Answer:
26.2 cm
Step-by-step explanation:
Area = (b1 + b2)/2 * h
401.92 = (x + 14.4)/2 * 19.8
Divide each side by 19.8
20.2989 = (x + 14.4)/2
Multiply each side by 2
40.6 = x + 14.4
Subtract 14.4 from each side
x = 26.2
Answer:
116.82
Step-by-step explanation:
Since your trying to find a missing base
19.8 x 14.4= 285.12
401.94-285.12=116.82
Hopes This Helps
Plz help me! 25 POINTS!
Answer:
g(x) = 24(2^(x-1)) +16
Step-by-step explanation:
A function is stretched vertically by a factor of 'a' by multiplying by 'a'.
g(x) = 4·f(x) = 4(6(2^(x-1) +4)
g(x) = 24(2^(x-1)) +16
Which number line shows the estimate of V47 in the correct interval of integers?
0 1 2 3 4 5 6 7 8 9 10
0 1 2 3 4 5 6 7 8 9 10
0 1 2 3 4 5 6 7 8 9 10
Answer:
B (the second number line)
Step-by-step explanation:
[tex]\sqrt{49}[/tex] = 7, so [tex]\sqrt{47}[/tex] would be close to 7
(1)Pradnya had 5 dozen copies. She gave half of the copies to Anushka and 1/5 times of the copies to Prajwal. How many copies are remaining with her ?
(2) Shrikant bought a watch at Rs. 900. He gave equal number of notes of denomination Rs. 10, Rs. 20, Rs. 50 and Rs. 100. Find the number of notes of Rs. 20 that he gave to the shopkeeper.
(3) Mangalakaku purchased 6016 saplings of lemon. She planted 47 saplings in each row. How many rows will be formed of those saplings?
Explanation:
(i)Total number of copies are at Pradnya = 5 dozen
We know that 1 dozen = 12
⇛5×12 = 60
Given copies to Anushka = half of 60
⇛60/2 = 30 copies
Given copies to Prajwala = 1/5 the copies
⇛ (1/5)×60
⇛60/5
⇛12 copies
Total number of given copies = 30+12 = 42
Remaining copies = 60-42 = 18
Answer: Remaining copies = 18
(ii)Let the number of Rs. 10 notes be X
So given that
all are equal in number
So, Number of Rs 20 notes = Number of Rs. 50 notes = Number of Rs. 100 = X
Total number of notes
= X+X+X+X = 4X
Value of Rs. 10 = 10X
Value of Rs. 20 = 20X
Value of Rs. 50 = 50X
Value of Rs. 100 = 100X
Total amount = Rs. 900
⇛10X +20X +50X+100X = 900
⇛180X = 900
⇛X = 900/180
⇛X = 5
Number of Rs. 10 notes = Number of Rs. 20 notes = Answer: number of Rs. 50 notes = Number of Rs. 100 = 5
(iii) Let the number of rows be X
Number of saplings per each row = 47
Total number of saplings of X rows = 47X
According to the given problem,
Total number of saplings purchased by Mangalakaku = 6016
⇛47X = 6016
⇛X = 6016/47
⇛X = 128
Answer: Total number of rows = 128
In science class, the girl to boy ratio is 3 to 7.
If there are 50 students total in the class, how many are boys?
Answer:
There are 35 boys in the class.
Step-by-step explanation:
Girls to Boys ratio = 3:7
Total number of students in class = 50
Let total number of girls be '3x' and total number of boys be '7x'
Total number of girls + Total number of boys = Total number of students
3x + 7x = 50
10x = 50
x = 50/10
x = 5
[tex] \therefore [/tex]
Total number of girls = 3 × 5 = 15
Total number of boys = 7 × 5 = 35
i really need your help on this
Answer:
That is an improper fraction
Step-by-step explanation:
When the numerator (the top) is greater than the denominator (The bottom) then the fraction is improper
Hope this helps!
Answer:
Improper fraction
Step-by-step explanation:
Prove the following
Step-by-step explanation:
Start by multiplying both sides by cosα:
1 + sinα + (cos²α)/(1+sinα) = 2
sinα + (cos²α)/(1+sinα) = 1
Now multiply both sides by 1+sinα:
sinα + sin²α + cos²α = 1 + sinα
sin²α + cos²α = 1 Q.E.D.
Thats the answer and method i used
Pleas help me for B and C
Answer:
In no b 7 people has represented □
In no c 2 people referred giraffe than dogs
Answer:
(b)Total 8 complete square in given pictogram represented 64 people.
(c) 6 more people preferred giraffes than dogs.
alex is running in a clockwise direction around a circular track with radius 60 yards. he runs for 20 minutes at a speed of 4 yards per second. find the shortest distance between their starting point and their ending point measured along the track
Answer:
100.9 yards
Step-by-step explanation:
One circuit of the track is a distance of ...
C = 2πr = 2π(60 yd) = 120π yd.
At Alex's running rate, the distance covered in 20 minutes is ...
(4 yd/s)(20 min)(60 s/min) = 4800 yd
The number of circuits will be ...
(4800 yd)/(120π yd/circuit) = 40/π circuits ≈ 12.7324 circuits
The last of Alex's laps is more than half-completed, so the shortest distance to his starting point is 13 -12.7324 = 0.2676 circuits,
That distance is (0.2676 circuits)×(120π yd/circuit) ≈ 100.88 yd
The shortest distance along the track to Alex's starting point is about 100.9 yards.
_____
Additional comment
The exact distance is 120(13π-40) yards. The distance will vary according to your approximation for pi. If you use 3.14, this is about 98.4 yards.
Students in Mrs. Doyle's classes use 3/4 of a bottle of hand sanitizer every week. Which expression can be used to find how many bottles of hand sanitizer the students will use in 12 weeks?
12 x 3/4
12 + 3/4
12 - 3/4
12 divided by 3/4
Answer:
A. 12 x 3/4
Step-by-step explanation:
Answer:
12 x 3/4
Step-by-step explanation:
Every one week, there is 3/4 used, which is basic multiplication
My Science teacher is named Mrs. Doyle, lol
8 less than the sum of u and 2
Answer: u < 6
Step-by-step explanation: 2 + u < 8
u < (8-2)
u < 6
NAME THE PARTS OF THE CIRRCLR
a) Point O
b) [tex]\overline{OB}[/tex]
c) [tex]\overline{AB}[/tex]
4) arc DE (m)
5) [tex]\overline{DE}[/tex]
6) Semicircle AEB
Please help question in pic
Answer:
7,3
Step-by-step explanation:
for every 5 it goes right it goes 4 up. 2,1+5,4=7,3
PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS
Answer: y= (1/4)x
Step-by-step explanation: Best guess given screenshot, matched with desmos.
Hanna has 88cm of ribbon and cuts it in the ratio 5 : 6. How much longer is the longest piece and the shortest piece?
Answer:
8 cm
Step-by-step explanation:
sum the parts of the ratio, 5 + 6 = 11 parts
Divide the length of ribbon by 11 to find the value of one part of the ratio
88 cm ÷ 11 = 8 cm ← value of 1 part of the ratio , then
5 parts = 5 × 8 cm = 40 cm
6 parts = 6 × 8 cm = 48 cm
Then difference between lengths is 48 cm - 40 cm = 8 cm
longer piece is 8 cm longer than shortest piece.
NEED HELP PRONTOOO!!!!!!!!!!!!!!!!!!
Answer:
(x + 5)² - 25
Step-by-step explanation:
if laura has a school loan of $420,a car loan of $300 and rent of $550,what must she budget just to pay those expenses?
Answer:
1270
Step-by-step explanation:
420+300+550
$420+300=720+550=1270
Easy question, Worth 80 points, PLEASE HELP!! What are the angles and the side measurements for this triangle?
Answer:
the angles are 89.2°, 34.5°, 56.3° and the sides are √26units, √8units, √18units respectively
Step-by-step explanation:
Distance between points (2,5) and (-1,2)
Using the formula, √(X2 - X1)² + (Y2 - Y1)²
= √(-1-2)²+(2-5)²
=√(-3)²+(-3)²
=√9+9
=√18 or 3√2
Distance between points (-1,2) and (4,3)
=√[4-(-1)]²+(3-2)²
= √5²+1²
=√25+1
=√26
Distance between points (2,5) and (4,3)
=√(4-2)²+(3-5)²
=√2²+(-2)²
=√4+4
=√8
Using Cosine rule/formula, C²= A²+B²-2abcosc
Let C be √18, A be √26 and B be √8
√18²=√26²+√8² - 2√26.√8cosc
18= 26+8 - 2√208cosc
18= 34 -2√208cosc
2√208cosc= 34-18
Cosc = 16/2√208
Cosc= 0.5546
c= Cos`¹(0.5547)
c= 56.3°
Using sine rule/formula
Sinc/C= Sina/A=Sinb/B
Sin56.3/√18= Sina/√26
Sina= (0.8320 × √26)/ √18
Sina= 0.9999
a= Sin`¹(0.9999)
a= 89.2
56.3+89.2+b= 180°( sum of angles in a triangle)
145.5 + b =180
b=180-145.5
b= 34.5
Put the numbers in order from least to greatest.
39% , 0.42 , 11/25
Answer:
39%, 0.42, 11/25
Step-by-step explanation:
First, let's convert the percentage and the fraction into decimals, to make out lives so much easier.
39% = 0.39
11/25 = 0.44
Now, we reorder.
0.39, 0.42, 0.44
Finally, we convert the percentage and the fraction back into their original forms, and adjust the order.
39%, 0.42, 11/25
-hope it helps
Dont know how to calculate it
Answer:
AB = 105
Step-by-step explanation:
Since ∠ A and ∠ B are equal then Δ ABC is isosceles with 2 congruent legs.
AC = BC , substitute values
6x - 7 = 5x + 7 ( subtract 5x from both sides )
x - 7 = 7 ( add 7 to both sides )
x = 14
Then
AB = 7x + 7 = 7(14) + 7 = 98 + 7 = 105
need help with this pls
Answer:
Hence y = (5k -3)/ (1 - k)
.... shown
Find the length of the second base of a trapezoid with one base measuring 18 feet, a height of 5.3 feet, and an area of 125.4 square feet.
Answer:
29.32 feet
Step-by-step explanation:
area of a trapezoid = height/2 * (first base + second base)
125.4 = 5.3 / 2 * (18 + second base)
125.4 = 2.65 * (18 + second base)
We want to solve for the second base. To do this, we can start by isolating the (18+second base) by dividing each side by 2.65
47.32 = 18 + second base
subtract 18 from both sides to solve for the second base
29.32 = second base
what is the slope of the line 3x-4y=73x4y=7?
Answer:
[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
y = mx + b , "m" is slope and "b" is y-intercept
~~~~~~~~~~~~~
3x - 4y = 7
- 4y = - 3x + 7
y = [tex]\frac{3}{4}[/tex] x - [tex]\frac{7}{4}[/tex] ⇒ m = [tex]\frac{3}{4}[/tex]
Write 5.4 as a mixed number and as an improper fraction.
Write your answers in simplest form.
Answer:
5.4 as a fraction is 27/5.
Step-by-step explanation:
Learned in 5th grade
Koala Airlines carries an average of 272 passengers on its Dallas-Perth flight. It runs 620 such flights each year. How many passengers does it carry on those flights each year?
Answer:
272×620=168,640
Step-by-step explanation:
If koala airlines carries 272 in average then the answer is 168,640
YOU guys can write a story or a situation that can be represented by the given equation.
4a + 5 = 12a - 11
Thank you :)
Answer:
If you have a party and your pizza was split up into 16 pieces, 8 people should be able to have 2 pieces.
Step-by-step explanation:
Please answer this question Step by Step method.
If it is correct you will get a thank you and 5 stars from me.
Answer:
see explanation
Step-by-step explanation:
The perimeter P is the sum of the 4 sides of the rectangle.
The opposite sides of the rectangle are congruent , then
P = 2x + 1 + 2x + 1 + x + x ← collect like terms
P = 6x + 2
what is the answer in simplest form?
[tex]\\ \sf\longmapsto 2m^2=-200[/tex]
[tex]\\ \sf\longmapsto m^2=-100[/tex]
[tex]\\ \sf\longmapsto m=√-100[/tex]
[tex]\\ \sf\longmapsto m=√100i[/tex]
[tex]\\ \sf\longmapsto m=10i[/tex]
the triangle has a right angle at the middle letter.
In AABC, Ĉ = 40°, BC = 4 cm. Find AB.
A stairway handrail has a rise of 12 feet and a run of 24 feet. What is the slope of the handrail?
Answer:
1/2
Step-by-step explanation:
12 / 24 = 1/2
Answer:
12/24
Step-by-step explanation:
use the stander rise over run since the rise is 12 it goes over the run which is 24
can you guys help me?
Answer:
Step-by-step explanation:
1. y = 2x
y = 2*4 = 8 Checks, therefore
y = 20 for x = 10
2. y = 3x
y = 3*(0.3) = 0.9 Checks, therefore:
y = 3*(1.5) = 4.5
y = 3*
3. y = 5/x
y = 5/(1/2) = 10 Checks, therefore:
3 = 5/x
x = 5/3
4 v = wu
7*3 = 21 Checks, therefore:
v = (3/4)*(6) = (18/4) = (9/2)
v = (2/3)wu
v = (2/3)*7*3 = 14 Checks
5 m = Kn/p [Add the K as a constant that will make m = Knp true at some value of K]
9 = K*2/(1/3)
27 = (K*2)
27 = 2K
K = (3/2)
m = (3/2) (n/p)
m = (3/2)*((1/2)/(1/3))
m = (3/2)*(3/2)
m = 1