Answer:
188 m²
Step-by-step explanation:
The formula to find the surface area of a rectangular prism/cuboid: [tex]A = 2(lw + lh + wh)[/tex], where [tex]l[/tex] is the length, [tex]w[/tex] is the width and [tex]h[/tex] is the height.
1) Plug the values into the formula.
[tex]A = 2((7(6)) + ((7)(4)) + ((4)(6)))[/tex]
2) Solve it.
[tex]A = 2(42 + 28 + 24)\\A = 2(94)[/tex]
A = 188 m²
The pH of sea water is 7.6 and the PH of milk of magnesium is 10.5. 1.What are the hydrogen ion concentrations of each? 2.How many times great is the hydrogen ion concentration of the sea water than of milk of magnesium?
Answer:
2.5*10^-8 for sea water, 3.16*10^-11 for milk of magnesium, and 790 times greater
Step-by-step explanation:
We're trying to find the concentration of H+ in the solution using the pH, so
let's define pH first.
pH=-log(H+)
This equation can be re-written as
H+ = 10^(-pH), or H+ = 1/(10^pH)
The pH of sea water is 7.6, so the concentration of H+ in sea water is 10^(-7.6), which is about 2.5*10^-8
The pH of milk of magnesium is 10.5, so the concentration of H+ in milk of magnesium is 10^(-10.5), which is about 3.16*10^-11
To compare how much more the concentration of the hydrogen ion is, we just divide
(2.5*10^-8)/(3.16*10^-11) = 791, or 790 with sig figs.
Group b.. pls help me
Answer:
Step-by-step explanation:
m∠ABC + m∠BAC + m∠ACB = 180°
a + 2a + 6a = 180°
9a = 180°
a = 20°
m∠ABC = 20°
m∠BAC = 2 × 20° = 40°
m∠ACB = 6 × 20° = 120°
i need help with this algebra question
Answer:
[tex]m=\frac{6}{7}[/tex]
Step-by-step explanation:
[tex]m=\frac{10-4}{9-2}=\frac{6}{7}[/tex]
Answer: [tex]\frac{6}{7}[/tex]
Explanation:
In the numerator we have [tex]y_2 - y_1 = 10-4 = 6[/tex] to represent the change in y, aka the rise. This is the vertical change. It's how much we go up.
The denominator has [tex]x_2 - x_1 = 9-2 = 7[/tex] to represent the run. It is the horizontal change, or how much we go to the right.
We go up 6 and to the right 7 to have a slope of [tex]m = \frac{\text{rise}}{\tex{run}} = \frac{6}{7}[/tex]
Here's how you can show the steps
[tex]m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{10-4}{9-2}\\\\m = \frac{6}{7}\\\\[/tex]
Note: To write [tex]\frac{6}{7}[/tex] on the keyboard, you can type 6/7
Mandy paints four square walls that are ten feet on each side. Which expression represents the total square footage that Mandy painted?
4 × 102
42 × 10
4 × 10 × 2
102 + 4
Answer:
C. 4 × 10 × 2
Step-by-step explanation:
There are four walls that are ten feet on each side.
You would take 4 (number of walls) × 10 (number of feet in length), and because there are 2 sides of the walls, you would take that × 2.
Therefore, your answer is 4 × 10 ×2
triangle ABC is circumscribed about circle touching the circle at P,Q,R . if AP=4 cm, BP=6cm, AC=12cm, then find the radius of the circle.
NO LINKS + CORRECT ANSWER GETS BRAINLIEST
An auditorium has 9025 seats arranged in rows and columns. Each rows contains as many as the total numbers of rows . Find the numbers of rows in the auditorium .
Answer:
95
Step-by-step explanation:
9025 is a perfect square of 95. hence the number of rows is 95.
[tex]☞︎︎︎ \: x \: \times \: x = 9025[/tex]
[tex]☞︎︎︎ \: {x}^{2} = (5 \times 5) \: \times \: (19 \times 19)[/tex]
[tex]☞︎︎︎ \: {x}^{2} = {95}^{2} [/tex]
[tex]☞︎︎︎ \: x \: = \sqrt{ {95}^{2} } [/tex]
[tex]☞︎︎︎ \: x = 95[/tex]
SourCandyy シ︎Find the surface area of a square pyramid with side length 2 km and slant height 2 km
side length 2 km and slant height 2 km.
to find:the surface area of the pyramid.
solution:area of 4 triangle= 1/2 × 2 × 2 × 4
= 8km
area of rectangle= 2×2
= 4km
area= 4+8
= 12km
so, the surface area of the pyramid is 12km.
Jason bought 3 shirts that each cost the same.He has a coupon for $10 off and he spent $65 altogether.Which equation can be used to find the cost of each shirt
Answer:
3x-10=65
Step-by-step explanation:
So, since he used the coupon, you can do 65+10=75.
The cost before the coupon is 75.
The cost of each shirt is 75/3, but that doesn't solve the question.
You can do (assume each shirt's cost is x)
3x-10=65
I could give more in depth but I can't see the options, sorry!
Answer:
(65+10) / 3= x
x would equal what each shirt costs
Step-by-step explanation:
A rectangular prism is cut along a diagonal on each face to create two triangular prisms. The distance between AA and BB is 55 inches.
The surface area of the rectangular prism is 94 in² and the surface area of the two triangular prisms is 142 in².
What is of total surface area of the rectangular prism?The total surface area of the rectangular prism is the space occupied by each of the face of it. It is the sum of area of all the faces of the prism.
Total surface area of the rectangular prism is calculated with the following formula.
[tex]A=2(lb+bh+lh)[/tex]
Here, (b) is the breath of the base (l) is the length and (h) is the height of the rectangular prism.
A rectangular prism is cut along a diagonal on each face to create two triangular prisms. The distance between A and B is 5 inches.
The length, width, and height of the prism is 5in, 3 in and 4 in long. Put these value in the above formula as,
[tex]A=2(5\times3+3\times4+5\times4)\\A=2(15+12+20)\\A=2(47)\\A=94\rm\; in^2[/tex]
The formula for surface area of one triangle prism is,
[tex]A_t=(a+b+c)l+bh[/tex]
Here, (a,b,c) are the sides of a triangle. The sides of the triangular face are 3 in, 4in and 5 in long. Thus, the surface area of it is,
[tex]A_t=(4+3 +5)5+3\times4\\A_t=(12)5+12\\A_t=72\rm\;in^2[/tex]
For the two triangular prism,
[tex]A_t=2\times72\\A_t=142\rm\; in^2[/tex]
Hence, the surface area of the rectangular prism is 94 in² and the surface area of the two triangular prisms is 142 in².
Learn more about the total surface area of a rectangular prism here;
https://brainly.com/question/15456870
#SPJ1
Application of Geometric Series
Answer:
7.2224
Step-by-step explanation:
The value of the summation is given by the formula ...
Sn = (a1)(1 -r^n)/(1 -r) . . . . . where a1 is the first of n terms, and r is the common ratio.
Your sum has first term and ratio ...
a1 = 2(0.6) . . . . . summation term for n=1
r = 0.6
So the sum is ...
[tex]\displaystyle \sum_{n=1}^4{2(0.6^n)}=2(0.6)\dfrac{1-0.6^4}{1-0.6}=\dfrac{1.2}{0.4}(0.8704) = 2.6112[/tex]
Then the value of the entire given expression is ...
[tex]\displaystyle 2+2\sum_{n=1}^4{}2(0.6^n)=2+2(2.6112)=\boxed{7.2224}[/tex]
_____
A calculator can help you find the value.
Three students are working to find the solution set of this system of equations:
y = 3x + 10
2y = 6x – 4
Use the drop-down menus to complete the statements about each of their methods.
Mia answer choices 1:
-Intersect
-Do not Intersect
-Are the same line
Mia answer choices 2:
-One
-Zero
-Infinetly many
Roberto answer choices 1:
-Can
-Cannot
Delmar answer choies 1:
-sometimes
-never
-always
Delmar answer choices 2:
-One
-Zero
-Infinitely many
In the equation, Mia correctly graphs the two lines and sees that they do not intersect. This means that the system has zero solution.
How to illustrate the equation?From the complete question, Roberto correctly sees that y cannot be equal to both 10 more than three times a number and 2 less than three times a number at the same time.
Delmar correctly concludes that because 3x + 10 and 3x - 2 will never be equal, the system has zero solution.
Learn more about equations on:
https://brainly.com/question/12444483
solve for x
plss help
Answer:
2
Step-by-step explanation:
These two are similar triangles. 3 corresponds to 9, and x corresponds to 6. Since 3 is being multiplied by 3 to get 9, x*3 should equal 6. Therefore, x is 2.
WHOEVER ANSWERS CORRECT AND FIRST WILL GET BRAINLIEST! How long does it take an elevator to go from the ground floor to the observation deck at a height of 869 feet?
so for a height of 869 feet the time will be 21.725s
[tex]1s = 40ft \\ x = 869ft \\ x= \frac{869}{40} \\ x = 21.725ft[/tex]
i need help please !!
Answer:
22x + 155
Step-by-step explanation:
9(x-3)+ 13(x+14) use distributive law
9x - 27 + 13x + `182 gather 'like' terms
(9x+13x) + ( -27+ 182) simplify
22x + 155
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Step-by-step explanation:
You must set up a proportion, it is called finding the geometric mean.
[tex] \frac{x}{4} = \frac{36}{x} [/tex]
Then, you must cross multiply to get:
[tex] {x}^{2} = 144[/tex]
Then, take the square root
[tex] \sqrt{ {x}^{2} } = \sqrt{144} [/tex]
[tex]x = 12[/tex]
If this answer helped you, I would greatly appreciate the brainliest :D
what digit is in the ten thousand place in 796,142 what is the answer
Answer:
9
Step-by-step explanation:
2 is in the ones place
4 is in the tens
1 is in the hundreds
6 is in the thousands
9 is in the ten thousands
Answer:
The number that is in the ten thousands is 9, whose value is 90,000.
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Thank you so much for participate in the community of Brainly.com
I hope help you :)
Kind regards, Antonio.
Help I think it’s probably D
Pyramid ABCDE is a square pyramid.
What is the lateral area of pyramid ABCDE?
A ) 162 3 cm^2
B ) 324 3 cm^2
C ) 648 3 cm ^2
D ) 1296 3 cm ^2
Answer:
B
Step-by-step explanation:
i took the test and got a 100% so ys that the answer.
Answer:
B
Step-by-step explanation:
"lateral" means "belonging to the side".
so, the lateral area of a square pyramid (or any kind of pyramid or other 3-D structure, really) is the sum of the areas of its side faces.
so, in essence we have to calculate the area of one of the side triangles, and then multiply it by 4, as the other 3 are equal (due to the fact that the base is a square, and we are clearly dealing with a regular, symmetric pyramid).
each of the side triangles is an isoceles triangle (both legs are equal long, therefore both side angles are equal too).
that means both side angles are 60° each.
and because we know that the sum of all angles in a tingle is always 180°, the angle at the top is
180 - 60 - 60 = 60°
hey, all 3 angles are the same !
that means the triangle is not only isoceles but equilateral (all 3 sides are equally long).
and that means all sides are 18 cm long.
the area of a triangle can be calculated for our scenario in 2 major ways :
1. baseline × height / 2
2. Heron's formula (since we know all 3 sides) :
A = sqrt(s(s-a)(s-b)(s-c)), s = (a+b+c)/2
I don't know which one your teacher wants you to use.
so,
1.
the height we get via Pythagoras
leg² = (baseline/2)² + height²
18² = (18/2)² + height²
324 = 81 + height²
81×4 = 81 + height²
81×3 = height²
height = sqrt(81×3) = 9×sqrt(3)
the area of the triangle is
18 × 9 × sqrt(3) / 2 = 9 × 9 × sqrt(3) = 81×sqrt(3) cm²
2.
s = (18+18+18)/2 = 54/2 = 27
A = sqrt(27(27-18)(27-18)(27-18)) =
= sqrt(9×3×9×9×9) = 3×3×3×3×sqrt(3) = 81×sqrt(3) cm²
the total lateral area is then
4×81×sqrt(3) = 324×sqrt(3) = 561.1844617... cm²
oh, I see, i think you did not include the square root in the answer options. that is confusing.
but as you can see, option B must be correct.
i will give brainliest please help
A number less than 5
⇒ x < 5
When all the numbers in the spinner are substituted in the inequality, we can see that only three numbers are less than 5.
⇒ 2, 3, and 4
Reviewing the formula to calculate probability:[tex]\dfrac{\text{Total numbers less than 5}}{\text{Total numbers in the spinner}} = \text{Probabilty of getting less than 5}[/tex]
Substituting the values in the formula:[tex]\dfrac{\text{Total numbers less than 5}}{\text{Total numbers in the spinner}} = \text{Probabilty of getting less than 5}[/tex]
[tex]\bullet \ \text{Total numbers less than five: 3}[/tex]
[tex]\bullet\ \text{Total numbers in the spinner} = 4[/tex]
[tex]\implies \boxed{\dfrac{3}{\text{4}} = \text{Probabilty of getting less than 5}}[/tex]
Final answer:Option B is correct.
|x+1|+|x-2|=3
WHAT IS THE ANSWER??
Answer:
-1 ≤ x ≤ 2
Step-by-step explanation:
The given equation can be rewritten as a piecewise function and solved in pieces.
The term |x+1| changes definition at x=-1. For x-values less than that, it is defined as -(x+1). Similarly, the term |x-2| changes definition at x=2. For x-values less than that, its definition is -(x-2). In the following, we consider the three pieces of the function.
__
x < -1In this domain, the absolute value functions both have negative arguments, so the equation is effectively ...
-(x +1) -(x -2) = 3
-2x +1 = 3 . . . . . . . simplify
-2x = 2 . . . . . . subtract 1
x = -1 . . . . divide by -2
This value of x is not in the domain we have defined, so there is no solution in this domain.
__
-1 ≤ x ≤ 2In this domain, the function |x+1| has a non-negative argument, but the function |x-2| has a non-positive argument. The equation is effectively ...
(x +1) -(x -2) = 3
x -x +1 +2 = 3 . . . . . eliminate parentheses, group like terms
3 = 3 . . . . . . . . . true for the entire domain
The solution here is -1 ≤ x ≤ 2.
__
2 < xBoth absolute value terms have positive arguments in this domain, so the equation is effectlvely ...
(x +1) +(x -2) = 3
2x -1 = 3 . . . . . simplify
2x = 4 . . . . add 1
x = 2 . . . . divide by 2
This value of x is not in the domain we have defined, so there is no solution in this domain.
__
The solution to the given equation is -1 ≤ x ≤ 2.
If a student does not like ballet, what is the probability that student also does not like salsa?
like salsa hate salsa total
like ballet 32 42 74
hate ballet 22 4 26
total 54 46 100
if a student does not like ballet (there is 26 that do not like ballet)..what is the probability that the student does not like salsa..of those 26 that do not like ballet, 4 do not like salsa...
4/26 = 0.1538 = 15.38% rounds to 15.4% <=
Mr. Bauer Placed the letters in the word basketball into a bag what is the probability of choosing a B not replacing it and then choosing a vowel
Using it's concept, it is found that there is a 0.0333 = 3.33% probability of choosing a B not replacing it and then choosing a vowel.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
The word basketball has 10 letters.
b is one of them, hence P(A) = 1/10 = 0.1.Then, of the 9 letters, 3 will be vowels, hence P(B|A) = 3/9 = 1/3 = 0.3333.Thus, the probability of choosing a B not replacing it and then choosing a vowel is given by:
[tex]P(A \cap B) = P(A)P(B|A) = 0.1 \times 0.3333 = 0.0333[/tex]
More can be learned about probabilities at https://brainly.com/question/14398287
Answer: 2/45
The question asks for choosing the letter B, which we know that there is two of in basketball, so 2/10, and then we multiply it by the amount of vowels, which is 2/9, and when we multiply we get 4/90 which can be simplified to 2/45.
Which of the following lines are parallel?
Answer:
D&E, A&B
Step-by-step explanation:
It's pretty confusing but I know any of the answers with "c" in it is incorrect. The other options seem correct.
40 points for this question!!!
Answer:
Never
Step-by-step explanation:
It should be never since as the value of x increases, so does y.
If the y value increases as x increases, the function is said to be increasing.
If the y value decreases as x increases, the function is said to be decreasing.
Name three coplanar points on plane HGD.
The plane HGD contains at least three points
The three points on the plane are H, G and D
What are coplanar points?Coplanar points are at least three points that are in the same plane
How to name the points?The name of the plane is given as:
Plane = HGD
The above means that points H, G and D are on the plane HGD
Hence, the three points on the plane are H, G and D
Read more about coplanar points at:
https://brainly.com/question/1593959
Given that (-2,-2) is on the graph of f(x), find
the corresponding point for the function
f(x) +5.
Enter the correct answer.
Answer: The corresponding point for the function 4f(x) is (5 , 24)
Step-by-step explanation:
no
For each pair of similar figures, find the ratio of the area of the first figure to the area of the second.
answer:
[tex]\frac{4}{9}[/tex]
explanation:
the area of the larger square is 36 (6*6), and the area of the smaller square is 16 (4*4). to find the ratio of the area, simply just put 16 over 36 and simplify.
[tex]\frac{16}{36} = \frac{4}{9}[/tex]
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if this helped, please consider giving brainliest !
Express 10/1,000 as a decimal
Answer:
0.01
Step-by-step explanation:
hope this helps -_-
what is the measurement of angle p a 36B 64 c116 D 244
Answer:
b 64
Step-by-step explanation:
because p is just a mirror of o ,and o =64
What whole number should replace C so that the
three values are in ascending order?
27%, С/10, 0.36
Answer:
3
Step-by-step explanation:
3/10 = .3
In the first 3 hours of a concert, 2,100 people passed through the gates. How long will it take to fill a concert hall that has 2,800 seats?
Answer:
4 hours
Step-by-step explanation:
the rate of people coming in it 700 per hour