In the diagram, mZXYZ (Exterior Angle Y)=115º and
mZWXY (Angle X) = 45°.
What is m
Answer: 70 degrees
Step-by-step explanation:
What is the area of this figure?
Answer:
35 cm²
Step-by-step explanation:
Area of the 2 triangles combined:
1/2 x 4 x 5 = 10
Area of the square:
5 x 5 = 25
10 + 25 = 35
4×4 or 4×5 perimeter times area
HELP PLEASEEEEEEEEEEE
Answer:
the numbee from left to right :
-1.5
-0.25
0.75
1.25
2.25
Answer:
-3/2, -15%, 0.80, 143%, 2 1/4
Step-by-step explanation:
Convert the fractions into decimals:
2 1/4 = 2.25
-15% = -0.15
143% = 1.43
-3/2 = -1.5
0.80 = 0.80
The order from least to greatest is -3/2, -15%, 0.80, 143%, 2 1/4
Hope this helps :)
Solve the equation b(b+12) = 0. Check your solutions.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Here's the solution ~
[tex]\qquad \sf \dashrightarrow \:b(b + 12) = 0[/tex]
Here, we have two cases :
Case 1[tex]\qquad \sf \dashrightarrow \:b = 0[/tex]
Case 2[tex]\qquad \sf \dashrightarrow \:b + 12 = 0[/tex]
[tex]\qquad \sf \dashrightarrow \:b = - 12[/tex]
Hence, 0 and -12 are the only possible solutions for given equation.
Find the distance between FD
F=(4,6) D=(0,-1)
Answer:
Final answer -
[tex]d(FD) = \sqrt{65 } \: units[/tex]
hope helpful :D
A wall is 3600 sq ft.
A gallon of paint covers 600 sq ft.
Complete the conversion factor: 1 gallon / ? sq ft
Answer:
1 gallon / 600 sq ft
Step-by-step explanation:
As we can see, we are given that 600 sq ft uses one gallon to cover, therefore one gallon covers 600 sq ft (just vice versa of what's given).
For which values of c does the quadratic equation x^2−2x+c=0 have two roots of one sign?
The equation x^2−2x+c=0 is an illustration of a quadratic equation
The value of c is 1
How to determine the value of c?The equation is given as:
x^2 -2x + c = 0
A quadratic equation is represented as:
ax^2 + bx+ c = 0
When the quadratic equation has two roots of one sign, the following equation is true
b^2 =4ac
So, we have:
(-2)^2 =4 * 1 * c
Evaluate the exponent and the product
4 = 4c
Divide both sides by 4
c= 1
Hence, the value of c is 1
Read more about quadratic equations at:
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The answer to this problem is:
0<c<1
The Length Of A Room is two time its breadth and breadth is two time its height If The volume of room is 512m2 what is the cost of plastering its wall at rs 5.50 per m2
Answer:
Rs 2464
Step-by-step explanation:
Given:
The length of a room is 2 times its breadth and breadth is 2 times its height. The volume of the room is 512 cubic metre.To find:
The cost of plastering it's wall at Rs 5.50 per square metre.Solution : A/C to given data;
[tex]Length = 2 * Breadth\\L = 2 * B[/tex]---> (1) and [tex]Breadth = 2 * Height\\B = 2 * H[/tex]----> (2)
A/C to given data let, structure of room is cuboidal.
Now, we have to find out the height of the room, so we use formula of volume of the cuboid.
[tex]Volume of the room = L * B * H[from given data, and eq. {1} and eq. {2}][/tex]
[tex]512 = 2B * 2H * H[/tex]
[tex]512 = 2 * 2H * 2H * H[/tex]
[tex]512 = 4H * 2H^{2}[/tex]
[tex]512 = 8H^{3}[/tex]
[tex]H^{3} = \frac{512}{8}[/tex]
[tex]H^{3} = 64[/tex]
[tex]H = \sqrt[3]{64}[/tex]
[tex]H = 4 m[/tex]
[tex]Now, put\\ value\\ of \\H \\in \\eq. {2}[/tex]
[tex]B = 2 * H[/tex]
[tex]B = 2 * 4[/tex]
[tex]B = 8 m[/tex]
[tex]\\[/tex]Now, put value of B in eq. {1}
[tex]L = 2 * B[/tex]
[tex]L = 2 * 8[/tex]
[tex]L = 16 m[/tex]
Now, we have to find out area of the room, so we use formula of total surface area of cuboid.
[tex]Area of the room = 2*L*B + 2*L*H + 2*H*B[/tex]
[tex]Area of the room = 2 * 16 * 8 + 2 * 16 * 4 + 2 * 4 * 8[/tex]
[tex]Area of the room = 32 * 8 + 32 * 4 + 8 * 8[/tex]
[tex]Area of the room = 256 + 128 + 64[/tex]
[tex]Area of the room = 384 + 64[/tex]
[tex]Area of the room = 448 m^{2}[/tex]
Now, to find out room wall plastering cost
[tex]Room wall plastering cost = Area of the room * cost of plastering per ^{2}[/tex]
[tex]Room wall plastering cost = 448 * 5.50[/tex]
[tex]Room wall plastering cost = Rs 2464[/tex]
[tex]ence, the room wall plastering cost is Rs 2464.[/tex]
Joan has made four mistakes in her diagram. write down any three of them.
Answer:
dude
Step-by-step explanation:
how are you supposed to know but you are smart hopefully you will answer
7) A rectangle has a perimeter of 12y2 – 2y + 18 and has a width of 4y? – y +6. What is the
length of the rectangle?
Answer:
4
Step-by-step explanation:
(12y2-2y+18)/(4y2-y+6)=3-2+3=4
Gabrielle’s age is two time Mikhaïl’s age. The sum of their ages is 27. What is Mikhail’s age?
Mikhail is 9
Step-by-step explanation:
Divide 27 by 3 because G is 2 times than Mik. So G=2 Mik=1. and 27 divided 3 is 9
juan rolls a fair number cube twice what is the probability that he will roll an odd number on the first roll and an even number in second
Answer:
1/4
Step-by-step explanation:
[tex]\mathsf{Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ outcomes}}[/tex]
Assuming the number cube has faces number 1 through 6, the probability of rolling any of the number is 1/6.
Therefore,
P(odd number) = P(1) or P(3) or P(5)
= 1/6 + 1/6 + 1/6
= 3/6
= 1/2
Similarly,
P(even number) = P(2) or P(4) or P(6)
= 1/6 + 1/6 + 1/6
= 3/6
= 1/2
⇒ P(odd) AND P(even) = 1/2 × 1/2 = 1/4
find the rule to complete the pyramid.
Answer:
add two side by side values
Step-by-step explanation:
there are 5 values at the base of the pyramid.
4, 6, 3, 7 and 2
let's look at 6 and 3 first. when you add them together, you will get 9, which make up the upper layer of the pyramid. we can also support this statement when you add 7 with 2, which is also 9. so when you take 4 and add with 6, you will get 10, when you add 3 and 7, you will get 10.
now, let's see the second bottom layer. we get the answers as 10 in both blanks. so, add 10 with 9 and you will get 19, repeat with the other. so, the third layer will be 19, 19 and 19. to make the third layer complete, add 19 with 19, which will be 38. so, the fourth layer will be 38 and 38. add 38 with 38 and you will get 76 at the top of the pyramid.
A group of friends go out for a meal and the meal costs £148.
They are given a discount of 25% because of a mix-up on their orders.
How much discount did the group of friends receive?
£
Maria has 25 dollars. She has to buy a gallon of milk which costs $3.50. She wants to spend the rest of her money on cereal. If each box of cereal costs $4.50, how many can she purchase?
Step-by-step explanation:
total money she has = $25
she bought a gallon of milk for $3.50
amount remaining = 25-3.50 = $21.50
number of cereal she can buy with the remaining amount =21.50/4.50 = 4.77 boxes
she can buy 5 boxes (approximately)
the line y=ax-1 is parallel to the line by-(a+1)x=2. These two lines have the same distance to the origin. find a and b
By using the parallel condition and the fact that the distance to the origin is the same, we will see that a = 1 and b = 2.
How to find the values of a and b?First, remember that two lines are parallel if have the same slope and different y-intercept.
In this case, we know that
y = a*x - 1
b*y - (a + 1)*x = 2
Are parallel, if we write both of them in the slope-intercept form, we get:
y = a*x - 1
y = (a + 1)*x/b + 2/b
Note that because both of the lines are parallel, the slopes must be equal, then we have that:
(a + 1)/b = a
Then if we know that the distance of both lines to the origin is the same, we have that:
|-1/(√(a^2 + 1))| = | (2/b)/(√(((a + 1)/b)^2 + 1))|
Because the slopes are equal the denominators are equal, this means that:
|-1| = |2/b|
And the y-intercepts must be different, this means that:
b = 2
now we can solve:
(a + 1)/b = a
(a + 1)/2 = a
a + 1 = 2a
1 = 2a - a = a
a = 1 and b = 2.
If you want to learn more about linear equations, you can read:
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Help picture below problem 11
Answer:
48
Step-by-step explanation:
vertical angles are equal
Answer:
48
Step-by-step explanation:
This is because vertical angles (which is opposite of each other when the two lines cross) are congruent, meaning they have the same angles.
What is the length of BC?
24
36
48
30
Answer:
48/24
Step-by-step explanation:
You didn't say which one is line BC so I'm going to give you the answer 48 for the entire line but if you are asking for the middle point to end point then it is 24.
what ratio is equivilant to 4 : 5
Answer:
Any ratio where the original sides are both multiplied by the same number.
For example,
4 : 5 (your ratio)
4 x 2 : 5 x 2 (multiply both sides by a number)
8 : 10 (equivalent ration)
three subtracted from 5 x a number is -128. what is that number
A) translate the statement above into an equation that you can solve to answer this question.
do not solve it yet use x as your variable.
the equation is :
B)solve your equation [A} for x
answer for x
5-3x=-128
LHS = RHS
(5 - 3) x A = -128
( 2 ) x A = -128
2A / 2 = -128 / 2
A = -64
Farah has been saving money for years. Pearl's money is 3 times as much as
3
5
of Farah's money. They have $672 altogether. How much does Farah have now?
Answer:
$168
Step-by-step explanation:
x + 3x = 672
4x = 672
x = 672 / 4
x = 168
Farah has $168
Antonio weighs four pounds more than twice his brother weight. If Antonio weighs 97 pounds, how much does his brother weigh? Write and solve equation.
Answer:
The bother's weight is 46.5 lb.
Step-by-step explanation:
Let the brother's weight be b.
Antonio's weight is 2b + 4.
Antonio's weight is 97 lb.
2b + 4 = 97
2b = 93
b = 46.5 lb
Answer: The bother's weight is 46.5 lb.
Help picture below problem 15
Formula for Pythagorean theorem is a squared plus b squared equals c squared. The longest side is c and the rest is a and bb. Since we already have c we use formula a squared equals c squared minus b squared. AsquaredsquaredsquaredsquaredAsquaredsquaredsquaredsquared my thing is broken so I can't continuecontinue. Hope this helpshelps though
.............help me
Answer:
A Translation 2 units left and 1 unit down
Step-by-step explanation:
Damon has $200 in a savings account that earns 4% annually. The interest is not compounded. How much will he have in total in 1 year?
Andre drinks 15 ounces of water, which is 3/5 of the bottle. How much does the bottle hold? Use x for the number of ounces the bottle holds.
Step-by-step explanation:
15 = 3/5 x = 3x/5
75 = 3x
x = 25 ounces
X + 2x + 8 = X = 10 + 6
Answer:
x = 8/3
Decimal form: 2.66666666667
Step-by-step explanation:
Given:
[tex]x+2x+8=10+6[/tex]
Solution:
[tex]\mathrm{Add\:similar\:terms:}\:x+2x=3[/tex]
[tex]3x+8=10+6[/tex]
[tex]\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}[/tex]
[tex]3x+8-8=16-8[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]3x=8[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}3[/tex]
[tex]\frac{3x}{3}=\frac{8}{3}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x=\frac{8}{3}[/tex]
[tex]x=2.66666666667[/tex]
~lenvy~
Answer/Step-by-step explanation:
Base on the given we are..
Solving for x:
Solve:
X + 2x + 8 = X = 10 + 6 {x+2x= 3x}
3x + 8 = 10 + 6 {10+6=16}
3x + 8-8=16-8 {16-8=8}
3x = 8 {divide both sides by same term}
3x/3 = 8/3
Therefore,
x = 8/3
Decimal form = 2.66666666667
[RevyBreeze]
The principal P is borrowed at simple interest rate r for a period of time t. Find the loan's future value, A, or the total amount due at time t. Round answer to the nearest cent. P = $11,000.00, r = 9%, t = 150 days
well, if take a year to be 365 days so hmmm 150 days is really just 150/365 of a year, so let's use that.
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$11000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=years\to \frac{150}{365}\dotfill &\frac{30}{73} \end{cases} \\\\\\ A=11000[1+(0.09)(\frac{30}{73})]\implies A=11000\left( \frac{757}{730} \right)\implies A\approx 11406.85[/tex]
Consider the diagram.
Line l is a perpendicular bisector of line segment R Q. It intersects line segment R Q at point T. Line l also contains point S. Line segment R S is 3 x + 2. Line segment S Q is 5 x minus 8.
What is QS?
2 units.
5 units.
17 units.
33 units.
Answer:
A on edge
Step-by-step explanation:
:)
A triangle is a three-edged polygon with three vertices. The length of QS is equal to 17 units.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.
Given that the Line l is a perpendicular bisector of line segment RQ and bisects it at point T. Therefore, the length of the two lines is,
RT = QT
Now, in ΔRST and ΔQST,
RT ≅ QT
ST ≅ ST {Common side}
Now, since the two triangles are the right-angled triangle, therefore, the two triangles are congruent. Thus, we can write,
RS = SQ
Given that the Line segment, RS is 3x+2. Line segment SQ is 5x-8.
RS = SQ
3x + 2 = 5x - 8
2 + 8 = 5x - 3x
10 = 2x
x = 5
QS = 5x - 8
= 5(5) - 8
= 25 - 8
= 17 units
Hence, the length of QS is equal to 17 units.
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Consider the function f(x)=8x3−2. If f(g(x))=x and g(f(x))=x, find g(x)
I can give you a hint. So when we do the composition of functions, if we plug 2 functions into each other and get x by itself, that means the functions are inversely related.
For this problem, simply find the inverse of f(x).
If you are stuck, I could provide you with a solution below...
f(x) = 8x³ - 2
y = 8x³ - 2
y + 2 = 8x³
(y + 2)/8 = x³
cube root((y + 2)/8) = x
g(x) = cube root((x + 2)/8)
The value of function g(x) after solving will be ∛(x + 2) / 2.
What is Function?
A relation between a set of inputs having one output each is called a function.
Given that;
The value of function,
f(x) = 8x³ − 2
And, f(g(x)) = x and g(f(x)) = x
Now,
Since, f(g(x)) = x
And, f(x) = 8x³ − 2
The substitute x = g (x) in above equation we get;
f (g(x)) = 8 (g(x))³ - 2
x = 8 (g(x))³ - 2
Add 2 both side;
x + 2 = 8 (g(x))³
Divide by 8;
(x + 2)/8 = (g(x))³
Take cube root both side;
∛(x + 2)/8 = g(x)
g(x) = ∛(x + 2) / 2
So, The value of function g(x) after solving will be ∛(x + 2) / 2.
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