Answer:
49
Step-by-step explanation:
We will need the Perimeter formula to find this out. The perimeter of the square in this problem is 196 for the soldiers. P=4a, 196=4a. Divide both sides by 4. 49 = a, so 1 side is 49.
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Find the measure of the exterior angle
Answer:
A exterior angle of a polygon is an angle outside the polygon formed by one of its sides and the extension of an adjacent side.
In 1995 the town of Springdale had a population of 2,378. Over the next 20 years the town's population decreased by 12.5%. What was the population of the town in 2015?
Answer: 165
Step-by-step explanation:
Exponential equation for decay :[tex]A= P(1-r)^t[/tex] , where A is the value after t year, P = initial value.
As per given ,
P= 2378
t= 20 years
r = 12.5% = 0.125
Now ,
[tex]A=2378(1-0.125)^{20}\\\\=2378(0.875)^{20}\\\\= 2378(0.0692087587)\\\\=164.57842\approx 165[/tex]
Hence, the population of the town in 2015 = 165
In △ACD, if AC≅AD, m∠A = 3x − 4, m∠C = 5x + 1, and m∠D = 7x − 27, find x and the measure of each angle.
Answer:
x = 14
m∠A = 38°
m∠C = 71°
m∠D = 71°
Step-by-step explanation:
By the property of a triangle,
"Sum of interior angles of a triangle is 180°"
m∠A + m∠C + m∠D = 180°
By substituting the values of the angles given in the question,
(3x - 4)° + (5x + 1)° + (7x - 27)° = 180°
(3x + 5x + 7x) + (-4 + 1 - 27) = 180
15x - 30 = 180
15x = 210
x = 14
Therefore, m∠A = 3x - 4
= 3(14) - 4
= 38°
m∠C = 5x + 1
= 5(14) + 1
= 71°
m∠D = 7x - 27
= 7(14) - 27
= 98 - 27
= 71°
What is the equation of a line that passes through (0, 7) and has a slope of -2?
Answer:
y = -2x + 7
Step-by-step explanation:
We are given the slope so find the y-intercept using slope-intercept form [ y = mx + b ]
y = -2x + b
7 = -2(0) + b
7 = 0 + b
7 = b
Put everything we know/solved for into the original formula.
y = -2x + 7
Best of Luck!
Graph each integer or set of integers on a number line.
Go math 6th grade
Please help mEEeEEEEEeEAEE
Answer:
uhhhhh whats the promblem i will help..
Step-by-step explanation:
Help me answer the question please
Answer:
A
Step-by-step explanation:
4x - 2 and 3x + 6 are alternate angles and congruent, thus
4x - 2 = 3x + 6 ( subtract 3x from both sides )
x - 2 = 6 ( add 2 to both sides )
x = 8
FIRST ANSWER GETS BRAINLY
What are two ways to start solving the equation 4(c - 3)=8? Choose BOTH ways
1. Add 3 to both sides to get 4c = 11
2. Divide both sides by 4 to get c - 3 = 2
3. Use the distributive property to get 4c - 3 = 8
4. Use the distributive property to get 4c - 3 = 8
5. Subtract 4 from both sides to get c - 3 = 4
Answer
2, i can't find any other solution
Step-by-step explanation:
you divided both sides by 4 you get x - 3 = 2/2 plus 3 = 5 = x
To solve an equation 4(c - 3) = 8 the correct ways are
1. Use the distributive property to get 4c - 12 = 8
2. 2. Divide both sides by 4 to get c - 3 = 2
What is an equation?Two algebraic expressions having the same value and symbol '=' in between are called an equation.
The two ways to start solving the equation 4(c - 3) = 8 are:
Use the distributive property to get 4c - 12 = 8, then add 12 to both sides to get 4c = 20, and finally divide both sides by 4 to get c = 5.
This method uses the distributive property to simplify the left-hand side of the equation before solving for c.
Divide both sides by 4, and we get,
4(c - 3)/4 = 8/4
c - 3 = 2
c = 5.
Therefore, the two ways are given above.
To learn more about the equation;
https://brainly.com/question/12788590
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answer to this problem
2³×(15-9)+7
Answer:
The answer is 55.
Step-by-step explanation:
hope this helps
2³×(15-9)+7
=8(15-9)+7
=120-72+7
=48+7
=55
Zarah earns a weekly salary of $645 plus a commission of 6.5% on sales at the clothing store where she works. How much would she earn in one week if she sold $2,200 worth of merchandise? Zarah would earn $ _________ for that week.
what is the vertex of h(x)=3x^2+6x-2?
its -1 and -5
thank u for letting me helps u
Juan joins a movie club. He pays $10 to join and each movie cost $5. Which equation represents the relationship between the y , and the number of movies, x
Help me please......
Answer:
Approx. 73°
Step-by-step explanation:
i’m really bad at math word problems so yeah lol don’t make fun of me
Answer:
b
Step-by-step explanation:
B. She earns money and doesn't spend anything, according to the word problem, so it is B, officially meaning she has earned $5=$13
the equation p = 3s represents the perimeter p of an equilateral triangle with side length s. what is the perimeter of an equilateral triangle with side length 4 km?
Answer: 12
Step-by-step explanation:
p=3s
s=4
p=3(4)
P=12
Find the area of the circle. Round your answer to the nearest hundredth.
Answer:
oh i thought i knew this sorry man
Step-by-step explanation:
Answer:
7.10
Step-by-step explanation:
Sorry if this is wrong, just a guess:)
Susie begins a new walking program
with 600 m on the first day. Each day,
she will increase her walk by 200 m.
How many kilometers will she walk on
day 18 of her program?
kilometers
A.1.35
B.4
C.8
D.27
please help me ASAP
The class 4S because you divide each number by its mean mark and standard division and 4S is the highest.
How can i get better at math? i've been in a F for a month and i don't wanna fail and not get my darn credits >:(
Answer:
you can get a tutor, or look up videos on practices you can do and you can download some math apps look up tiger-algebra as well, hope you're able to get your grade up:))
Step-by-step explanation:
If angle 1 is 78 degrees, what is the measure of angle 8?
Answer:
78 degrees because they are congruent angles
45% of overnight campers reported feeling homesick their first night away.If 90 campers felt homesick, how many total campers were there?
Pls we only need part B to pass this subject
Answer: Weird
Step-by-step explanation: Maybe calculate all the numbers I guess.
Please help I need to finish this
HELP PLEASE 12 POINTS
Answer:
Step-by-step explanation:
5^2=3^2+a^2
25=9+a^2
16=a^2
take the square root of both
4=a
Kevin bought twelve 8-ounce bottles of water. How many milliliters of water did Kevin buy? (Note: 1 ounce ≈ 30 ml) Thank you for any help I may get! <3
Given:
Kevin bought twelve 8-ounce bottles of water.
1 ounce ≈ 30 ml
To find:
The quantity of water in milliliters
Solution:
We have,
1 ounce ≈ 30 ml
8 ounce ≈ 8×30 ml
8 ounce ≈ 240 ml
It means, one 8 ounce bottle can hold about 240 milliliters of water.
Total number of bottles = 12
So, the quantity of water Kevin buy in milliliters is
[tex]12\times 240=2880[/tex]
Therefore, Kevin buys 2880 milliliters of water in twelve 8-ounce bottles.
Donna's company reimburses her expenses on food, lodging, and conveyance during business trips. The company pays $50 a day for food and lodging and $0.60 for each mile traveled. Donna drove 200 miles and was reimbursed $1,620. Part A: Create an equation that will determine the number of days on the trip. (3 points) Part B: Solve this equation justifying each step with an algebraic property of equality. (6 points) Part C: How many days did Donna spend on this trip? (1 point)
Answer:
See below
Step-by-step explanation:
Part ALet number of days be d, then the equation is:
50d + 200*0.6 = 1620Part BSolution of the equation
50d + 120 = 162050d + 120 - 120 = 1620 - 120 ⇒ subtraction property of equality50d = 150050d / 50 = 1500/50 ⇒ division property of equalityd = 30Part C30 days as aboveIf PQR ≈ STU complete each part
*see attachment for the complete diagram and what is required.
Answer:
✅ST = 7 m
✅SU = 8 m
✅m<R = 46°
✅m<Q = 75°
✅m<S = 59°
Step-by-step explanation:
Given that ∆PQR ≅ ∆STU, therefore, their corresponding sides and angles would be congruent to each other.
Thus:
<P ≅ <S, therefore, m<P = m<S = 59°
<Q ≅ <T, therefore, m<Q = m<T = 75°
<R ≅ <U, therefore, m<R = m<U.
PQ ≅ ST, therefore, PQ = ST
QR ≅ TU, therefore, QR = TU
PR ≅ SU, therefore, PR = SU
Let's find the measure of the following with the information we already know:
✅ST = PQ = 7 m
✅SU = PR = 8 m
✅m<R = 180 - (m<P + m<Q) (sum of ∆)
m<R = 180 - (59°+ 75°) (substitution)
m<R = 180 - 134
m<R = 46°
✅m<Q = m<T = 75°
✅m<S = m<P = 59°
The length of the segment ST is 7m, the length of the segment SU is 8m, angle R is 46 degrees, angle Q is 75 degrees, and angle S is 59 degrees.
Given :
PQR ≈ STUThe segment PR = 8 mThe segment PQ = 7 mAngle RPQ is 59 degrees.Angle STU is 75 degrees.The following steps can be used in order to complete each part:
Step 1 - Angle P is similar to angle P therefore, angle S is 59 degrees.
Step 2 - Angle Q is similar to angle T therefore, angle Q is 75 degrees.
Step 3 - Angle R is similar to angle U therefore, angle R and angle U are equal.
Step 4 - Segment PQ is similar to segment ST, therefore the length of segment PQ is equal to the length of segment ST.
Step 5 - Segment QR is similar to segment TU, therefore the length of segment QR is equal to the length of segment TU.
Step 6 - Segment PR is similar to segment SU, therefore the length of segment PR is equal to the length of segment SU.
Step 7 - Apply the sum of interior angle property on the triangle PQR.
[tex]\rm \angle R + 59 + 75 = 180[/tex]
[tex]\rm \angle R = \angle U = 46^\circ[/tex]
For more information, refer to the link given below:
https://brainly.com/question/10652623
a car is traveling at a constant speed. it travels 3 2/1 miles in 5 1/4 minutes. how many minutes will it take the car to go 70miles
Answer:
105 minutes
Step-by-step explanation:
if u help me i will give u knicks by cochise
Answer:
6
Step-by-step explanation:
evaluate g(x) = 4 - 3x when x = -3, 0, and 5
please help im really struggling