Answer:
100 meters
Step-by-step explanation:
Given that:
Distance traveled N = 50 meters
Distance traveled W = 30 meters
Distance traveled straight back south = 20 m
The distance traveled :
Distance traveled N + Distance traveled W + Distance traveled S
(50 + 30 + 20) meters
= 100 meters
If the given figure was folded into a
square pyramid, determine its lateral surface area.
A. 150cm2
B. 1,470cm2
C. 840cm2
D. 616cm2
E. 420cm2
Answer:
the answer is c.840
Step-by-step explanation:
you multiply 15 4 times and multiply it with 14 that would give us 840
Solve the system of equations by multiplying first. Enter the solution as an ordered pair.
x + 3y = -13
4x + 4y = -12
The solution is
Given:
The system of equations is:
[tex]x+3y=-13[/tex]
[tex]4x+4y=-12[/tex]
To find:
The solution for the given system of equations.
Solution:
We have,
[tex]x+3y=-13[/tex] ..(i)
[tex]4x+4y=-12[/tex] ...(ii)
Multiply equation (i) by 4, to make common coefficient of x.
[tex]4x+12y=-52[/tex] ..(iii)
Subtract (ii) from (iii).
[tex]4x+12y-4x-4y=-52-(-12)[/tex]
[tex]8y=-40[/tex]
[tex]y=\dfrac{-40}{8}[/tex]
[tex]y=-5[/tex]
Putting [tex]y=-5[/tex] in (i), we get
[tex]x+3(-5)=-13[/tex]
[tex]x-15=-13[/tex]
[tex]x=-13+15[/tex]
[tex]x=2[/tex]
Therefore, the solution of the given system of equations is [tex]x=2,y=-5[/tex].
5E. Given ▲ABC with vertices A(2, -1), B(5, 6), and C(-1, 4) as shown. Find the number of square units in the area of ▲ABC in the simplest form.
Answer:
Area = 18 square units
Step-by-step explanation:
Given
[tex]A =(2,-1)[/tex] --- [tex](x_1,y_1)[/tex]
[tex]B =(5,6)[/tex] --- [tex](x_2,y_2)[/tex]
[tex]C = (-1,4)[/tex] --- [tex](x_3,y_3)[/tex]
Required
The area of the triangle
This is calculated as:
[tex]Area = \frac{1}{2}|x_1(y_2 - y_3) + x_2(y_3 - y_1) +x_3(y_1 - y_2)|[/tex]
[tex]Area = \frac{1}{2} * |2(6 - 4) + 5(4 - -1) -1(-1 -6)|[/tex]
[tex]Area = \frac{1}{2} * |2*2 + 5*5 -1*-7|[/tex]
[tex]Area = \frac{1}{2} * |36|[/tex]
[tex]Area = \frac{1}{2} * 36[/tex]
Area = 18 square units
Jonathan has $3,500. He deposited part of the money in his savings account and part in his checking account. If the amount he deposited into his savings account is $800 more than twice the amount he deposited into his checking account, how much did he deposit into his checking account?
Answer:
$900
Step-by-step explanation:
the steps are above
someone please help.
The shortest side of a right triangle is 12, and the longest side is 18. What is the length of the unknown side?
[tex]\sqrt[6]{5}[/tex]
Hope This Helps You!
Good Luck Studying ^-^
if the GCF is factored out of both terms in the expression 24x + 36y, what is the equivalent expression?
I’m just confused about factoring out the GCF
Solve (s−9)(s−1)=0. how do I solve this equation
Answer:
Step-by-step explanation:
Find the missing side length for x.
Answer:
x = 6
Step-by-step explanation:
4/12 = x/18
72 = 12x
x = 6
pls help with the very last question
Answer:
A for the first one, B for the second one, and i think B for the third.
Step-by-step explanation:
Factor the expression using the GCF. 24-9
Please answer I’ll make brainliest
Question:
In triangle FGH, the measure of angle H = 90°, HG = 48, FH = 55, and GF = 73. What ratio represents the tangent of angle G?
___________________________________________________
Solution:
The triangle FGH should look like that in the attachment.
Tangent of angle G = opposite side/adjacent side
= FH/HG
= 55/48
please answer thanks xoxo will mark brainliest
Answer:
22) 20000000
23) 0.034
24) 0.0000000015
25) 59000000000
26) 0.0048
27) 625000
Step-by-step explanation:
4. Find the coordinates in the table after a translation 3 units right and 4 units down followed by a reflection over the x-axis. (show the notation for each transformation)
6 members each swam 1,685 meters during the season; how many total kilometers did the 6 members swim during the season
Answer:
10.110 km
Step-by-step explanation:
1000 meter = 1 kilometre
Since we are to provide the answer in kilometres, we have to convert the meters to kilometres
1685 m = 1685/1000 = 1.685km
Total kilometres swan by the 6 members = 1.685km x 6 = 10.110 km
Method 2
1.685km + 1.685km + 1.685km + 1.685km + 1.685km + 1.685km = 10.110km
Any help?? I’ve tried this for a hour and couldn’t figure anything out
Answer:
3. PR=51
4. FE=28
Step-by-step explanation:
3. since the two triangles are similar, set up a proportion:
x+8/3x-9=24/28
*cross multiply*:
28(x+8)=24(3x-9)
28x+224=72x-216
44x=440
x=20
to find PR:
PR=3x-9
PR=3(20)-9
PR=51
4. same here:
39/4x+2=42/5x-2
39(5x-2)=42(4x+2)
195x-78=168x+84
27x=162
x=6
to find FE:
FE=5x-2
FE=5(6)-2
FE=28
Tell which method you used plz 4x^2-15=66
Answer:
x = ±4.5
Step-by-step explanation:
4x² - 15 = 66
Add 15 to both sides.
4x² = 81
Divide both sides by 4.
x² = 20.25
Take the square root of both sides.
x = ±4.5
Hope this helps!
Sophie is buying 3 outfits (shirt and shorts) to wear to volleyball practice. The shirts are $10.00 each, and the total cost is $64.50.
How much did each pair of shorts cost?
Enter your answer as a decimal, like this: 42.53
Answer:
$11.5
Step-by-step explanation:
Subtract 30 from 64.50 to get rid of the cost of shirts. (3 shirts costing 10 dollars) to get 34.50. DIvide 34.50 by 3 for the number of shorts. Your final answer is 11.5
The wait time for your local pizzeria to deliver food is normally distributed with µ = 40 minutes and σ = 3.5. What is the probability the next pizza delivery will take over 47 minutes? 2.15% 13.6% 2.28% 4.56%
Answer:
2.28%
Step-by-step explanation:
Given that:
µ = 40 minutes ; σ = 3.5.
x = > 47 minutes
Obtain the standardized score, Z
Zscore = (x - μ) / σ
P(x > 47) = (47 - 40) / 3.5
P(x > 47) = 7 / 3.5
P(x > 47) = 2
P(z > 2) = 0.02275
Hence, Probability that next pizza delivery takes over 47 minutes is 0.02275 = 2.275% = 2.28%
Final Answer is: 2.28%
I got it right when I did it! :)
50 points and Ill give brainiest - please help ASAP with WORK FOR IT please and thank you!! :)
2 pages with work
Answer:
1) (x + 12)²+(y+6)²= 28
comparing above equation with(x-h)²+(y-k)²=r²
we get
r=√28
h=-12
k=-6
;.centre=(-12,-6)
radius =√28 units
2) x²+(y+7)²=15
comparing above equation with(x-h)²+(y-k)²=r²
we get
r=√15
h=0
k=-7
;.centre=(0,-7)
radius=√15 units
3) (x + 4)²+(y - 1)² = 4
comparing above equation with(x-h)²+(y-k)²=r²
we get
r=√4=2units
h=-4
k=1
;.centre=(-4,1)
radius=√2units
4) (x+3)²+(y-1)²= 8
comparing above equation with(x-h)²+(y-k)²=r²
we get
r=√8=2√2units
h=-3
k=1
;.centre=(-3,1)
radius=2√2units
A 4-L water filter is used to fill 200 mL cups and three 750 mL drink bottles How much water is left in the water filter
Answer:
1550 mL
Step-by-step explanation:
Total capacity of water = 4 Litre
4 L = 4 * 1000 mL = 4000 mL
200mL cups filled = 1 ; 200 mL
750mL cups filled = 3 ; 750 * 3 = 2250 mL
Total = (200 + 2250) mL = 2450 mL
Water left in filter :
(4000 - 2450) mL = 1550 mL
Ginny paid $4.16 for a sandwich. She paid$0.95 for a piece of fruit. What is the total amount Ginny paid for the sandwich and fruit?
Answer:
$5.11
Step-by-step explanation:
4.16 + 0.95 = 5.11
Account A: $300 monthly deposits, interest rate is 4.2%. Account B: $250 monthly deposits, interest rate is 5.1%. Which account will have a greater value at the end of 15 years?
a. Account A will be greater than Account B.
b. Account B will be greater because the interest rate is higher.
c. They will be worth about the same.
d. Not enough information.
Answer:
A
Step-by-step explanation:
We have to determine the future value of the annuity to determine which account has a greater value
Future value = Amount x annuity factor
annuity factor = Annuity factor = {[(1+r)^n] - 1} / r
Account A = 300 x[ (1.042)^15 - 1 ] / 0.042 = $6097.14
Account B = 250 x[ (1.051)^15 - 1 ] / 0.051 = $5435,42
Account A will be greater
Aliza reads 9 pages of a book in 1/3 hour. It takes her the same length of time to read each page. How many pages does Aliza read in an hour?
Answer:
27 pages in 1 hour
Step-by-step explanation:
9*3 = 27
Four cats each ate 1/3 cup of canned food and 2/3 cup of dry food. How much food did they eat altogether?
Answer
KK
Step-by-step explanation:
1/3+2/3 so first u do 1+2=3 and u dont add 3+3 so there for it would be 3/3 or 1.
Answer:
The four cats ate 1 cup of food all together.
Step-by-step explanation:
1/3 + 2/3 = 3/3
3/3 as a simplified fraction is 1.
The equations of four lines are given. Identify which lines are parallel.
Line 1: y=−6x+8
Line 2: x+1/2y=−1
Line 3: y=−2x+6
Line 4: y−5=−1/6(x−2)
what is the Coefficient in
3x + 7
Answer:
The coefficient is 3.
Step-by-step explanation:
The coefficient is always the number next to the unknown or in this case, x
plzz help this is due today!!
Answer:
x=45
Step-by-step explanation:
First, this figure takes place half of the circle. So we are dealing with a semi circle.
Angle C is inscribed angle in the semi circle. A semi circle measure 180 degrees. Since Angle C is inscribed, It measures 90 degrees.
This theorem proves this
If an angle is inscribed in a semicircle, it will be half the measure of a semicircle (180 degrees), therefore measuring 90 degrees.
Solve for x
[tex]2x = 90[/tex]
[tex]x = 45[/tex]
Can someone help me solve this and put the things in order i dont know what to do-
Hi, I believe this should be correct. The way the boxes are phrased is very misleading.
.
Find the y-intercept of y - x = 7.