Answer:
144 square inches
Step-by-step explanation:
Total surface area of the rectangular prism = Sum of all the area of its sides
Since it has a square base which can be covered by 16 squares of length 1 inch each, then;
length of its base = 4 inches
So that,
i. Area of its base = [tex]length^{2}[/tex]
= [tex]4^{2}[/tex]
area of its base = 16 square inches
ii. Area of one of the surfaces of its sides = length x width (or base x height)
= 4 x 7
= 28 square inches
Sum of the area of its vertical sides = 4 x 28
= 112 square inches
Thus,
Total surface area of the prism = 16 + 16 + 112
= 144 square inches
3. An ELA test is worth 100 points. There are a total of 26 questions. They are spelling word questions that are worth 2 points each and vocabulary word questions worth 5 points each. How many of each type of question are there? *
Answer:
There are 10 two point questions and 16 five point questions.
Step-by-step explanation:
x = the number of 2 points questionsy = the number of 5 points questionsx + y = 262x + 5y = 100x = 10 two points questionsy = 16 five points questionsLet's start form the product `x^{2}+11x+30,` and get back to the binomials we started with. Show your steps.
Answer:
Then, the polynomial [tex]x^{2}+11\cdot x + 30[/tex] is equal to the product of the binomials [tex](x+5)[/tex] and [tex](x+6)[/tex].
Step-by-step explanation:
The polynomial [tex]x^{2}+11\cdot x + 30[/tex] is a polynomial of the form [tex]x^{2} - (r_{1}+r_{2})\cdot x + r_{1}\cdot r_{2} = (x-r_{1})\cdot (x-r_{2})[/tex], where [tex]r_{1}[/tex] and [tex]r_{2}[/tex] are the roots of the polynomial. Then, we find the following system of equations:
[tex]-r_{1}-r_{2} = 11[/tex] (1)
[tex]r_{1}\cdot r_{2} = 30[/tex] (2)
After some algebraic handling, the solution of this system is [tex]r_{1} = -5[/tex] and [tex]r_{2} = -6[/tex].
Then, the polynomial [tex]x^{2}+11\cdot x + 30[/tex] is equal to the product of the binomials [tex](x+5)[/tex] and [tex](x+6)[/tex].
Can someone Please help Ill mark brainliest.
Michaela and Dema each multiplied 1/3 x 4/3. Michaela got 4/9 and Dema got 5/6. Which student found the correct answer? EXPLAIN
Answer: Michaela's answer
Step-by-step explanation:
Dema added the numbers together
Solve the simultaneous equation
Log(x-1)+2 log y=2 log 3
Log x + log y = log 6
Answer:
x = 2, y = 3
Step-by-step explanation:
Log x + log y = log 6 Log xy = Log 6 xy = 6
y = 6/x
Log(x-1)+2 Log y=2 Log 3
Log(x-1) = 2 Log 3 - 2 Log y = Log 3² - Log y² = Log 9 - Log y² = Log (9 / y²)
x - 1 = 9/y²
x - 1 = 9 / (6/x)² = 9 /(36/x²) = x²/4
4x - 4 = x²
x² -4x + 4 = 0
(x-2)² = 0
x = 2
y = 6/x = 3
Uriel's hiking stick is 3 2/3 feet long, and Nat's is 3 3/8 feet long. Whose walking stick is longer and by how much?
Answer:
Uriel's stick is LONGER by 7/24 feet
Step-by-step explanation:
Uriel's hiking stick is 3 2/3 feet long, and Nat's is 3 3/8 feet long. Whose walking stick is longer and by how much?
The above question is solved as
Uriel's stick - Nat's stick
= 3 2/3 feet - 3 3/8 feet
= 7/24 feet
Hence, Uriel's stick is LONGER by 7/24 feet
ABCD is a kite. Solve for x.
Plzzzzzzzzzzzzzzzz helllppppppp meeeeeeeeee
Answer:
-1
Step-by-step explanation:
5 to the 2nd power is the same as 5 times 5... so, 24 - 25 is -1.
I need help with my math homework it’s overdue someone please please help me
Answer: 2.5833
Step-by-step explanation:
K = 1/4 or .25
3/5 = .6
3 - 0.25 / .6 = 2.5833
PLEASE HELP!! A circle is divided into three central angles that have measures in the ratio 2:13:15. find the measure of the largest angle.
Answer:
First angle = 24'
Second angle = 156'
Third angle = 180'
Step-by-step explanation:
Given:
Ratio of circles angle = 2:13:15
Find:
All three angle
Computation:
Sum of all angle from center = 360'
So,
First angle = 360[2/(2+13+15)]
First angle = 360[2/(30)]
First angle = 24'
Second angle = 360[13/(2+13+15)]
Second angle = 360[13/(30)]
Second angle = 156'
Third angle = 360[15/(2+13+15)]
Third angle = 360[15/(30)]
Third angle = 180'
Simplify. Write your answer without parentheses
Answer:
y^20
Step-by-step explanation:
Whats the answer to this?
Step-by-step explanation:
area of figure = 5x² + 3
plz mark my answer as brainlist plzzzz.hope this will be helpful to you if you find it useful ☺️
Multiple choice. Use the Law of Sines to find the missing angle of the triangle. Find m angle C to the nearest tenth if c = 111 a = 42, and m angle A=22 .
A. 81.9
B. 98.1
Answer:
Both A and B are possible.
Step-by-step explanation:
It's both!
This is a might tricky. First you have to find the altitude. You have to determine if this is a real triangle.
Sin(22) = opposite / hypotenuse. The hypotenuse = 111. The angle is 22
opposite = hypotenuse * sin(22)
opposite = 111 * sin(22)
opposite = 41.58 and this is the altitude.
What have you learned?
Since 42 is larger than 41.58 you have 2 solutions to the triangle. One of the angles is acute, and the other one is obtuse. They are supplementary angles.
Sin(C) / c = Sin(A) / a
Sin(C) = c * Sin(22) / 42
Sin(C) = 111*sin(22)/ 42
Sin(C) = .99003
Sin(C) = 81.9
So that's your first answer. The second answer comes from Finding the supplement to this angle
supplement + 81.9 = 180
supplement = 180 - 81.9
supplement = 98.1
PLEASE HELP ASAP I WILL GIVE BRAINLILIST
Let () = −3(2)^ and () = − 14.
Complete the table to determine the solutions of () = −3(2)^ = () = − 14.
The solution of () = −3(2)
= () = − 14 is = ______
Step-by-step explanation:
-3. 2
-2. 1
-7. 6
i did my best.
What is m∠G to the nearest tenth?
Answer: The answer is 133.4 degrees.
Sorry if it’s wrong, and hopes this is helps.
The measure of the angle ∠G to the nearest tenth will be 31.6°.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
The length of the perpendicular is 28.2 units and the length of the base is 45.8 units, Then the measure of the angle ∠G is calculated as,
tan G = Perpendicular / Base
Substitute the value, then the angle is given as,
tan G = 28.2 / 45.8
tan G = 0.6157
G = 31.6°
The measure of the angle ∠G to the nearest tenth will be 31.6°.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
#SPJ2
Pam's eye–level height is 256 feet above sea level and Adam's eye–level height is 400 feet above sea level. What expression shows how much farther Adam can see to the horizon? In simplest terms, Adam can see a√b feet farther than Pam.
Answer:
B
A=2
B=6
Step-by-step explanation:
The expression that shows how much farther Adam can see to the horizon should be considered as the d = 400 - 256 and d = 256 - 400.
Calculation of the expression:Since
Pam's eye–level height is 256 feet above sea level and Adam's eye–level height is 400 feet above sea level.
So here the expression be like The expression that shows how much farther Adam can see to the horizon should be considered as the d = 400 - 256 and d = 256 - 400.
Learn more about an expression here: https://brainly.com/question/4700495
Factor completely x2 - 4x - 12
A. Prime
B. (x - 2)(x - 6)
C. (x + 2)(x - 5)
D. (x - 2)(x + 6)
can you explain how to do it?
Answer:
(x-6)(x+2) D
Step-by-step explanation:
first you need to see which two numbers add up to -4 and multiply to -12 which is -6 and 2
how many times can 10 go into 111? lol i need help
Answer:
11.1 times
Step-by-step explanation:
Answer:
11 times
Step-by-step explanation:
10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110
FIND THE 2 MISSING Y VALUES (brainliest)
Answer:
first blank 8, 2nd blank 12
Step-by-step explanation:
plug X into the equation to find y
y = -4(-2) = 8
y = -4(3) = -12
Can some one plz help me
Answer:
Step-by-step explanation:
A is midpoint of DB
DA ≅ AB ------------------(I)
B is midpoint of AE
BE≅ AB ---------------(II)
From (I) & (II)
DA ≅ AB
∠D ≅ ∠E Given
CD ≅ CE {Sides opposite to equal angles are equal}
ΔCDA ≅ ΔCEB { S A S congruent}
Answer:
AB = BA reflexive property
AB = BE and DA = AB definition of midpoint
then DA = EB
CD = CE ΔCDE is isosceles
ΔCDA ≅ ΔCEB SAS
Step-by-step explanation:
A basketball backboard set that sold for $79 is discounted 15% what is this sale price
Answer: $67.15
Step-by-step explanation:
ABCD is a rhombus. If AB = 2x + 12 , AC = 7x - 3, ∠=12°, and ∠= (4y - 1)°.
CD = __ .
Answer:
Step-by-step explanation:
ABCD is a rhombus. If AB = 2x + 12 , AC = 7x - 3, ∠=12°, and ∠= (4y - 1)°.
CD = __ .
What is an equivalent expression for 2s+(-4s) and what are way for me to remember how to do equations like these
Can you help me fast and show work plsssss I need it now
help me please! it would help so much! ill mark you brainliest if you're correct :)
Answer:
Chinese people live in harmony with nature.
I hope it helped!
HELP!!! Which is a solution to the equation?
(x −2)(x + 5) = 18
x = −10
x = −7
x = −4
x = −2
Mark this and return
Answer:x=-7
Step-by-step explanation:
Step-by-step explanation:
I'm not sure it's probably x=-2
A river guide buys protein bars and bottles of water for participants on a rafting trip. Including taxes, the river guide pays $ 2.50 for each protein bar and $ 1.25 for each bottle of water, spending a total of exactly $ 22.50 . Which combinations of protein bars and bottles of water are possible for the given amounts? Select ALL that apply.
Answer:
Step-by-step explanation:
2.50 for water
1.25 for protein bar interesting that is exactly half of the water
22.50 exactly was spent
I couldn't come up a slick equation, so I just applied some logic and used brute forced (trail and error) to solve the problem.
2.5Water + 1.25Protein = 22.5
8W + 2P = 22.5
6W + 6P = 22.5
4W + 10P = 22.5
2W + 14P = 22.5
There are the possible combinations of both protein bars AND water, since he bought both. He could have also bought 10 water or 18 protein bars, but that is not part of the combination.
Can anyone help me please ?
pls help asap!! will give brainliest
Answer:
i believe the answer is A 90
Step-by-step explanation:
help pls i don't know how to solve this
Answer:
x = - 8 and (- 8, 0 )
Step-by-step explanation:
Given a quadratic in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the equation of the axis of symmetry which is also the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
y = x² + 16x + 64 ← is in standard form, with
a = 1 and b = 16, then
x = - [tex]\frac{16}{2}[/tex] = - 8
Equation of axis of symmetry is x = - 8
Substitute x = - 8 into the quadratic and evaluate for y
y = (- 8)² + 16(- 8) + 64 = 64 - 128 + 64 = 0
vertex = (- 8, 0 )