Answer:
75.5
Step-by-step explanation:
First, the picture is not to scale.
The Area of the bottom (2) rectangle is 33
base x height = A
11 x 3 = 33 (where did I get 3? Total height of shape is 8. Trapezoid is 5)
(8-5 = 3)
Area of the trapezoid:
A = [tex]\frac{h (B_{1} + B_{2}) }{2}[/tex]
= [tex]\frac{(5)(6 + 11)}{2}[/tex]
= [tex]\frac{5(17)}{2}[/tex]
= [tex]\frac{85}{2}[/tex]
= 42.5
42.5 + 33 = 75.5
A board is 87 cm in length and must be cut so that one piece is 21 cm longer than the other piece. Find the length of each piece. Round your answers to the nearest centimeter, if necessary. * + 21?
Thank you for answer Yey can I answer in my subject
The chance of winning the race of the horse A is 1/15 and that of horse B is 1/6. What is
the probability that the race will be won by A or B.
Answer:
7/30
Step-by-step explanation:
P = 1/15 + 1/6 = (2+5)/30 = 7/30
PLS HELP QUICK I WILL GIVE YOU BRAINLIEST:
Given that angle abc=70° and angle bcd=110°. Is it possible (consider all cases): That line AB intersects line CD?
Answer:
Given that angle abc = 70° and angle bcd = 110°. Is it possible (consider all cases): That line AB intersects line CD?
yes.Step-by-step explanation:
#CarryOnLearning
When f(x) = 4 , what is the value of ?
A. 0
B. 2
C. 3
D. 4
What is the value of x if x/ 3 + 1 = -2 ?
An equation, f, has a domain of all whole numbers and has a range of all real numbers. A) Does the equation
represent a function? B) Explain why or why not. C) provide examples in either case, (and include your reasoning why
you chose this equation for your example.)
Answer:
f is not a function
Step-by-step explanation:
Given
Domain: Whole numbers
Range: Real numbers
Required
Is f a function
Base on the given parameters, f is not a function because:
There are more real numbers than whole numbers
And this implies that at least one element in the domain will have more than one corresponding elements in the range. i.e. one-to-many or many-to-many relationship
For a relation to be regarded as a function, the relationship has to be one-to-one or many-to-one
i.e. 1 or many domain elements to 1 element in the range.
An example is:
[tex]\begin{array}{ccccc}x & {1} & {9} & {9} & {0} \ \\ f(x) & {1.5} & {3.2} & {-3.5} & {0.1} \ \end{array}[/tex]
In the above function
The domain (i.e. x values) are whole numbers
The range (i.e. y values) are real numbers
However,
9 points to 3.2 and -3.5
So, the relation is not a function.
Consider the quadratic function y = 0.3 (x-4)2 - 2.5
Determine the axis of symmetry, x =
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
We have the quadratic function:
[tex]\displaystyle y=0.3(x-4)^2-2.5[/tex]
And we want to determine its axis of symmetry.
Notice that this is in vertex form:
[tex]y=a(x-h)^2+k[/tex]
Where (h, k) is the vertex of the parabola.
From our function, we can see that h = 4 and k = -2.5. Hence, our vertex is the point (4, -2.5).
The axis of symmetry is equivalent to the x-coordinate of the vertex.
The x-coordinate of the vertex is 4.
Therefore, the axis of symmetry is x = 4.
find the x-intercepts y=2x^2 + 5x + 2/x^2-4x+3
Answer:
[tex]{ \tt{y = \frac{2 {x}^{2} + 5x + 2}{ {x}^{2} - 4x + 3 } }} \\ x - intercept : y = 0 \\ { \tt{ \frac{2 {x}^{2} + 5x + 2 }{ {x}^{2} - 4x + 3 } = 0 }} \\ \\ { \tt{2 {x}^{2} + 5x + 2 = 0}} \\ x = \frac{1}{2} \: \: and \: \: x = - 2[/tex]
Round 1001 to the nearest thousand.
1000 is the correct answer !
Mackenzie earns 4% commission as a salesperson. She sold a digital camera that cost $767. How much commission did Mackenzie earn?
Answer:
like about $500 and because of the ca!erlsn
X is less than or equal to 2 Write in interval notation.
the first term of an arithmetic sequence is -5, and the tenth term is 13. find the common difference
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Equivalent question: Find the slope of line going through points (1,-5) and (10,13).
Line points up vertically and subtract. Then put 2nd difference on top of first difference.
(1,-5)
(10,13)
---------'subtracting
-9, -18
So the slope of the line gong through point's (1,-5) and (10,13) is -18/-9=2.
The common difference of an arithmetic sequence whose first term is -5 and whose tenth term is 13 is 2.
PLS HELP please give an explanation if you don’t have one pls still give answer
(a^2 - b^2)=???????????????????????????
[tex](a^2 - b^2) = (a + b)(a - b)[/tex]
What is the depth of water in a tank with 300,000 gallons of water at 70F when the pressure gauge at the bottom of the tank reads 23 psig?
Answer:
53.08 ft
Step-by-step explanation:
The pressure at the bottom of the tank, P = ρgh where ρ = density of water = 1000 kg/m³, g = acceleration due to gravity = 9.8 m/s² and h = depth of water in tank.
Since the pressure at the bottom of the tank, P = ρgh, making h subject of the formula, we have
h = P/ρg
Since P = 23 psig = 23 × 1 psig = 23 × 6894.76 Pa = 158579.48 Pa
Substituting the values of the other variables into h, we have
h = P/ρg
h = 158579.48 Pa/(1000 kg/m³ × 9.8 m/s²)
h = 158579.48 Pa/(9800 kg/m²s²)
h = 16.18 m
h = 16.18 × 1 m
h = 16.18 × 3.28 ft
h = 53.08 ft
8. Discount: An auto dealer paid $8730 for a
large order of special parts. This was not the
original price. The amount paid reflects a 3%
discount off the original price because the
dealer paid cash. What was the original price
of the parts?
Answer: 5,987
Step-by-step explanation:
Please help!!!!
I’m using Plato
1 by 4 ^ 256 is equal to 4 and 1 by 4 ^ 64 will be root 4 so here the answer will be 4 into 4 root 4
there option 4 will be correct
Find the slope of the line that passes through the two points 2,-4 & 4,-1
Answer:
Step-by-step explanation:
I have this saved on my computer in notepad b/c this type of question get asked sooo often :/
point P1 (-4,-2) in the form (x1,y1)
point P2(3,1) in the form (x2,y2)
slope = m
m = (y2-y1) / (x2-x1)
My suggestion is copy that above and save it on your computer for questions like this
now use it
Point 1 , P1 = (2,-4) in the form (x1,y1)
Point 2 , P2 = (4,-1) in the form (x2,y2)
m = [ -1-(-4) ] / [ 4-2]
m = (-1+4) / 2
m = 3 / 2
so now we know the slope is 3/2 :)
Which rule describes the transformation shown?
1. (x,y) → (-y, x+7)
2. (x,y) → (x+7,-y)
3. (x,y) → (-x, y+7)
4. (x,y) → (y+7, -x)
Answer:
2. (x,y) → (x+7,-y)
Step-by-step explanation:
Point A:
The original coordinate of point A was (-6,-6).
The coordinate after the transformation is A'(1,6), which eliminates option 3.
Point B:
The original coordinate of point B was (-2,4).
After the transformation, we have B'(5,-4), which eliminates option 1 and option 4. This means that the correct answer is:
2. (x,y) → (x+7,-y)
I have no idea how to do this, so if someone could at least do one of these I’ll be grateful <3
Answer:
Answers are below!
Step-by-step explanation:
(2 + g) (8)
= (2 + g) (8)
Add a 8 after the 2, and flip.
= (2)(8) + (g)(8)
= 16 + 8g
= 8g + 16
= (4) (8 + -5g)
Add another 4, then flip.
= (4) (8) + (4) (-5g)
= 32 − 20g
= - 20g + 32
−7 (5-n)
= (−7) (5 + -n)
Add another 7, then flip.
= (−7) (5) + (-7) (-n)
= −35 + 7n
= 7n - 35
Use the distributive property.
a (b + c) = ab + ac
a = 8
b = 2m
c = 1
= 8 × 2m + 8 × 1
Simplify, you get 16m + 8.
Use the distributive property.
a (b + c) = ab + ac
a = 6x
b = y
c = z
= 6xy - 6xz is the answer.
[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \\\:a\left(b+c\right)=ab+ac[/tex]
[tex]a=-3,\:b=2b,\:c=2a[/tex]
[tex]=-3\cdot \:2b+\left(-3\right)\cdot \:2a[/tex]
Apply minus plus rules.
[tex]=-3\cdot \:2b+\left(-3\right)\cdot \:2a[/tex]
Multiply the numbers.
3 x 2 = 6
Answer:
9. -35+7n
10. 16m+8
11. 6xy-6xz
Step-by-step explanation:
You multiplying the terms inside the ( ) by the outside factor.
This is call distributive property, a(b+c)=ab+ac.
Also, a(b+c)=(b+c)a by commutative property.
It also works over the operation subtraction since subtraction is just a disguised addition (addition of the opposite). That is, a(b-c)=ab-ac.
Anyhow, let's look at 9.,10., and 11..
9.
-7(5-n)
(-7)(5-n)
(-7)(5)-(-7)(n)
-35+7n
10.
8(2m+1)
(8)(2m)+(8)(1)
16m+8
11.
6x(y-z)
(6x)(y-z)
(6x)(y)-(6x)(z)
6xy-6xz
Hint on 7. It's like all the other problems. That is, it is equivalent to doing 8(2+g).
If you want comment below, if you want me to check any of yours or if you have any questions.
A decorative wall in a garden is to be built using bricks that are 5 1/2 inches thick and mortar joints are 1/4 inch thick. What is the height of the wall?
Step-by-step explanation:
SAVE
HOME HACKS & ANSWERSBUILDING & REMODELINGWALLS
How to Calculate How Many Bricks to Build a Wall
By KELVIN O'DONAHUE
Hunker may earn compensation through affiliate links in this story.
...
To estimate the number of bricks needed to build a wall, first measure a single brick.
A wall built from brick not only adds security and strength to your property, it also provides a pleasing geometric backdrop for the landscaping. Because of the bricks' size and weight, homeowners generally arrange to have the amount needed for a large project delivered by the masonry company or lumberyard. Doing so requires that you estimate the number of bricks needed before placing the order.
Step 1
Measure the length and thickness of one of the bricks that will be used in the wall. A standard brick is 2-1/4 inches wide and 7-1/2 to 8 inches long. Add 1/2 inch to both the length and thickness to account for the mortar joint between adjacent bricks. For example, a brick that is 2-1/4 inches by 7-1/2 inches, plus mortar joints, will occupy 2 3/4 inches by 8 inches.
Step 2
Measure the length of the space for the wall and convert the number to inches. Divide the length in inches by the length of a brick plus mortar joint. For example, a wall 36 feet, 8 inches long is 440 inches long (36 X 12 = 432 + 8 = 440). Each course (single layer) of bricks will need 440 / 8 = 55 bricks.
SAVE
HOME HACKS & ANSWERSBUILDING & REMODELINGWALLS
How to Calculate How Many Bricks to Build a Wall
By KELVIN O'DONAHUE
Hunker may earn compensation through affiliate links in this story.
...
To estimate the number of bricks needed to build a wall, first measure a single brick.
A wall built from brick not only adds security and strength to your property, it also provides a pleasing geometric backdrop for the landscaping. Because of the bricks' size and weight, homeowners generally arrange to have the amount needed for a large project delivered by the masonry company or lumberyard. Doing so requires that you estimate the number of bricks needed before placing the orderStep 3
Determine the desired height of the wall in inches, and divide the height by the thickness of a brick and mortar joint. For example, a wall 72 inches tall requires 26.18 courses of 2-3/4-inch-wide bricks; rounded up to 27 courses.
Step 4
Multiply the number of bricks per course (55) by the number of courses (27) to obtain the number of bricks in a single-thickness wall or veneer. For our example, the number is 1,485 bricks. Double that number for a double-thickness wall. Bricklayers generally add 5 percent to the estimate to cover broken or wasted bricks, for about 1,560 bricks in this case
what are the missing numbers ?
I only need the odd numbers answered
Answer:
1.a+4=11
a=7
2.6=g+8
g=2
3.
?
4.k+8=3
k=-5
5.j+0=9
j=9
6.12+y=15
y=3
7.h-4=0
h=4
8.m-7=1
m=8
9.w+5=4
w=-2
10.b-28=33
b=61
11.45+f=48
f=3
12.n+7.1=8.6
n=1.5
Hope This Helps!!!
The product of -3x and (2x+5) is …
[tex]\huge{\boxed{\boxed{ Solution ⎇}}} \ [/tex]
[tex] - 3x \times (2x + 5) \\ = - 3x \times 2x + - 3x \times 5 \\ = - 6x ^{2} - 15x[/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ ツ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
[tex] \huge\boxed{\mathfrak{Answer}}[/tex]
[tex] - 3x \times (2x + 5) \\ = - 3x \times 2x + - 3x \times 5 \\ = - 6x ^{2} - 15x [/tex]
Answer ⟶ - 6x² - 15x
Use the value of phi = 1.618 to predict the 23rd number in the Fibonacci sequence. The 22nd number in the sequence is 17,711.
- 10,946
- 17,711
- 22,897
- 28,656
Given:
[tex]\phi=1.618[/tex]
22nd number in Fibonacci sequence = 17,711
To find:
The 23rd number in the Fibonacci sequence.
Solution:
The nth term of a Fibonacci sequence is:
[tex]f_n=\dfrac{\phi^n-(1-\phi)^n}{\sqrt{5}}[/tex]
Substituting [tex]\phi=1.618, n=21[/tex], we get
[tex]f_{21}=\dfrac{(1.618)^{21}-(1-1.618)^{21}}{\sqrt{5}}[/tex]
[tex]f_{21}=\dfrac{(1.618)^{21}-(1-1.618)^{21}}{\sqrt{5}}[/tex]
[tex]f_{21}=10941.1724024[/tex]
[tex]f_{21}\approx 10941[/tex]
Now,
[tex]f_{23}=f_{21}+f_{22}[/tex]
[tex]f_{23}=10941+17711[/tex]
[tex]f_{23}=28652[/tex]
It is about 28,656. Therefore, the correct option is D.
Wade has a test score of 77% on his first test and 65% on his second test. What must he score on a third test to have an average of 80% overall?
93%
98%
89%
None of these choices are correct.
Answer: 98%
Step-by-step explanation:
The third test score = x[tex]\frac{77+65+x}{3} =80\\\frac{142+x}{3} =80\\142+x=80*3\\x=240-142=98[/tex]
What is the y-intercept of the graph of y = 2.5x? a. 2.5 c. 0 b. 1 d. -1
Answer:
answer is C
Step-by-step explanation:
General equation of a line is expressed as shown:
y = mx+c where;
m is the slope or gradient of the line
c is the intercept of the line
Given the equation of the line graph as y =2.5x
Comparing the given equation with the general equation, it is seen that m = 2.5 and c = 0 (since there is no value for the intercept)
Based on the explanation, the y-intercept of the graph is therefore 0
Answer:
B
Step-by-step explanation:
To find the x-intercept, substitute in
0 for y and solve for x
To find the y-intercept, substitute in 0 for x and solve for y
x-intercept(s): None
y-intercept(s): (0,1)
Keiko, Chang, and Abdul sent a total of 109 text messages over their cell phones during the weekend. Keiko sent 7 fewer messages than Chang. Abdul sent 4
times as many messages as Keiko. How many messages did they each send?
9514 1404 393
Answer:
Keiko: 17Chang: 24Abdul: 68Step-by-step explanation:
Let c represent the number of messages sent by Chang. Then Keiko sent (c-7) messages, and Abdul sent 4(c-7) messages. The total number sent was ...
c + (c -7) +4(c -7) = 109
6c -35 = 109 . . . . . . . . . . simplify
6c = 144 . . . . . . . . . . . add 35
c = 24 . . . . . . . . . . . divide by 6
c-7 = 17
4(c-7) = 68
Keiko sent 17, Chang sent 24, and Abdul sent 68 text messages.
Please help will mark brainliest!
Answer:
(d) ∠B≅∠D
Step-by-step explanation:
The last statement of any proof is a restatement of what is being proven. Here, that is ...
∠B≅∠D
Mr johnson sells erasers for $3 each. He sold 96 erasers last week and he sold 204 erasers this week.
A. $300 B $600 C $100 D $900
I believe your answer is D.) $900
204 + 96 = 300
300 x 3 = 900
I hope this is correct and helps!