Answer:
your answer should be 6! :)
An architect wants to draw a rectangle with a diagonal of 13 centimeters. The length of the rectangle is to be 3 centimeters more than triple the width. What dimensions should she make the rectangle?
Answer:
The rectangle is 3.2 cm by 12.6 cm
Step-by-step explanation:
See attached image for a diagram.
Choose w to represent the width because the length is described by referring to the width: it's 3 more than (add 3) triple (multiplied by 3) the width.
Length = 3w + 3
The diagonal forms two right triangles, each with leg = w, other leg = 3w + 3, hypotenuse = 13.
The Pythagorean Theorem says [tex](\text{leg})^2+(\text{leg})^2=(\text{hypotenuse})^2[/tex] so
[tex]w^2+(3w+3)^2=13^2\\\\w^2+9w^2+18w+9=169\\\\10w^2+18w-160=0\\\\5w^2+9w-80=0\\[/tex]
Now solve using the Quadratic Formula with [tex]a=5,\,b=9,\,c=-80[/tex].
[tex]w=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\w=\frac{-9\pm\sqrt{81+1600}}{10}\\\\w=\frac{-9\pm\sqrt{1681}}{10}\\\\w=\frac{-9\pm41}{10}\\\\w=-5\text{ or }w=3.2[/tex]
The negative root makes no sense as a distance, so the width of the rectangle is 3.2 cm. The length is 3(3.2) + 3 = 12.6 cm.
a hamburger shop sold 360 hamburgers and a number of cheeseburgers were sold was 3 times how many were sold on Sunday?
Answer:
1080 cheeseburgers
Step-by-step explanation:
If the number of cheeseburgers are three times as many as the hamburgers, then 3x360, which is the hamburgers = 1080
I do not know what to do with the Sunday information, so perhaps the question is not complete.
Hope this helps!
Compute the following: Subscript 8 Baseline C Subscript 8 a. 16 b. 0 c. 64 d. 1
i think its D if im not mistaken....
I really need help , someone please help :’( ... ill also make you brainlist.
Answer:
Step-by-step explanation:A)13 miles in feet = 68640 feet
we now need to get the number of cars, we use division to get groups
68640 / 15 = 4576.
we now see there are 4576 cars in the traffic jam.
B)Less, they are longer cars so the divosor would no longer be 15, it would be a higher number. 4576 cars would not be able to fit in a 13 mile stretch if those cars were any longer.
Find the missing term in the perfect-square trinomial.
____− 108y + 36
Answer: 81y^2
Step-by-step explanation: a^2-2ab+b^2=(a-b)^2 Plug values and solve.
y’all im struggling right now
Answer:
[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
probability of getting a number greater than 4 on a die, is 2 out of 6 or [tex]\frac{2}{6} = \frac{1}{3}[/tex]
probability of getting an A on the spinner is [tex]\frac{4}{8}=\frac{1}{2}[/tex]
probability of getting both is [tex]\frac{1}{3} *\frac{1}{2} = \frac{1}{6}[/tex]
PLEASE ASNWER ILL GIVE BRAINLIEST
Answer:
8.6
Step-by-step explanation:
a^2+b^2=c^2
7^2+5^2=c^2
49+25=c^2
74=c^2
8.6=c
Find the equation of the straight line which passes through (3,5) and makes y-inte
r-intercept.
Answer:
Please restate your question.
It needs the y-intercept to be decipherable.
Step-by-step explanation:
The ages of customers in a shoe store at exactly two in the afternoon are shown in the stem and leaf plot below. Customers' Ages How many customers are under the age of 40? A. 15 B. 16 C. 10 D. 3
Answer:
A
Step-by-step explanation:
You deposit $300 in an account that pays 1.48% annual interest. What is the balance after 1 year if the interest is compounded daily?
A. $368.57
B. $304,47
C. $301.48
D. $301.01
Answer:C. $301.48
Step-by-step explanation:
A rectangular block of wood measures 5 inches wide. Over time, the width of the block of wood will shrink by 5%. A builder lets the block of wood shrink. He wants to use it to fill a gap that measures 3.5 inches wide.
How much does the builder need to cut off the wood block so that it will fit exactly in the gap? Enter the answer in the box.
The bulder needs to cut
? Inches off the block of wood.
Answer:
1.25 inches
Step-by-step explanation:
5 - 5% is 4.75
4.75 - 3.5 is 1.25
Janet has 4 more dollars than Marta. Together they
have $38. How much does each person have?
Answer:
Janet has $21 and Marta has $17
Step-by-step explanation:
38-4 since Janet has 4 more dollars
34/2 since there are two people
17 but you still have to add the 4 to Janet since she has 4 more dollars
Answer:
Marta has $15, and Janet has $23.
Step-by-step explanation:
38 in half is 19.
19 + 4 = 23
19 - 4 = 15
Pls need help Giving brainlest to the right anwser!!!
Answer:
1/6 or 3p = 1/2
Step-by-step explanation:
1/2 = 3p is the equation
So we need to divide 1/2 by 3 in order to get p
1/2/3 = 1/6
1/6 is p
3p = 1/2
I'LL MARK YOU AS BRAINLIEST IF ANSWER CORRECT
a bookstore charges h dollars for a hardcover book, p dollars for a paperback book, and m dollars for a music CD. During a sale the store reduces the cost of of a book by 20% and reduced the cost of music CD by $1. Enter an equation for the total cost, t, for buying 5 hardcover books, 8 paperback books, and 6 music CDs during the sale.
The Equation to represent the "total-cost", "t", for purchasing "5 hardcover books", 8 "paperback-books", and 6 music CDs during the sale is t = 4h + 6.4p + 6m - 1.
The cost of the hardcover-book is = $h,
The cost of the paperback-books is = $p,
The cost for one music-CD is = $m,
In the sale, the price of each book is reduced by 20%, and
The price of music-CD is reduced by $1,
So, the cost of 5 hardcover books during the sale is:
⇒ 5h - 0.2(5h) = 4h ...because 20% = 0.2;
and the cost of 8 paperback books during the sale is:
⇒ 8p - 0.2(8p) = 6.4p,
The cost of 6 music CDs during the sale is ⇒ 6m - 1;
So, the total cost, "t", for buying 5 hardcover books, 8 paperback books, and 6 music CDs during the sale is:
⇒ t = 4h + 6.4p + 6m - 1,
Therefore, the required equation of "total-cost" is t = 4h + 6.4p + 6m - 1.
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here are 2 gold coins and 5 silver coins in Victor's coin collection. What is the ratio of the
number of silver coins to the number of gold coins?
Answer:
5:2
Step-by-step explanation:
Since we know both the number of silver and gold coins, we can put it in ratio form. Pay attention to the order; since it’s asking for silver to gold coins, the ratio would be silver:gold. We can substitute the 5 and 2 for the gold and sliver values, so we get 5:2. This answer cannot be simplified so it will stay the same.
the sum of two numbers is 8. the sum of the squares of the same two numbers is 40. what are the numbers?
Answer:
The numbers are 6 and 2
Step-by-step explanation:
Given this scenario, we can set up the following equations:
x + y = 8
x² + y² = 40.
___________
x + y = 8
y = 8 – x
(y)² = (8 – x)²
y² = (8 – x)²
x² + y² = 40
x² + (8 – x)² = 40
x² + 64 – 16x + x² = 40
2x² – 16x + 64 = 40
2x² – 16x = -24
2(x² – 8x) = -24
x² – 8x = -12
x² – 8x + 12 = 0
(x – 6)(x – 2) = 0
x = 6 or 2.
x + y = 8 →
(6 or 2) + y = 8
y = 8 – (6 or 2)
y = 2 or 6.
___________
x + y = 8 →
6 + 2 = 8 →
8 = 8 ✓
x² + y² = 40 →
6² + 2² →
36 + 4 = 40 →
40 = 40 ✓
Kirk used the Quantitative Reasoning Process to build a budget while he is going to college. He worked hard over the summer and saved $3,251.35 to live on during the next two semesters of school. Kirk will receive a scholarship each semester for $1,157.9. If he plans to use up all of his savings while at school, how much money can Kirk spend each month, on average, for things like groceries, entertainment, and miscellaneous items?
Assume two semesters equals 8 months total. Also assume Kirk has no other expenses than what he has listed here.
Scholarship for each Semester: $1,157.9
Tuition & Books Cost per Semester: $2,000
Housing Cost for a two-semester Contract: $1,025
If he has money left, what is the average monthly amount Kirk can afford to spend each month?
If he has overspent, what is the average monthly amount Kirk would be in debt each month?
(Indicate this amount with a negative sign)
(Round your answer to the nearest cent)
Kirk can spend $695.89 each month.
AveragesGiven that Kirk worked hard over the summer and saved $3,251.35 to live on during the next two semesters of school, and Kirk will receive a scholarship each semester for $1,157.9, to determine, if he plans to use up all of his savings while at school, how much money can Kirk spend each month, on average, for things like groceries, entertainment, and miscellaneous items, assuming two semesters equals 8 months total, the following calculation must be made:
(3251.35 + (1157.9 x 2)) / 8 = X(3251.35 + 2315.8) / 8 = X5567.15 / 8 = X695.89 = XTherefore, Kirk can spend $695.89 each month.
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Answer:
Kirk can spend $695.89 each month.
Step-by-step explanation:
Question 2 of 5
✓25 =
O A. 10
B. 6
C. 4
D. 5
Answer:
The answer would be : D. 5
Does anyone know generic rectangles?
Answer:
here you go i guess
Step-by-step explanation:
Can someone answer this please
Answer:
Blue
Step-by-step explanation:
A straight line has an angle of 180 on each side.
5a+18+24-a+8a-30=180
12a+12=180
12a=168
a=14
Green: 14x5+18=88
Blue:24-14=10
Yellow:8x14-30=82
The total cost of $4 sharpeners and $7 folders is $30.05. If the cost of a sharpener is $a, and a folder is $2.80 more expensive, find $a. Give your answer to two decimal places.
9514 1404 393
Answer:
a = $0.95
Step-by-step explanation:
The cost of a sharpener is 'a', and the cost of a folder is $2.80 more, so is a+2.80. The total cost of 4 sharpeners and 7 folders is ...
4a +7(a+2.80) = 30.05
11a = 10.45 . . . . . . . . . . . subtract 19.60
a = 0.95 . . . . . . . . . . . divide by 11
The cost of a sharpener is a = $0.95.
Write the slope -intercept form 3x-5y=-15
Answer: M= 3/5
Step-by-step explanation: 3/5x=3= M=3/5
15. Find the value of x and y rounded to the nearest tenth.
X
34
45°
30°
y
Answer:
x = 24.0
y = 46.4
Step-by-step explanation:
Let opposite side = z
Using trigonometry :
Sin 30 = z / 34
z = 0.5 * 34
z = 17
We find x :
Sin 45 = 17 / x
x * sin45 = 17
x = 17 / sin 45
x = 24.04
Let y = y1 + y2
y1 = 17 / tan45
y1 = 17
y2 = 17/tan30
y2 = 29.44
y = 17 + 29.44
y = 46.44
Plz help me well mark brainliest if you are correct!!....
Wow! There are 51 rabbits. Round 51 to the nearest 10,
Answer:
it 50
Step-by-step explanation:
Answer:
The answer (I think) is 50.
Step-by-step explanation:
I'm a little cautious, just cause because this question seems so easy.♀️
51 is closest to 50, so 51 rounded to the nearest tenth is 50.
Could I be marked as Brainliest please???
The segments shown below could form a triangle.
A. True
B. False
Answer:
true
Step-by-step explanation:
lol can anyone help me asap
Answer:
A = 34.1 cm²
Step-by-step explanation:
Shape is a triangle.
Formula for area of a triangle is;
A = ½bh
In this triangle;
b is base = 11 cm
h is height = 6.2 cm
Thus;
A = ½ × 11 × 6.2
A = 34.1 cm²
Indicate True of False for 3g > 15 Substitute 5 for g.
Answer:
False
Step-by-step explanation:
(3)(5)>15
15>15
False
HELP
What is the equation of the trend line in the scatter plot ?
Answer:
its decreasing
Step-by-step explanation:
the graph will always be read from left to right.
Solve the equation 8-2x=-8x+14
Answer:
x= -3/5
Step-by-step explanation: