Total area of shaded region in trapezoid is 54.4in²
What is trapezoid?A trapezoid is a four-sided, quadrilateral shape with two parallel sides, which are called the bases, and two non-parallel sides, which are called the legs.
here, we have,
The formula for the area of a trapezoid is:
Area = (1/2) × (sum of the bases) × (height)
The Shaded region in trapezoid form right angled triangle.
Area of 1st shaded region=area of right triangle
=1/2×b×h
=1/2×6.8×7.4
=25.16in²
Area of 2nd shaded region=area of right triangle
=1/2×b×h
=1/2×6.8×8.6
=29.24in²
Hence, total area of shaded region in trapezoid is 54.4in²
To know more about trapezoid, visit:
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I only need the sale tax please!
Answer:
$5.97
Step-by-step explanation:
Answer:
$5.97
Step-by-step explanation:
Prime Factorization of 63 is 3 x 3 x 7.
What is the equivalent expression?
A. 23 x 7
B. 9x7
C. 32 x 7
D. 3x7
Answer: 9 x 7
Step-by-step explanation: 9 x 7 = 63
Hope this helps!
If you answer correctly I give brainliest
1)find the GCF
2)factor out the GCF
3)what are the solutions?
X1= and x2=
Answer:
10+10=20 +10=30
Answer:
GCF=X
FACTOR OUT X(5X+2)=0
X1=0 AND X2=-2/5
Step-by-step explanation:
The GCF is x . So when we factor it out we get
GCF =x
Factor out x (5x+2)=0
x1=0 and x2=-2/5
PLEASE MARK ME AS BRAINLIEST
Please help with this
Answer:
65
Step-by-step explanation:
List of sides in order from shortest to longest 
Answer:
x = 12
m∠A = 104º
m∠B = 32º
m∠C = 44º
shortest side = B
middle side = C
longest side = A
Step-by-step explanation:
Recall that all angles in a triangle add up to 180º. Also recall that the side opposite largest angle is the longest side, and vice versa for the side opposite the smallest angle.
One of the students is chosen at random. What is the probability that this student is wearing a watch or a braclet
Complete question :
At a certain school, 25% of the students wear a watch and 30% wear a bracelet. 60% of the students wear neither a watch nor a bracelet.
a) One of the students is chosen at random. What is the probability that this student is wearing a watch or a bracelet?
b) What is the probability that this student is wearing both a watch and a bracelet?
Answer:
0.40 ; 0.15
Step-by-step explanation:
Let :
w = watch
b = bracelet
P(W) = 0.25
P(B) = 0.3
P(either a watch or a bracelet) = P(WuB)
P(neither a watch nor a bracelet) = 1 - P(WuB)
1 - P(WuB) = 0.6
a.) probability that student is wearing a watch or a bracelet = P(WuB)
P(neither a watch nor a bracelet) = 1 - P(WuB)
0.6 = 1 - P(WnB)
P(WnB) = 1 - 0.6
P(WnB) = 0.4
B.) probability that student is wearing both a watch and a bracelet : P(WnB)
Using the probability relation :
P(WuB) = P(W) + P(B) - P(WnB)
0.4 = 0.25 + 0.30 - P(WnB)
0.4 = 0.55 - P(WnB)
P(WnB) = 0.55 - 0.40
P(WnB) = 0.15
How do I do this?????
Step-by-step explanation:
5÷ 6
7/15
Thanks me later ☺️
GUYS YOU NEED TO SEE THE NEWS THERES A BIG THING ATTACKING NY RN
Answer:
what????????????????
A probability is a number between 0 and 1 that reflects the likelihood of some outcome. According to the classical approach to assigning probability, the probability that an outcome occurs is interpreted as:
Answer:
Probability of an event [tex]=\frac{\textrm{Number of favorable outcomes}}{\textrm{Total number of outcomes}}[/tex]
Step-by-step explanation:
According to the classical approach to assigning probability, if an experiment has [tex]n[/tex] simple outcomes, this method would assign a probability of [tex]\frac{1}{n}[/tex] to each outcome. In other words, each outcome is assumed to have an equal probability of occurrence.
So, probability of an event [tex]=\frac{\textrm{Number of favorable outcomes}}{\textrm{Total number of outcomes}}[/tex]
Write the following equation symbolically.
The sum of h and 5 is equal to 8 less than 6 times y.
Answer:
h+5=(6y)-8
Step-by-step explanation:
The sum is addition. So it wants you to add h and 5 on one side. Do 6 and y in parentheses on the other side and it wants you to subtract 8 from what you got from 6 times y.
Hope this helped!!
9. Jacob ordered 4 pizzas to be delivered
.
Each pizza costs $12.75.
Jacob gave the driver an 58 tip when the pizzas were delivered
Which of the following expressions could be used to determine Jacob's total cost?
O A 4(12.75 + 8)
OB. 4 (12.75) +8
OC. 4 (8) + 12.75
OD. 4 (12.75 - 8)
Answer:
A
Step-by-step explanation:
i think because it would equal to a logical number and estimation for the total cost (total for that sum is 83)
The new video game that Greg wants to purchase is sold for $40 at Techno Hut and for $45 at Gamer World. If Greg has a 10% off coupon for all purchases at Techno Hut and a 15% off coupon for video games at Gamer World, which statement is true? A. After coupons, the game is the same price at both stores. B. After coupons, the game is $5.50 cheaper at Techno Hut. C. After coupons, the game is $2.75 cheaper at Gamer World. D. After coupons, the game is $2.25 cheaper at
Hey there!
The answer to your question is D.) After coupons, the game is $2.25 cheaper at Techno Hut
First, we will solve for the price of Techno Hut's game. Let's find the amount of the discount:
0.10 x 40
4
Then, we take the discount off the price:
40 - 4 = 36
The price of the game at Techno Hut is $36
Next, we find the price of the game at Gamer World. Let's find the amount of the discount:
0.15 x 45
6.75
Then, we take the discount off the price:
45 - 6.75 = 38.25
The price of the game at Gamer World is 38.25
Therefore, Techno Hut is cheaper.
Hope it helps! Good luck and have a great day!
I need the answer. Please hurry
Answer:
The answer would be D i hop this helps.
Step-by-step explanation:
BRAINLIEST PLEASE HELP AND YOU GET BRAINLIEST BRAINLIEST GET BRAINLIEST HELP ME FOR BRAINLIEST
Answer:
(-1 1/2,3
Step-by-step explanation:
Answer:
(-1 1/2,3)
Step-by-step explanation:
what is the answer to 5+5(9b - 7)
Answer:
Please check the explanation.
Step-by-step explanation:
Given the expression
5+5(9b - 7)
FIRST CASE (JUST EVALUATION)
Given the expression
[tex]5+5\left(9b-7\right)[/tex]
[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b-c\right)=ab-ac[/tex]
[tex]5+5\left(9b-7\right)=5+5\cdot \:9b-5\cdot \:7[/tex]
[tex]=5+45b-35[/tex]
[tex]= 45b - 30[/tex]
Therefore, we conclude that:
[tex]5+5\left(9b-7\right)=45b-30[/tex]
SECOND CASE (Finding the value of b)
Assuming we have to determine the value of b
[tex]5+5(9b - 7) = 0[/tex]
As we have determined
[tex]5+5\left(9b-7\right)=45b-30[/tex]
so substituting [tex]5+5\left(9b-7\right)=45b-30[/tex] in the equation
[tex]45b-30 = 0[/tex]
Add 30 to both sides
[tex]45b-30+30=0+30[/tex]
Simplify
[tex]45b=30[/tex]
Divide both sides by 45
[tex]\frac{45b}{45}=\frac{30}{45}[/tex]
Simplify
[tex]b=\frac{2}{3}[/tex]
Therefore, the value of b = 2/3
Please help 10 points
Answer:
The value of x is -2 and 2.
Step-by-step explanation:
When solve an expression, you have to make the expression equals to 0 by moving all the terms to one side :
x² - 3x - 1 = -3x + 3
x² - 3x - 1 + 3x - 3 = 0
x² - 4 = 0
Next, you have to factorize and solve it :
x² - 4 = 0
x² + 2x - 2x - 4 = 0
x(x + 2) - 2(x + 2) = 0
(x + 2)(x - 2) = 0
x + 2 = 0
x = -2
x - 2 = 0
x = 2
On a coordinate plane, point A is 7 units to the left. Point B is at (0, 0). Point C is 7 units to the right. Point D is 7 units up .Point E is 7 units down.
Which point is located at (0, –7)?
Answer:
E
Step-by-step explanation:
The point (0, 7) in located in the 1st quadrant
Which of the following disciplines is contributing to Organizational Behavior?
= Anthropology
Step-by-step explanation:
Anthropology is the real answer hshshshshs
help me please thank you very much
A sample of 14001400 computer chips revealed that 311% of the chips do not fail in the first 10001000 hours of their use. The company's promotional literature claimed that more than 28(% do not fail in the first 10001000 hours of their use. Is there sufficient evidence at the 0.050.05 level to support the company's claim
Answer:
There is sufficient evidence at 0.05 significant level to support company's claim.
Step-by-step explanation:
We have these informations from the question
n = 1400
P^ = 31% = 0.31
Alpha level = 5% = 0.05
Then we come up with the hypothesis
H0: P = 0.28
H1: P>0.28
From here we calculate the test statistic
z = p^ - p/√pq/n
P = 0.28
q = 1-0.28
= 0.72
z = 0.31-0.28/√(0.31*0.72)/1400
= 0.03/√0.0001594
= 0.03/0.012
= 2.5
Then we have a p value = 0.00621
The p value is less than significance level
0.00621<0.05
So the null hypothesis is rejected.
We conclude that There is sufficient evidence at 0.05 significant level to support company's claim.
which is an equation of the line graphed below
I will give you the brainliest
Answer:
h= 6.8
Step-by-step explanation:
Find an equation of the plane consisting of all points that are equidistant from (-1, 1, -5) and (4, -5, 0).
Answer: the required equation is 5x - 6y + 5z = 7
Step-by-step explanation:
Given that;
points : (-1, 1, -5) and (4, -5, 0).
mid point : ( [(-1+4)/2], [(1-5)/2], [(-5+0)/2]
⇒ midpoint : ( 3/2, -2, -5/2 )
x₀ y₀ z₀
Direction vector n = [4-(-1)], [ -5 - 1], [ 0 - (-5)]
⇒ Direction vector n = < 5, -6, 5 >
General equation plane : n(x-x₀, y-y₀, z-z₀) = 0
so we substitute
⇒ (5, -6, 5) (x-3/2, y-(-2), z-(-5/2) ) = 0
⇒ (5, -6, 5) (x - 3/2, y + 2, z + 5/2) ) = 0
⇒ 5(x - 3/2) - 6(y + 2 ) + 5(z + 5/2) = 0
⇒ 5x - 15/2 - 6y - 12 + 5z + 25/2 = 0
⇒ 5x - 6y + 5z = 15/2 + 12 - 25/2
⇒ 5x - 6y + 5z = 7
Therefore, the required equation is 5x - 6y + 5z = 7
3x+57+x-17=180
What does x equal? PLZ HELP
Answer: X= 35
Step-by-step explanation:
Combine like terms then factor them out
Write an equation in slope intercept form for a line that passed through the two points below (-4,7), (8,1)
What is 3 less than twice a number n?
Answer:
n^2-3
Step-by-step explanation:
Brenda pays $30 for materials to make earrings. She makes 10 earrings and sells 7 for $5 and 3 for $2. Write a numerical expression to represent this situation and then find Brenda's profit?
Factor −1/5 out of −1/5x−9.
Answer: 1/25 -9
Step-by-step explanation:
Answer:
- [tex]\frac{1}{5}[/tex] ( x + 45 )
Step-by-step explanation:
Given
- [tex]\frac{1}{5}[/tex] x - 9 ← factor out - [tex]\frac{1}{5}[/tex]
= - [tex]\frac{1}{5}[/tex] ( x + 45 )
Help ME out I need help on this Right noww
What is the inverse of y= 3/2x -2
Answer:
f^-1(x) = (2x + 4) / 3
Step-by-step explanation:
- switch 'y' with 'x'
x = 3/2y - 2
- solve for 'y'
x + 2 = 3/2y
- multiply each side by 2
y = (2x + 4) / 3