Answer:
[tex]\boxed{\bold{\huge{\boxed{Area\ of\ Trapezium = 150\ cm\²}}}}[/tex]
Step-by-step explanation:
Using Pythagorean Theorem first to find EC
[tex]\sf CB^2 = EB^2+EC^2\\Where \ CB = 13 \ and \ EB = 5 \\13^2 = 5^2 + EC^2 \\169 - 25 = EC^2 \\EC^2 = 144\\Taking \ sqrt \ on \ both \ sides\\EC = 12 \ cm[/tex]
Given that:
AE = EC
AE = 12 cm
Now,
AB = AE + EB
AB = 12 + 5
AB = 17 cm
ABCD is a trapezoid / trapezium
So,
Area of Trapezium = [tex]\sf \frac{AB+DC}{2} (EC)[/tex]
Where AB = 17 , DC = 8 and EC = 12
Area of Trapezium = [tex]\sf \frac{17+8}{2} ( 12)[/tex]
Area of Trapezium = (25)(6)
Area of Trapezium = 150 cm²
which of the following is a counterexample of the statement, "the sum of an odd number and an even number is always positive"? -4+3=1, 1+0=1, -2+5+3, 1+2=3
Answer:
first one -4+3 is -1 not 1
Answer:
The first one
−4+3=−1
I need the answer ASAP
Is it necessary to do all of the calculations to determine the sign of the product? Why or why not?
(-5) × (-5) x ... X (-5) = (-5)95
95 times
Please help I don’t understand
Answer:
= (- 475)
Step-by-step explanation:
Given:
(-5) × (-5) × ... × (-5) = (-5)95
Find:
Sign of the product
Computation:
(-5) × (-5) × ... × (-5) = (-5)95
= (- 475)
No, it is not compulsory to do all calculation to find sigh of product
Negative number × odd time = Negative number
Negative number × even time = Positive number number
The girl loves to go shopping.
Inference:
Answer:
you can infer she likes to dress up in whatever style she likes.
Step-by-step explanation:
“Y to the fourth Power” is what mathematical Expression? PLZ HELP ASAP 12 pts & Brainliest!
Answer:
[tex]Y^4[/tex]
Step-by-step explanation:
Given:
Y to the fourth Power
Required
Express using mathematical expression
In mathematics;
To the nth power means raise to the power of n
In this case;
to the fourth Power means raise to the power of 4
Hence;
Y to the fourth Power = Y raise to the power of 4
And this can be represented mathematically as:
[tex]Y^4[/tex]
Use the Order of Operations (O.O.O) to solve each expression.
(10-5) 2· 5)- 2 2
Find three consecutive integers such that the sum of the first and third is 22? need help with it
Answer:
Consecutive integers:
x
(x+1)
(x+2)
Now your equation is given by sum of the first and twice the third is equal to four times the second decreased by five:
x+2(x+2) = 4(x+1)-5
Step-by-step explanation:
Answer:
10, 11 and 12.
Step-by-step explanation:
Let the integers be x, x+1 and x+2. Then:
x + x+2 = 22
2x = 22 - 2 = 20
x = 20/2
x = 10.
1 If one leg of a right triangle is 3 meters, and the hypotenuse is 5 meters, what is the length of the
missing leg?
i'm gonna assume that "leg" refers to length of the triangle, so comment if you think it is wrong.
Now when it comes to a right-angled triangle, the pythagoras theorem formula can be used.
Using algebra,
let the missing length be X.
By pythagoras theorem,
5² = 3² + X²
5² - 3² = X²
X² = 5² - 3²
X = sq root ( 5² - 3² )
= 4 m
Therefore, the length of the missing leg is 4m .
Cierto banco emplea 59 personas en dos sucursales. De esta gente, 27 son universitarios graduados. Si una cuarta parte de las personas que laboran en la primera sucursal; y tres quintos de los que se encuentran en la segunda sucursal, son universitarios graduados, ¿cuántos empleados tiene cada sucursal?
Answer:
HI
Step-by-step explanation:
The area of a blackboard is 1 1 third square yards. A poster’s area is 8 over 9 square yards. What is the unit rate of the blackboard's area to the poster's area? (plz dont take points)
Step-by-step explanation:
(1 ⅓ yd²) / (8/9 yd²)
(4/3 yd²) / (8/9 yd²)
(4/3) × (9/8)
3/2
1.5 / 1
Answer:
[tex]\qquad {:}\longrightarrow\tt 1\dfrac {1}{3}=\dfrac{4}{3}[/tex]
Now answer[tex]\qquad {:}\longrightarrow\displaystyle\tt \dfrac {\dfrac {4}{3}}{\dfrac {8}{9}}[/tex]
Simplify[tex]\qquad {:}\longrightarrow\tt \dfrac {4}{3}\times \dfrac {9}{8}[/tex]
[tex]\qquad {:}\longrightarrow\tt \dfrac {36}{24}[/tex]
[tex]\qquad {:}\longrightarrow\tt \dfrac {3}{2}[/tex]
[tex]\qquad {:}\longrightarrow\tt 1.5 \:per\:unit[/tex]
What is f(1/3
F(1/3)=-3x+7
Answer:
6
Step-by-step explanation:
-3(1/3)+7
6...this is it
The quotient of a number n and 15
Answer:
n/15
Step-by-step explanation:
What is 18.84 rounded to the nearest 10th
18.84 rounded to the nearest tenth is 18.8.
Rounding to place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.
We can see that round a number to the nearest tenth, we need to look at the digit in the hundredth place. In this case, the number is 18.84.
Therefore, digit in the hundredth place is 4.
If the digit in the hundredth place is less than 5, we round down to the previous tenth. If it is 5 or greater, we round up to the next tenth.
Since 4 is less than 5, we round down. Therefore, 18.84 rounded to the nearest tenth is 18.8.
Learn more about rounding numbers here:
brainly.com/question/1285054
#SPJ6
(a) Estimate the number of boys at Hillview.
-34 -2p = 8(8 - 2p)
Answer:
p = 7
Step-by-step explanation:
Look at the picture hope this helps!
You guys please help with my most recent questions! I’m not the smartest Ik
Answer: i will help you the best that I can! :)
help me plspslsplpsl 42x^2+34-8-12
[tex]\bf Step-by-step~explanation:[/tex]
[tex]\bf Step~1:[/tex]
To solve this, we have to simplify these numbers by adding like terms.
[tex]42x^2+34-8-12\\\\(34-8=26, 26-12=14)\\\\42x^2+14\\[/tex]
[tex]\bf Step~2:[/tex]
Next, we factor our expression. To do so, we look for the greatest common factor of 42 and 14, which is 14. We know that because 42 divided by 14 is 3.
[tex]\frac{42}{14} =3[/tex]
[tex]\boxed{ \bf Our~final~answer: 14(3x^2 + 1)}[/tex]
What’s the simplified expression for the expression below 7(x - 4) - 3(x + 5)
Answer:
4 x + -43
Step-by-step explanation:
Simplify the following:
7 (x - 4) - 3 (x + 5)
Hint: | Distribute 7 over x - 4.
7 (x - 4) = 7 x - 28:
7 x - 28 - 3 (x + 5)
Hint: | Distribute -3 over x + 5.
-3 (x + 5) = -3 x - 15:
7 x + -3 x - 15 - 28
Hint: | Group like terms in 7 x - 3 x - 28 - 15.
Grouping like terms, 7 x - 3 x - 28 - 15 = (7 x - 3 x) + (-28 - 15):
(7 x - 3 x) + (-28 - 15)
Hint: | Combine like terms in 7 x - 3 x.
7 x - 3 x = 4 x:
4 x + (-28 - 15)
Hint: | Evaluate -28 - 15.
-28 - 15 = -43:
Answer: 4 x + -43
Answer:
4x – 43
Step-by-step explanation:
Help please ill paypal you!!!!!
Answer:
Step-by-step explanation:
Solve for a
6=a/4+2 Steps please ❤️
Answer:
a = 16
Step-by-step explanation:
6 = a/4 + 2
Switch sides.
a/4 + 2 = 6
Subtract 2 from both sides.
a/4 = 4
Multiply both sides by 4.
a = 16
2+3x=8 Solve for X?
Answer:
x=2
Step-by-step explanation:
Simplify:
7x + 5 - 4x - 16
can you please tell me the ans with the process
Answer: d) 6 e) 10 g) 900
Step-by-step explanation:
d) [tex]\sqrt{9610} = 98.0306[/tex]
98² = 9604
9610 - 9604 = 6
e) [tex]\sqrt{2906}=53.9073[/tex]
54² = 2916
2916 - 2906 = 10
g) 10 12 15
∧ ∧ ∧
2·5 2·2·3 3·5
The Perfect square is: 2² · 5² · 3² = 30²
30² = 900
How do I wrote Five less than the quotient of a number and 3 is -7
the answer is 3/n - 5 = -7
equation of a line, use the slope intercept formula for points (3,-6) and (5,8) including a check.
please help me learn instead of telling me the answer :)
i’ll show u what i have so far
Answer:
y=7x-27
Step-by-step explanation:
The equation of a line is given by y=mx+C where m is the gradient of the line or slope and c is the intercept on your axis. according to your question, you are given two point on (3,-6) and (5,8). so we can get the gradient m= Y2-Y1/X2-X1= gradient. so Y1= -6, Y2=8 , X1=3, X2=5
slope= 8-(-6)/5-3=14/2=7. so m=7....so the equation of line can be written in form y=7x+C. but we need to find C. C can be gotten from where the line passes through (3,-6) that is when x=3, y=-6. so we can find C from that point. -6=7(3)+C..so we have -6=21+C. C=-6-21=-27
so the equation of the line is y=7x-27
Point O is on line segment NP. Given OP = 10, NP = 2x, and NO = x +7,
determine the numerical length of NO.
Answer:
17.
Step-by-step explanation:
We know that NP = NO + NP because all the points are on the same line.
So 2x = 10 + (x + 7),
x = 17.
Answer: Its 8
Step-by-step explanation:
Debbie is running to raise money for a fundraiser. If her goal is to run 56 miles , how many days will debbie need to run if she runs 1.75 miles everyday
Answer:
32 days.
Step-by-step explanation:
56 / 1.75 = 56 / (7/4) = 56 * 4 / 7 = 32.
HELP FAST!
On a number line, suppose point E has a coordinate of - 4, and EG = 8. What are the possible coordinates of point G?
The possible coordinates for G are?
Answer:
G could be at either 14 or at -6.
Step-by-step explanation:
What is the answer? 7 = -5(n – 4) – 3.
PLEASE HELP FOR BRAINLIEST
I need to name the coordinates of each point on the graph. S, T, U, & V
For the first pic:
S= (3,4)
U= (-4,0)
V= (1,-2)
T= (-2,-3.5)
I hope this helped! Sorry if you get this wrong! :)