Answer:
[tex]A=10cm^{2}[/tex]
Step-by-step explanation:
The formula to find the area of a trapezoid is,
Area = [tex]\frac{1}{2} *(a +b)*height[/tex]
(a+b) ⇒ Sum of the parallel sides
Let us solve now.
[tex]A =\frac{1}{2} *(a +b)*height[/tex]
[tex]A=\frac{1}{2} *(1\frac{1}{2} +3\frac{1}{2} )*4[/tex]
[tex]A=\frac{1}{2} *(\frac{3}{2} +\frac{7}{2} )*4[/tex]
[tex]A=\frac{1}{2} *(\frac{10}{2} )*4[/tex]
[tex]A=\frac{1}{2} *(5 )*4[/tex]
[tex]A=\frac{1}{2} *20[/tex]
[tex]A=10cm^{2}[/tex]
Hope this helps you.
Answer:
The area of trapezoid is 10 cm².
Step-by-step explanation:
Given :
[tex]\green\star[/tex] a = 1½ cm[tex]\green\star[/tex] b = 3½ cm[tex]\green\star[/tex] h = 4 cmTo Find :
[tex]\green\star[/tex] Area of trapezoidUsing Formula :
[tex]\star{\small{\underline{\boxed{\sf{\purple{Area_{(Trapezoid)} = \dfrac{1}{2}\Big(a + b\Big)h}}}}}}[/tex]
[tex]\orange\star[/tex] a + b = sum of parallel side[tex]\orange\star[/tex] h = height of trapezoidSolution :
Finding the area of trapezoid by substituting the values in the formula :
[tex]{\dashrightarrow{\sf{Area_{(Trapezoid)} = \dfrac{1}{2}\Big(a + b\Big)h}}}[/tex]
[tex]{\dashrightarrow{\sf{Area_{(Trapezoid)} = \dfrac{1}{2}\bigg(1 \dfrac{1}{2} + 3 \dfrac{1}{2}\bigg)4}}}[/tex]
[tex]{\dashrightarrow{\sf{Area_{(Trapezoid)} = \dfrac{1}{2}\bigg(\dfrac{(1 \times 2) + 1}{2} + \dfrac{(3 \times 2) + 1}{2}\bigg)4}}}[/tex]
[tex]{\dashrightarrow{\sf{Area_{(Trapezoid)} = \dfrac{1}{2}\bigg(\dfrac{2 + 1}{2} + \dfrac{6 + 1}{2}\bigg)4}}}[/tex]
[tex]{\dashrightarrow{\sf{Area_{(Trapezoid)} = \dfrac{1}{2}\bigg(\dfrac{3}{2} + \dfrac{7}{2}\bigg)4}}}[/tex]
[tex]{\dashrightarrow{\sf{Area_{(Trapezoid)} = \dfrac{1}{2}\bigg(\dfrac{3 + 7}{2}\bigg)4}}}[/tex]
[tex]{\dashrightarrow{\sf{Area_{(Trapezoid)} = \dfrac{1}{2}\bigg(\dfrac{10}{2}\bigg)4}}}[/tex]
[tex]{\dashrightarrow{\sf{Area_{(Trapezoid)} = \dfrac{1}{2}\bigg( \cancel{\dfrac{10}{2}}\bigg)4}}}[/tex]
[tex]{\dashrightarrow{\sf{Area_{(Trapezoid)} = \dfrac{1}{2}\Big( \: 5 \: \Big)4}}}[/tex]
[tex]{\dashrightarrow{\sf{Area_{(Trapezoid)} = \dfrac{1}{2} \times 5 \times 4}}}[/tex]
[tex]{\dashrightarrow{\sf{Area_{(Trapezoid)} = \dfrac{1}{\cancel{2}} \times 5 \times \cancel{4}}}}[/tex]
[tex]{\dashrightarrow{\sf{Area_{(Trapezoid)} =5 \times 2}}}[/tex]
[tex]{\dashrightarrow{\sf{Area_{(Trapezoid)} =10 \: {cm}^{2}}}}[/tex]
[tex]\star{\underline{\boxed{\frak{\red{Area_{(Trapezoid)} =10 \: {cm}^{2}}}}}}[/tex]
Hence, the area of trapezoid is 10 cm².
[tex]\rule{300}{1.5}[/tex]
Help me with this math question! Tysm if u do :3
Answer:
B. 4/5
Step-by-step explanation:
How many different four-digit numbers can be formed with the numbers 7; 4; 5; 1; 2; 9; and 8?
Answer:
If I'm correct, the answer is 1296.
Step-by-step explanation:
6 x 6 x 6 x 6 = 1296
Expression:
Value: 7/2
Answer:
Step-by-step explanation:
350% is your answer just 7/2×100= 350%
Please help! Only respond if known 100% (Don't mind my handwriting)
Answer:
Yes the y-intercept is -1 so True
Yes the rate of change or slope is 2 so True
And Yes the equation is not y=2x+1 it is suppose to be y=2x-1 so False
Step-by-step explanation:
Hope this Helps!
The function g(x) undergoes a reflection over the x-axis, a horizontal shift left 4 units, and a vertical shift down 2 units to become f(x).
Which equations describes f(x)?
a. f(x)=|−x+4|−2
b. f(x)=|−x−4|−2
c. f(x)=−|x+4|−2
d. f(x)=−|x−4|−2
please only answer if you know correct answer, I will give brainliest.
f(x) = -|x+4|-2
============================================================
Explanation:
The parent function is g(x) = |x| which is the absolute value function.
Reflect it over the y axis to get -|x|
Replace x with x+4 to shift the graph 4 units to the left. So we have -|x+4|
Lastly, tack on a -2 at the end to shift 2 units down
We'll end up with f(x) = -|x+4|-2 which is choice C.
The sequence of graphs, showing the step by step transformation process, is shown below.
The equation describes function f9x) will be f(x) = -|x+4|-2. The correct option is C.
What is an absolute function?
The non-negative value of a real number x without regard to its sign is known as its absolute value or modulus in mathematics and is indicated by the symbol |x|.
Given that function g(x) undergoes a reflection over the x-axis, a horizontal shift left 4 units, and a vertical shift down 2 units to become f(x).
The parent function is g(x) = |x| which is the absolute value function. Reflect it over the y-axis to get -|x|. Replace x with x+4 to shift the graph 4 units to the left. So we have -|x+4|. Lastly, tack on a -2 at the end to shift 2 units down
The final equation can be written as:-
f(x) = -|x+4|-2
Therefore, the equation describes function f9x) will be f(x) = -|x+4|-2. The correct option is C.
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if cos theta-sin theta=0 show that cosec theta=root over2
Answer:
The answer is in fact 6
Step-by-step explanation:
Yessir
Please Hurry) What is the length of side AC of the triangle? □ units.
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
[tex]\boxed{\mathrm{AC = 25 \:\: units ~}}[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
As we can see in the given figure, Angles A and B are equal. therefore their opposite sides will be equal to one another, that is ~
AB = BCnow, let's plug the values of AB and BC in terms of x and equate them to find the value of x ~
[tex]5x + 5 = 7x - 1[/tex][tex]7x - 5x = 5 + 1[/tex][tex]2x = 6[/tex][tex]x = 6 \div 2[/tex][tex]x = 3 \: \: units[/tex]now , let's find the measure of side AC ~
AC = 6x + 7that is ~
[tex]6(3) + 7[/tex][tex]18 + 7[/tex][tex]25 \: \: units[/tex]what is the nearest whole of 1.035
Answer:
1
Step-by-step explanation:
1.035 is not even close to 2. So, 1.035 rounds to 1.
Anything less than 1.5 goes down
Answer:
1
Step-by-step explanation:
anything under .5 rounds down
.035 is less than .5
HELP PLS, 22 POINTS.
Given: 2x+1/3=1
Prove: x = 1
Solve to correctly complete the proof.
2x+13=1 = Given
2x+1=3 =
2x = 2 =
x = 1 =
Answer:
2x+13=1, Given.
2x+1=3, multiplied both sides by 3.
2x=2, subtracted 1 from both sides.
x=1, divided both sides by 2.
NOTE: Your school may use special names for all of those proofs. If so, I don't know what they are. Sorry.
Step-by-step explanation:
For the first non-given statement, everything is over 3. A simple law of fractions is that the top number/s is being divided by the bottom, so all we need to do to reverse it is multiply it all by 3. This includes the other side.
For the second, it begins to get much easier as we've past the hardest step. Subtracting 1 from both sides gets us 2x = 2.
For the third, it is again easier. All that's left is to divide by 2 because that's what x is being multiplied by. After we do that, x turns out to be 1.
Las paletas de un ventilador a razón de 30 r.p.s. y se detiene en 10 s
Determinar el número de vueltas que ha dado hasta detenerse
The number of laps it has made to a stop is 300 laps
Given the following
The rate at which the fan blows = 30rps
The time it takes to blow = 10s
Required
number of laps it has made to a stop
Using the formula
Rate = Number of laps/time
30 = Number of laps/10
Number of laps = 30 * 10
Number of laps = 300
Hence the number of laps it has made to a stop is 300 laps
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José works 30 hours each week. At the end of 6 months (26 weeks), he has made $31,200. How much does José make per hour?
Answer:
$40
Step-by-step explanation:
Per week = $31200/26 = $1200
per hour = $1200/30 =$40
Question 3
4 pts
What is the radius of a circle that has a center at (2, -1) and goes through (2, 3).
Round to the nearest integer
Answer:
4
Step-by-step explanation:
yeah-ya........... right?
Part B: Explain what the inequality means in relation to the positions of these numbers on the number line. (4 points) milldle school
Answer:
I guess I would say if the sign points to the number its higher and you start from left to right
Plot two points to represent the temperatures -0.9°F and -1.2° on the number line
Red = -1.2°
Blue = -0.9 °
Answer Below:
The line represents the range of temperatures, and the points (-0.9°F and -1.2°F) are marked at their appropriate positions on the number line.
-1.2°F -0.9°F
|------------------|------------------|
A number line represents a range of numbers in order.
The numbers increase as we move to the right and decrease as we move to the left.
Now, we have to plot -0.9°F and -1.2°F on a number line:
-0.9°F:
Start at the origin (usually marked with 0), move slightly to the left, and place a point there.
This point represents -0.9°F.
-1.2°F:
Start at the same origin, move further to the left, and place another point there.
This point represents -1.2°F.
So, on the number line, we would have something like this:
-1.2°F -0.9°F
|------------------|------------------|
The line represents the range of temperatures, and the points (-0.9°F and -1.2°F) are marked at their appropriate positions on the number line.
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Point E is located at (8-,7) point F is located at (9,7). What is the distance in units between point E and point F?
Answer:
[tex]d=\sqrt{197}}[/tex]
Step-by-step explanation:
Use the distance formula to find the distance between two points.
[tex]d=\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}[/tex]
Plug in your coordinate points into x and y.
[tex]d=\sqrt{(9-8)^{2}+(7-(-7))^{2}}[/tex]
Solve for d.
[tex]d=\sqrt{(1)^{2}+(14)^{2}}[/tex]
[tex]d=\sqrt{197}}[/tex]
4 hours worked for R12 or 7 hours worked for R28
Rs earned for per hour.
[tex]4hr = 12 \\ \frac{12}{4} = 3rs \: per \: hour[/tex]
Whereas,
[tex]7hr = 28 \\ \frac{28}{7} = 4rs \: per \: hour.[/tex]
So, Rs 28 for 7 hrs is better than Rs 12 for 4 hours.
We would get ₹1 more
- BRAINLIEST answerer
PLEASE HELP !! EXPLAIN WITH STEPS
The magnitude, M, of an earthquake is represented by the equation M=2/3log (E/E0) where E is the amount of energy released by the earthquake in joules and E0=10^4.4 is the assigned minimal measure released by an earthquake.
To the nearest tenth, what would be the magnitude of an earthquake releasing 2.1⋅ 10^14 joules of energy?
Answer:
4.5*10^12
Step-by-step explanation:
5.5=2/3log(E/10^4.4)
8.25=log(E10^4.4)
10^8.25=E/10^4.4
E=10^4.4*10^8.25
E=10^12*4.5
Can a triangle be formed with side lengths 15, 20, and 24? Explain.
Answer:
Yes
Step-by-step explanation:
According to triangle inequality, the sum of any two side must be greater than the third side. So we take the two smallest side and find the sum
15 + 20 > 24
YES it can
Find the unknown value.
[tex] \frac{15}{?} = \frac{5}{10} \\ = \frac{5}{10} \times 15 \\ = \frac{5}{2} \times 3 \\ = 30[/tex]
x+2y =4 in y-int form?
3x+2y=0 in y-int form?
FAST PLS
Answer:
4/2 = 2 and 0/2 =0
Step-by-step explanation:
I think i'm not sure
Can you guys help meeeeeeeeeeeeee?
Answer:
o minutes5.10.15.20.25.30.35.40.45.50 minutes
a carpenter buys 144 boxes of nails. each box has 36 nails. how many nails does the carpenter buy?
Answer: 5,184
Step-by-step explanation:
Because each box has 36 nails in it, do 144x36=5,184
The sum of two numbers is 25 and their difference is 13. Find their product.
Step-by-step explanation:
x + y = 25
x - y = 13
x.y = ?
x + y = 25
y = 25 - x
x - y = 13
x - 25 + x = 13
2x = 13 + 25
2x = 38
x = 38/2
x = 19
y = 25 - x
y = 25 - 19
y = 6
(x, y) = (19,6)
So, find their product!!
= x.y
= 19 × 6
= 114
There are 130 people in a sport centre. 76 people use the gym. 60 people use the swimming pool. 32 people use the track. 23 people use the gym and the pool. 8 people use the pool and the track. 20 people use the gym and the track. 6 people use all three facilities. A person is selected at random. What is the probability that this person uses at least 2 facilities?
Answer:
64
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
no bot or link answer the question right, please
Answer:
nearest hundredth has come to close it so it will
Which is true about the solution to the system of inequalities shown? Y<1/3x-1 and y <1/3x-3
Answer:
The answer is B. All values that satisfy y <1/3 x – 3 are solutions.
Answer:
There are no solutions. Trust me.
Step-by-step explanation:
Because it doesnt make sense to me but i took this work on edge 2022
A race car is traveling at a constant speed of 200 miles per hour ( mph). How many miles will it travel in three hours?
Answer:
600 miles.
Step-by-step explanation:
You just multiply 200 by three.
Answer:
The reason is that 1mile is 200 so 200 times 3 is 600miles
Step by step solution. 9-1/2n=5+4n
Step-by-step explanation:
hope it's helps dear...
Mr Hiro's class has 24 students last year, this year it has 16 students.
1. Find the percent of change.
2. Is it a percent of increase or decrease?
Answer:
33.3% decrease (to 3sf)
Step-by-step explanation:
Percentage decrease = [tex]\frac{24-16}{24}[/tex] × 100%
= [tex]\frac{8}{24}[/tex] × 100%
= [tex]\frac{1}{3}[/tex] × 100%
= 33.3% (to 3sf)
The points J, K, L and M all lie on the same line segment, in that order, such that the ratio of JK : KL : LM is equal to 2:1:2. If JM=30, find JL.
JKLM forms a line segment. In this, the ratio of JK : KL : LM is equal to 2:1:2. We know that JM = 30 cm.
JK = 2x
KL = x
LM = 2x
JM = JKLM = 30 cm
JL (JK + KL) = 2x + x = 3x
So,
JL + LM = JKLM
3x + 2x = 30
5x = 30
x = 30/5
x = 6.
JL = 3x = 3 × 6 = 18 cm.
=》 JL = 18 cm.
_____
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