
Step-by-step explanation:
To find the radius of a circle, you divide the diameter (26) by 2.
And I dunno abt the area :') I just used a calculator
Plz dont skip and answer. Will give branliest. No links please
Answer:
181 mi^2
Step-by-step explanation:
Dimensions of large rectangle, on the left, are 6 mi by 8 m; area is 48 m^2;
Dimensions of small rectangle, in the middle of the diagram, are 4 mi by 5 mi, or 20 mi^2; area is 20 mi^2.
Dimensions of circle: r = 12 mi; area of quarter circle is (1/4)(3.14)(12 mi)^2, or 113 mi^2.
Total area is 113 mi^2 + 20 mi^2 + 48 mi^2, or 181 mi^2
Answer:
Step-by-step explanation:
So first off. lets take chunks of this shape. We have a 6x8 rectangle, a 4x5 rectangle, and a 1/4 circle with a radius of 12.
The area of a rectnagle is just length x width.
So lets plug in our values for our two ractnagles, and see what we get:
6*8
=
48
So our first rectangle has a area of 48
Next we have:
4*5
=
20
So our second rectangle has an area of 20.
Add these otgether you get 68.
Finally we have our 1/4 circle. To solve this, find the area of the full circle and divide by 4.
We already know the radius, which is 12, and the formula for area of a circle is:
a=πr^2
Plug in 12:
a=π12^2
=
a=π144
dividing by four for the 1/4circle:
a=π36
So this means your answer is either:
68 +36π
Or:
181.097(solving pi*36)
Either of these work, if the problem allows pi, then use the first one, If not, use the bottom one.
Hope this helps!
the probability of an event happening is 5/9 what are the odds in favor of the event happening
Answer:
5/9
Step-by-step explanation:
it's literally telling you the answer and asking you
If they want the odds in favor then it's the odds of the event happening
Simplify
2 xm x 2n x 8m
Answer:
This simplified would be 32xm
Hope this helps!
Mark me brainliest if I'm right :)
2+2
I really struggle with this one plz help
Answer:
4
Step-by-step explanation:
lol ur kidding . of not u should work really hard :)
-59 Points!-
Below, the two-way table is given for a class of students.
^^^^^ (photo attached)
If a student is selected at random, find the
probability the student is a senior given that it's
female. Round to the nearest whole percent.
[?]%
Answer:
Solution given:
total female [T]=3+4+6+3=16
n[senior female]=3.
probability the student is a senior given that it's
female:[tex] \frac{n[senior female]}{total [T]} [/tex]
:[tex] \frac{3}{16} [/tex]
:[tex] \frac{3}{16} [/tex] is a probability.
Now percentage::[tex] \frac{3}{16}*100% [/tex]=18.75=19%
Answer:
18.75%. Rounding up: 19%
Step-by-step explanation:
From the table : Total Females = 3+4+6+3 = 16
Number of female seniors = 3
If a student is selected at random find the probability the student is a senior given that it's a female:
P(Female | senior) = number of female seniors / total female = 3/16 = 0.1875
In percent, 3/16 * 100 = 0.1875 * 100 = 18.75%
the probability the student is a senior given that it's a female. = 18.75%, which round to nearest whole percent is 19%.
Which of these expression is equivalent to 10% . 10%?
A. 100'
B. 103
C. 10,000,000
D. 2010
E. 107
what expression is equivalent to
Will name the brainliest
Answer:
A = 53° (Rounded to the nearest whole number)
Step-by-step explanation:
Since the angle needs to be found out and it's adjacent as well as hypotenuse is given we will used the Cosine ratio;
Cos(A) = [tex]\frac{26}{43}[/tex]
A = Cos⁻¹ ([tex]\frac{26}{43}[/tex])
A = 52.79 or 53
Hope this helps!
5.08, 1.99, 4.54, 4.83, 3.2, 1.99, 4.36, 4.8, 4.78
What is the median?
Answer:
4.45
Step-by-step explanation:
it is ordered from highest to lowest1,99 1,99 3.2 4,36 4,54 4,78 4,8 4,83
(2 numbers remain as medium)
is added and divided by 24,36
4,54
8,90/2= 4.45
i hope i have help you :)
Your Statistics group wanted to determine what percent of Dulles High School senior like pineapple on their pizza. You randomly sampled 60 seniors and 36 responded that pineapple is one of their favorite topping. You wanted to construct a 90% confidence interval to report your findings. (Use your Confidence Interval Notes and the assigned videos to answer the questions) A margin of error (ME) tells you how many percentage points your results will differ from the true proportion of the population. For example, a 95% confidence interval with a 4 percent margin of error means that your sample proportion will be within 4 percentage points of the true proportion value 95% of the time. Calculate the ME of your study.
Answer:
The answer is "0.1040"
Step-by-step explanation:
Margin of error[tex]=Z_{\frac{\alpha}{2}} \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\\\\[/tex]
[tex]=Z_{\frac{0.10}{2}} \sqrt{\frac{\frac{36}{60}(1-\frac{36}{60})}{60}}\\\\=1.645 \times 0.0632\\\\=0.1040\\\\[/tex]
PLEASE HELP ASAP!! will mark brainlest!
Answer:
1. Axis of Symmetry: x=-4, Vertex: (-4, -6)
2. Axis of Symmetry: x=2, Vertex: (2, 8)
Step-by-step explanation:
2.77777777778 simplified
Answer:
Step-by-step explanation:
Answer is in the pic I promise nothing bad.
f(n) = 2n− 5; Find f(−8)
Answer:
Step-by-step explanation:
Putting value of n = - 8 in the equation
F(n) = 2n− 5
F(-8) = 2(-8) - 5
= - 16 - 5 = - 21
Dr. Nick has a large red fluffy dice hanging from the rear view mirror in his car. The length of one of the sides of that die is 6 inches. What is the total surface area of that die?
Answer:
Total surface area of Die = 216 inch²
Step-by-step explanation:
Given:
Length of one side of die = 6 inches
Find:
Total surface area of Die
Computation:
Total surface area of Die = Total surface area of cube
Total surface area of cube = 6(side)²
Total surface area of Die = 6(Length of one side of die)²
Total surface area of Die = 6(6)²
Total surface area of Die = 6(36)
Total surface area of Die = 216 inch²
The fifth term of an arithmetic sequence is 96. Which rule could define the sequence?
Answer:
a+4d = 96
Step-by-step explanation:
Given: fifth term of an arithmetic sequence is 96
This means, a+4d = 96
Where, a is the first term in the series and d is the common difference,
Since, the terms is 5th therefore we can say that
a+4d = 96
a = 96-4d
Answer:
B) an = 18n + 6
Step-by-step explanation:
can you help me with this please
Answer:
x = Adjacent B). Tangent
Step-by-step explanation:
x = Adjacent
B). Tangent
Answer:
see explanation
Step-by-step explanation:
In relation to the angle 37°
The side opposite is labelled 14 → A
The adjacent side is labelled x → B
Using the trig function tangent would enable x to be found, that is
tan37° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{14}{x}[/tex]
Find the mean, median, mode, and range for the following numbers.
62,58,92,16,24
HELP ME PLS
Answer:
Mean: 50.4
Median: 58
Mode: None
Range: 76
Step-by-step explanation:
The mean is all the numbers added together and then divided by 5.
(62 + 58 + 92 + 16 + 24) ÷ 5 = 50.4
The median is the number in the middle. First, arrange the numbers from least to greatest and then pick the one in the middle
16, 24, 58, 62, 92
The mode is the number that appears the most. There is no mode in this data set because every number appears once.
The range is the biggest number subtract by the smallest number.
92 - 16 = 76
25 minutes before 9 at night is written as _:__p.m.
(answer quickly please)
Last year, Charmaine opened an investment account with $6200. At the end of the year, the amount in the account had decreased by 6.5%. How much is this
decrease in dollars? How much money was in her account at the end of last year?
Answer:
Decreased value- 2,170
Absolute difference- 4,030
Step-by-step explanation: