Answer: 32 ft²
Step-by-step explanation:
The area of a trapezoid is calculable using the formula:
= (a + b)/ 2 * height
Where a and b are the base lengths.
= (1 + 7) / 2 * 8
= 8/2 * 8
= 4 * 8
= 32 ft²
help me with this mathematic problem
Answer:
I dont know
Step-by-step explanation:
25300 rounded to the nearest 100
Answer:
25,300
Step-by-step explanation:
Its already rounded.
A local council is concerned that there are too many students for staff to look after in schools. There are 18 staff and 225 students in school A. a Write the staff : student ratio in the form 1 : n.
you have to find a number they are both divisible by to get it to simplest form. 18:225.
divide both by 3. 6:75.
you can divide it by 3 again.
answer: 2:25
The ratio of two quantities can be obtained by writing them as a fraction. The ratio in the form of 1 : n is given as 225 / 18.
What is the application ratio and proportion?A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.
Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.
Given that,
The number of staff in the school = 18
And, the number of students in the school = 225
Since, the ratio of two numbers a and b is given as a : b = a / b.
In the form of 1 : n it can be written as, a : b = 1 / (b / a).
Similarly, the ratio of staff and students n the form of 1 : n can be written as,
Staff : Students = 18 : 225
=> Staff : Students = 1 / (18 / 225)
=> Staff : Students = 225 / 18.
Hence, the ratio Staff : Students can be written in the form 1 : n as 225 / 18.
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somebody pleasee help me out, I’m having trouble
Answer: y = [tex]\sqrt{x} 203\\[/tex]
Step-by-step explanation:
A track and field coach wants to increase attendance at an all-star track meet. She will conduct a survey to determine which day most students would attend. Which survey method would best represent the total student body?
Answer:
Survey every student participating in after-school sports.
Step-by-step explanation:
What is 36 over 45 in simplest form
Answer:
4 over 5
Step-by-step explanation:
36 divided by 9 is 4 and 45 divided by 9 is 5. so the answer is 4/5
There are 60 seventh-grade students in William's school. The students need to choose someone to wear the mascot costume on field day. Huey and Sal are texting about it. Huey: We can give everyone a number from 1 to 60. The we can roll 10 number cubes and add it to the results. The person whose number is equal to the sum wears the costume. Sal: That doesnt seem fair how about this? Everyone gets a number from 0 to 59. Put blocks numbered 0 to 5 in a bag. In another bag, put blocks numbered 0 to 9. Pick a block from the first bag for the tens digit and a block from the second bag for the ones digit. A. Is Huey's plan unfair as Sal claims? If so, why is it unfair? B. Is Sal's plan fair or unfair? Explain your answer. HURRY ANSWERING THIS PLS THIS THING DUE BEFORE 11:59PM
Answer:
Step-by-step explanation:
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The sign of the leading coefficient for the polynomial equation of the graph is . This graph has turning point(s). Possible degrees for this graph include: 4 5 6 7
Answer:
negative
1
4,6
Step-by-step explanation:
Answer:
A&C
Step-by-step explanation:
Lei has a bag full of marbles. She draws one marble from the bag, notes the color, and then returns the marble to the bag. She repeats this process and makes a table with the results.
If there are 500 marbles in the bag, how many of them are most likely green?
Answer:
100000 olacak iyi dersler
Which does NOT represent the quotient of 17 ÷ 10? A. 1 7/10 B. 1 R7 C. 10/17 D. 1.7
Answer:
The answer is C
Step-by-step explanation:
Answer:
C. 10/17
Step-by-step explanation:
10/17 is less than the correct answer 1.7 so it is C.
PLZ HELP!!!! I JUST NEED AN ANSWER NOT AN EXPLANATION!!! I WILL GIVE BRAINLIEST TO THE CORRET ANSWER
Answer:
40/140 ≈ 0,2857 corresponds 28,57%.
What is the distance (in units) between points C and D? Round your answer to the nearest hundredth.
Given:
The two points on a coordinate plane are C(-5,-1) and D(0,3).
To find:
The distance between C and D.
Solution:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using the distance formula, the distance between C(-5,-1) and D(0,3) is
[tex]CD=\sqrt{(0-(-5))^2+(3-(-1))^2}[/tex]
[tex]CD=\sqrt{(0+5)^2+(3+1)^2}[/tex]
[tex]CD=\sqrt{(5)^2+(4)^2}[/tex]
[tex]CD=\sqrt{25+16}[/tex]
On further simplification, we get
[tex]CD=\sqrt{41}[/tex]
[tex]CD=6.40312424[/tex]
[tex]CD\approx 6.40[/tex]
Therefore, the distance between C and D is 6.40 units.
What is the sum of the digits in the expansion of (10^36+26/18)
Answer:
=177
Step-by-step explanation:
The sum of the digits in the expansion (10³⁶ + 26/18) will be 18.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ (10³⁶ + 26/18)
The sum of the digits in the expansion is given as,
⇒ 1 + 0 + 2 + 6 + 1 + 8
⇒ 18
The sum of the digits in the expansion (10³⁶ + 26/18) will be 18.
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The diagram shows a prism.
The cross section of the prism is a right-angled triangle.
The lengths of the sides of the triangle are 8 cm, 15 cm and 17 cm.
The length of the prism is 20 cm.
Work out the total surface area of the prism.
Diagram NOT
accurately drawn
8 cm
17 cm
20 cm
15 cm
Answer:
Total surface area of the prism = 920 cm²
Step-by-step explanation:
Given prism has 2 similar triangular surfaces and 3 rectangular surfaces of different dimensions.
Area of one triangular side = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
Area of 2 similar sides = Base × Height
= 8 × 15
= 120 cm²
Area of rectangular side with dimensions 17cm × 20cm
Area of the side = 17 × 20 = 340 cm²
Area of the second rectangular side with dimensions 8cm × 20cm
Area of the side = 8 × 20 = 160 cm²
Area of third rectangular side with dimensions 20cm × 15cm
Area of the side = 20 × 15 = 300 cm²
Total surface area of the given triangular prism = 120 + 340 + 160 + 300
= 920 cm²
Use trigonometric identities to simplify each expression.
1/cot^2 (x) - 1/cos^2(x)
Answer:
- 1
Step-by-step explanation:
[tex]\frac{1}{\cot ^2\left(x\right)}-\frac{1}{\cos ^2\left(x\right)}\\\\\mathrm{Use\:the\:basic\:trigonometric\:identity}:\quad \frac{1}{\cos \left(x\right)}=\sec \left(x\right),\\\frac{1}{\cot ^2\left(x\right)}-\sec ^2\left(x\right)\\\\\mathrm{Use\:the\:basic\:trigonometric\:identity}:\quad \frac{1}{\cot \left(x\right)}=\tan \left(x\right),\\\tan ^2\left(x\right)-\sec ^2\left(x\right)\\\\=> \frac{\sin ^2\left(x\right)}{\cos ^2\left(x\right)}-\frac{1}{\cos ^2\left(x\right)}\\[/tex]
[tex]=> \frac{\sin ^2\left(x\right)-1}{\cos ^2\left(x\right)}\\\\=> -\frac{\cos ^2\left(x\right)}{\cos ^2\left(x\right)}\\=> - 1[/tex]
Hope that helps!
By using trigonometric identities, [tex]\frac{1}{cot^{2}(x) } -\frac{1}{cos^{2}(x) }[/tex] = -1
What are trigonometric identities?"Trigonometric identities are equations that relate to different trigonometric functions and are true for any value of the variable that is there in the domain."
Given expression
[tex]\frac{1}{cot^{2}(x) } -\frac{1}{cos^{2}(x) }[/tex]
We know the trigonometric identity
[tex]{cot^{2}(x) } =( \frac{sinx}{cosx})^{2}[/tex]
= [tex]\frac{1}{(\frac{cosx}{sinx} )^{2} } -\frac{1}{cos^{2}(x) }[/tex]
= [tex]\frac{sin^{2} (x)}{cos^{2}(x) } -\frac{1}{cos^{2}(x) }[/tex]
= [tex]\frac{sin^{2}(x)-1}{cos^{2}x }[/tex]
= [tex]\frac{-(1- sin^{2}(x))}{cos^{2}x }[/tex]
We know the trigonometric identity
[tex]sin^{2}(x) +cos^{2}(x) = 1[/tex]
= [tex]\frac{-(cos^{2}x)}{cos^{2}x }[/tex]
= -1
Hence, [tex]\frac{1}{cot^{2}(x) } -\frac{1}{cos^{2}(x) }[/tex] = -1
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Solve for b. 3(b + -2-8=-5 what is the answer?
Equation/Question:
Solve for b. 3(b + -2)-8=-5 what is the answer?
Answer/Steps to answer:
1.Simplify b+-2 to b−2.
3(b−2)−8=−5
2. Add 8 to both sides.
3(b-2)=-5+8
3. Simplify -5+8 to 3.
3(b-2)=3
4. Divide both sides by 3.
b-2=1
5. Add 2 to both sides.
b=1+2
6. Simplify 1+2 to 3.
b=3
Done by NeighborhoodDealer
expand log7 (x^3/y)^3
a.) 9 log7 x + 3 log7 Y
b.) 9 log7 x - 3 log7 Y
c.) 9 log7 x - log7 Y
d.) 3 log7 x - 3 log7 Y
Answer:
A resposta é a C
Eu com certeza apostaria na c
Answer:
b.) 9 log7 x - 3 log7 Y
Step-by-step explanation:
[tex] log_{7}\bigg( \frac{ {x}^{3} }{y} \bigg)^{3} \\ \\ = 3log_{7}\bigg( \frac{ {x}^{3} }{y} \bigg) \\ \\ = 3log_{7} {x}^{3} - 3log_{7}y \\ \\ = 3 \times 3log_{7} {x} - 3log_{7}y \\ \\ = 9log_{7} {x} - 3log_{7}y \\ \\ [/tex]
[tex] - \frac{2}{3} + 4 \times \frac{1}{3} [/tex]
Answer:
2/3
Step-by-step explanation:
You first multiply 4x1/3 which equals 4/3. Now you do -2/3+4/3=2/3. Hope this helps!
Answer:
2/3
Step-by-step explanation:
[tex]\frac{-2}{3}+4*\frac{1}{3}=\frac{-2}{3}+\frac{4}{3}\\\\=\frac{(-2) + 4}{3}\\\\\\= \frac{2}{3}[/tex]
ax + 7 = 2x + b
Find x
Answer:
x = [tex]\frac{b-7}{a-2}[/tex]
Step-by-step explanation:
Given
ax + 7 = 2x + b ( subtract 2x from both sides )
ax - 2x + 7 = b ( subtract 7 from both sides )
ax - 2x = b - 7 ← factor out x from each term on the left side
x(a - 2) = b - 7 ← divide both sides by (a - 2)
x = [tex]\frac{b-7}{a-2}[/tex]
the value of a dirtbike increases by 30% each year if you purchased this dirtbike today for $500 to the nearest dollar how much will the bike be worth five years later
Answer:
$1856.47
Step-by-step explanation:
500 x 1.3^5=1856.465
One side of a rectangle is 9 inches longer than another side. If
the longer side of this rectangle decreases by 5 inches, and the
shorter side increases by 3 inches, the area of the new rectangle
equals the area of the original rectangle. Find the dimensions of the
original rectangle
Plz help
Answer:
6 and 15
Step-by-step explanation:
x^2 + 9x = x^2 + 7x +12
2x = 12
x = 6
The dimension of the original rectangles are 6 inche and 15 inches.
What is a rectangle?A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
We have,
Original rectangle:
Length = x + 9
Width = x
Area = (x + 9)x
New rectangle:
Length = (x + 9) - 5 = x + 4
Width = x + 3
Area = (x + 4)(x + 3)
Now,
(x + 9)x = (x + 4)(x + 3)
x² + 9x = x² + 3x + 4x + 12
9x = 7x + 12
9x - 7x = 12
2x = 12
x = 6
Now,
The dimension of the original rectangle.
x + 9 = 6 + 9 = 15
x = 6
Thus,
The dimensions of the rectangles are 6 inches and 15. inches
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Eleman sayısı 2 arttırıldığında alt küme sayısı 24 artan bir kümenin eleman sayısı kaçtır
Answer:
What?
Step-by-step explanation:
Hiiiooo! Can someone please help me if you can’t see the picture I will gladly explain it in the comments!
Answer:
b
Step-by-step explanation:
1.) Tyler runs 2/3 of a mile in 8 minutes. At this speed, how long will it take him to run one mile?
Answer:
12 minutes
Step-by-step explanation:
Since he ran 2/3 of a mile in 8 minutes, by dividing both sides by two we can see that he ran 1/3 in 4 minutes. 1/3 x 3 = 1 mile. 4 x 3 = 12 minutes
Answer:
1 mile in 12 minutes
Step-by-step explanation:
2/3 mile in 8 minutes
divide by 2
1/3 mile = 4 minutes
multiply by 3
1 mile in 12 minutes
I am unsure on how to solve x
Answer:
180-165= 15
(They tried to throw you off with the second line)
Answer is 15 degrees
Pls help ASAP An operation * is defined on the set of real numbers R by a*b=a³+b³ -3ab for all a,b is an element of R. Is the Operation * commutative
Answer:
The operation is commutative
Step-by-step explanation:
Operations
The * operation is defined on the set of real numbers R by
[tex]a * b=a^3+b^3-3ab[/tex]
For the operation to be commutative a*b should be equal to b*a.
Computing b*a:
[tex]b * a=b^3+a^3-3ba[/tex]
Rearranging:
[tex]b * a=a^3+b^3-3ab[/tex]
It's apparent that a*b=b*a, thus the operation is commutative
Alejandro makes cafe con leche using 2 parts string cofee and 3 parts whole milk
Answer: say what now?
Step-by-step explanation:
Jeremy wants to build a cage for his rabbits. The pet store suggests he build a cage in the shape of a rectangular prism with a floor space of at least 1,080 in.2 and a surface area of no more than 4,272 in.2. Which measurements could Jeremy use for his cage?
Answer:
Step-by-step explanation:
Urgent please help..
The graph of y=f(x) is the solid black graph below. Which function represents the dotted graph?
Not that hard, will give brainlist if correct
Answer: y = f(x - 4) - 1, lower left corner
=============================================================
Explanation:
Let's focus on only the left-most points of each curve
For the black semicircle, the left-most point is located at (-7,0). The corresponding point on the red semicircle is at (-3,-1)
To go from (-7,0) to (-3,-1), we will do two things
Shift 4 units to the rightShift 1 unit downThis can be done in any order. The action of "shift 4 units to the right" is effectively the same as shifting the xy axis 4 units to the left while keeping the curves fixed in place. This gives the illusion of movement. When we shift 4 the xy axis 4 units to the left, we're replacing each x input with x-4 as the new input.
In short, we go from f(x) to f(x-4). This is why we have this opposite motion going on.
The up and down motion is fairly straight forward. To shift 1 unit down, we subtract off 1. This is to subtract 1 from the y coordinate.
Overall, we go from y = f(x) to y = f(x - 4) - 1
Applying this transformation will move (-7,0) to (-3,-1) as described above. It will also move every other point on the black curve to their new corresponding location on the red curve.