Answer:
Option G: 27 inches.
Step-by-step explanation:
When we have a trapezoid with bases:
B₁ and B₂, the median of the trapezoid can be calculated as:
M = (B₁ + B₂)/2
In this case, we know that the bases are:
B₁ = 30 in
B₂ = 24 in
Then the median is:
M = (30in + 24in)/2 = 54in/2 = 27in
The correct option is G.
A chessboard is made of small squares of equal side lengths. If the perimeter of the chessboard is 20 cm, what could be the value of (a+b)?
a. 10 cm
b. 6 cm
c. 8 cm
d. 11 cm
i rlly need help on this question and you won’t help
Answer:
lol wheres the question
Step-by-step explanation:
a tree cast a 25 foot shadow on a sunny day, if the angle of elevation from the tip of the shadow to the top of the top of the tree is 32 degrees, what is the heights of the tree to the nearest tenth of a foot?
Answer:
Tree height is 15.6 ft
Step-by-step explanation:
Picture a triangle with horizontal side 25 ft and angle 32 degrees on the left. Then the following is true:
x
tan 32 = 0.625 = --------------------- or x = (0.625)(25 ft) = 15.6 ft
25 ft
Binomial Coefficients (30pts) 1. Write (a + b)^2 as a polynomial in standard form. Show work (FOIL/distributive property).
Answer:
[tex]a^2 + 2ab + b^2[/tex]
Step-by-step explanation:
Given
[tex](a + b)^2[/tex]
Required
Express as a standard polynomial
We have:
[tex](a + b)^2[/tex]
Rewrite as:
[tex](a + b)(a + b)[/tex]
Open bracket
[tex]a^2 + ab + ab + b^2[/tex]
Add like terms
[tex]a^2 + 2ab + b^2[/tex]
Find the area of the compound figure. Round your answer to 2 decimal places if required. (Use π = 3.14)
Hello! I’ve been stuck on this problem for a while and—though I know the answer—I’m not sure how to get to it? Please help!
Answer:
Perimeter is 3 + 3 +3 +4 +5 = 18 feet
Area = 3*3 = 9, 1/2*3*4 = 6, 9 + 6 =15 square feet
perimeter = 2.5 +2.5+ 2.5+2.5+0.5+0.5 = 11 meters
Area = 3*.5 = 1.5, 3*2=6, 6+1.5 = 7.5 square meters
perimeter = 3.14*2*3 = 18.84 +8 = 26.8 inches
Area = 6*4 = 24 + 3.14*3^2 = 28.26 = 28.26 +24 = 5
PLEASE HELP WHAT IS THE DISTANCE AND DISPLACEMENT WILL MARK U BRAINLIEST
Answer:i do not know
Step-by-step explanation:
FIND ANDGLE RPQ
THE NUMBER ON TOP IS 98 and the bottom is 110
Answer:
152
Step-by-step explanation:
this is because there is 360 degrees in a circle and if you subtract 98 and 110 from 360 you get 152.
х
110°
70°
у
x = [? ]
Answer:
I believe it's 180 or 90
180?
Find the area. THIS IS REALLY IMPORTANT. NEED ASAP!!
Answer:
1246cm
Step-by-step explanation:
26*10=260
29*34=986
986+260=1246
Graph to solve the system:
y= 2x- 1 and y = -x + 5
At what x-value are the equations equal?
Answer:
Step-by-step explanation:
A furniture store sells kits that customers use to build cabinets. Each kit contains 18 screws and a set number of boards.
Jarred buys 6 of these kits and has a total of 192 screws and boards. The equation shown represents this situation.
6(x + 18) = 192
What does the variable x represent in Jarred's equation?
A)the number of screws in all 6 kits
B)the number of screws in one kit
C)the number of boards in all 6 kits
D)the number of boards in one kit
Answer:
C or D cause A B doesnt make sence its d
Step-by-step explanation:
Kaia's mom is having triplets. Each baby could be either male or female
Which outcome would be included in the compound event more than one
male"?
First Second Third
baby baby baby
M
Sample space
outcomes
MMM
F
MMF
MEM
A. MFM
B. FFM
C. MFF
D. FMF
Answer:
MMM
Step-by-step explanation:
Given
See attachment for elements of the sample space (in a probability tree)
Required
Which of MMM, FFM, MFF, FMF represents more than one male?
From the question, we understand that:
[tex]M \to Male[/tex]
[tex]F \to Female[/tex]
So, for an event to represent more than 1 male, there must be an occurrence of at least 2 M (i.e 2 M or 3 M)
From the given options, only MMM has more than 1 M.
Hence, MMM represents more than one Male
PLEASE HELP WILL MARK BRAINLIEST
Answer:
[tex]1) B[/tex]
[tex]2)\ B[/tex]
[tex]3)\ B[/tex]
[tex]4)\ C[/tex]
Step-by-step explanation:
1)
Let's use the Pythagorean Theorem:
[tex]X^2 + 13^2 = 21^2[/tex]
[tex]X^2 + 169 = 441[/tex]
[tex]X^2 = 272[/tex]
[tex]X= \sqrt{272} = 4\sqrt{17} = 16.5[/tex]
2)
Let's use the Pythagorean Theorem:
[tex]16^2 + 28^2 = x^2[/tex]
[tex]x^2 = 1040[/tex]
[tex]x = \sqrt{1040} = 4\sqrt{65} = 32.2[/tex]
3)
Let's use the Pythagorean Theorem:
[tex]7^2 + 24^2 = 25^2[/tex]
As this equation is correct, these three lengths could be used in a right triangle.
4)
Let's use the Pythagorean Theorem:
[tex]7^2 + 24^2 = 25^2[/tex]
As this equation is correct, these three lengths could be used in a right triangle.
Given y varies inversely as x, and y = 5 when x = 9. Write the inverse function
Answer:
y = 45/x
Step-by-step explanation:
Given y varies inversely as x, then;
y = k/x
If y = 5 when x = 9
5 = k/9
k = 5*9
k = 45
Substitute into the formula above;
y = k/x
y = 45/x
Hence the required inverse function is y = 45/x
Doris bought 15 yards of fabric for
$7. How much do 6 yards of the same
fabric cost?
Show by a rough sketch that there are four points which are at a distance of 2cm from the
given line AB and 3cm from the point A.
Answer:
.........................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................
Step-by-step explanation:
Which expression can be substituted for y in the top equation of the
following system to solve the system by substitution? What is the solution?
3x - 5y = 1
3x - y = -7
I currently cannot download any files.
Answer:
Y=7+3x, x=-3, y=-2
Step-by-step explanation:
3x-5y=1. Equation 1
3x-y=-7. Equation 2
-y=-7-3x isolate for y in equation 2
y=7+3x multiplied by -1 to get positive y
3x-5(7+3x)=1 substitute y value of equation 2 (7+3x) into equation 1
3x-35-15x=1
-12x=36
x=-3
solve for y.
3x-5y=1
3(-3)-5y=1
-9-5y=1
-5y=10
y=-2
There are 95 candies in the dish.19 of the candies are chocolate. What percent of the candies are left
Answer:
80%
Step-by-step explanation:
20% of the candies are chocolate, leaving the rest of the 80%
solve the equation. which out of the four choices is correct
Catherine owns a bakery. She takes x minutes to bake a tray of cookies. The time it takes
is less than 18 minutes. Which inequality represents this?
A. 18 > x
B. x = 18
C. X > 18
D. 18.< x
Guys I’ll give u the brainliest answer I just need the answer pls hurry!!!!
Answer:
Gartner = average of 25
Water = average of 31.5
(both have a variation of 20)
Step-by-step explanation:
what is the percent of increase from 600,000 to 900,000?
Answer: 50%
Step-by-step explanation:
simplify 3/36 will choose brainliest
Answer:
3/36 simplified is 1/12
Hope this helps!
Find x for this problem
11
11
10
Step-by-step explanation:
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
100 POINTS!!!
A triangle with vertices at A(20, -30), B(10,-15), and C(5,-20) has been dilated with a center of dilation at the origin.
The image of B, point B', has the coordinates (2, -3). What is the scale factor of the dilation?
05
5
10
Answer:
5
Step-by-step explanation:
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
Angle 4 is ∠A
Step-by-step explanation:
Cos(A) = adjacent / hypotenuse
=> Angle 1: Cos(1) = 40 / 41, or 0.98 (so this is not ∠A)
=> Angle 2: Cos(2) = 9 / 41 or 0.22 (This isn't ∠A either)
=> Angel 3: Cos(3) = 24 / 25 or 0.96 (Not ∠A)
=> Angel 4: Cos(4) = 7 / 25 or 0.28 (This is Angle A, since Cos(A) = 0.28)
Therefore; Angle 4 is ∠A
Hope this helps!
Answer:
Can't type the Full solution
I'll solve for the triangle with angles 1 and 2
You can go for the rest.
CosA = 0.28
Taking the cos-¹(0.28) to determine its Magnitude
A=73.74°
Now
We can use sine Rule to get the values of each of the other angles in the triangle
For the first triangle
Applying sine rule
What basically happens in the rule is... Each side divided by the angle opposite it.
Look below
The angle opposite 40cm is angle '2' and the angle opposite 41cm is 90°
We have this sine rule when all three sides are given with ONE ANGLE(90° is the given angle in this case)
So
Each side over the angle opposite it
We go!!
Let's call angle "2" an alphabet. Say Q
41/sin90 = 40/SinQ
SinQ = 40sin90/41
Recall sin90=1
SinQ = 40/41
Q= Sin-¹(40/41)
Q= 77.32°
so angle 2 is 77.32°
Now apply this to get others
Angle '1' should be 12.68°
Angle "3" should be 16.26°
Angle "4" should be 73.74°
Therefore
conclusion
Angle "4" is same as A. That's the angle we looking for
Option 4 IS CORRECT!!
Neva is training for a race. This week, she bikes 5.5 times as far as she runs. Her total distance running and biking this week is 26 mi. How far does Neva run this week?
Answer:
Run = 4 miles
Biked = 22 miles
Step-by-step explanation:
Given :
Let :
Number of miles ran = x
Number of miles biked = 5.5x
Total run and bike distance = 26 miles
Thus ;
x + 5.5x = 26
6.5x = 26
x = 26/6.5
x = 4
Total miles run ; x = 4 miles
Total miles biked, 5.5x = 5.5*4 = 22 miles
In
group of 100 persons, 72 people can speak
English and 43 can speak French. How many
can speak English Only, How many can speak
French Only and how many can speak both English and French
Step-by-step explanation:
Let A be the set of people who speak English.
B be the set of people who speak French.
A - B be the set of people who speak English and not French.
B - A be the set of people who speak French and not English.
A ∩ B be the set of people who speak both French and English.
Given
n(A) = 72 n(B) = 43 n(A ∪ B) = 100
Now, n(A ∩ B) = n(A) + n(B) - n(A ∪ B)
= 72 + 43 - 100
= 72 + 43 - 100
= 115 - 100
= 15
Therefore, Number of persons who speak both French and English
= 15
n(A) = n(A - B) + n(A ∩ B)
⇒ n(A - B) = n(A) - n(A ∩ B)
= 72 - 15
= 57
and n(B - A) = n(B) - n(A ∩ B)
= 43 - 15 = 28
Therefore, Number of people speaking English only = 57
Number of people speaking French only = 28
Let A be the set of people who speak English.
B be the set of people who speak French.
A - B be the set of people who speak English and not French.
B - A be the set of people who speak French and not English.
A ∩ B be the set of people who speak both French and English.
Given
n(A) = 72 n(B) = 43 n(A ∪ B) = 100
Now, n(A ∩ B) = n(A) + n(B) - n(A ∪ B)
= 72 + 43 - 100
= 72 + 43 - 100
= 115 - 100
= 15
Therefore, Number of persons who speak both French and English
= 15
n(A) = n(A - B) + n(A ∩ B)
⇒ n(A - B) = n(A) - n(A ∩ B)
= 72 - 15
= 57
and n(B - A) = n(B) - n(A ∩ B)
= 43 - 15 = 28
im not sure if its right but- q-q
PLS HELP i have to finish this tonight
Answer:
D.480 Ft/S
Step-by-step explanation:
um, Just ask your teacher if you don't understand:P
4x-3=2x+7 please help shdjdjsjsjsndjxj
Answer:
x=5
Step-by-step explanation:
Step 1: Subtract 2x from both sides.
4x−3−2x=2x+7−2x
2x−3=7
Step 2: Add 3 to both sides.
2x−3+3=7+3
2x=10
Step 3: Divide both sides by 2.
x=5
And theres our answer.
Hope this helped! :)
Answer:
x=5
Step-by-step explanation:
4x-3=2x+7
4x-2x= 7 +3
2x=10
2x/2=10/2
x=5