The scale of a room in a blueprint is 5 in.: 9 ft. A wall in the same blueprint is 30 in. Complete the table.
Blueprint length (in.) 5
10
15
20
25
30
Actual length (ft)
9
How long is the actual wall?
The actual wall is
feet long
A window in the room has an actual width of 4.5 feet. Find the width of the window in the blueprint.
The width of the window in the blueprint is
in.
Answer:
54 feets
2.5 inches
Step-by-step explanation:
Given that:
Scale model:
5 in : 9ft
If 5 in = 9 ft
Hence, 1 in on the blue print equals
5 in = 9 ft
1 in = x
Cross multiply
5x = 9
x = 9/5 feets
Hence, 1 inches on the blueprint equals 9/5 feets actual
Blueprint length (in.) ___ Actual length (ft)
5 _________ 9
10 ________ 18
15 ________ 27
20 _______ 36
25 _______ 45
30 _______ 54
Hence ;
5 * 9/5 = 9 feets
10 * 9/5 = 18 feets
15 * 9/5 = 27 feets
20 * 9/5 = 36 feets
25 * 9/5 = 45 feets
30 * 9/5 = 54 feets
Window with actual width of 4.5 feets
Width of window in blue print :
Actual width ÷ 9/5
Actual width = 4.5 = 4 1/2 = 9/2
9/2 * 5 /9
= 5 /2
= 2 1/2 inches = 2.5 inches
How do you write 6 = h(2) as an ordered pair?
Write the equation of the line given a slope of 0 through the point (5, -7)
Answer:
y=-7
Step-by-step explanation:
y-y1=m(x-x1)
y-(-7)=0(x-5)
y+7=0
y=0-7=-7
a12 means that the exponent of an arithmetic function is 12
TRUE or FALSE
help anyone I don’t understand
Answer:
D. 71
Step-by-step explanation:
Plug 7 into f
(7)^2 + 2(7) + 8
then solve
49 + 14 + 8
71
Luke has a board 56 of a yard long. He needs to cut the board into 5 equal sections. Use the expression to find the length of each section. Each section is yard long.
Answer:
11.2
Step-by-step explanation:
56 divided by 5
What’s the value of x?
Can somebody help. Will mark brainliest.
Answer:
12/20
Step-by-step explanation:
Cos is adjacent/hypotenuse. 12 is adjacent to angle C and 20 is the hypotenuse. 12/20 is the cosine of C.
HELP PLEASE 30 POINTS!!
Answer:
p - w = $25 OR w + $25 = p
Step-by-step explanation:
pencil = p
pen = w
p - w = $25 OR w + $25 = p
Solve the following equation: 4(x + 2) - 17 = 35
A: -11
B: 25/2
C: 15
D: 11
Answer:
D: 11
Step-by-step explanation:
4(x + 2) - 17 = 35
4x+8 - 17=35
4x-9=35
4x=35+9=44
x=44/4=11
What’s 10x10+294892-2387482=?
Answer:
557,510
Step-by-step explanation:
haha big brain(jk calculater)
Answer:
557,510
Step-by-step explanation:
caculator
PLLLLLEEEAAAAASSSSEEE ANSWER NEED HELP!!!!!!!!!!!!!!!!!!!!!! WILL MARK 5 STARS!!!!!!!!!!!!!!!!
Answer:
UT = 8
Step-by-step explanation:
From the picture, we can make the following equation...
5 + 2x - 6 = x + 6
By solving it we get
5 + 2x - 6 = x + 6
2x - 1 = x + 6
2x = x + 7
x = 7
Therefor if UT = 2x - 6, then UT is equal to...
2x - 6 = UT
2(7) - 6 = UT
14 - 6 = UT
8 = UT
What does a=? b=? Angle B=?
Answer:
If you were solving the right triangle, it would be:
m∠A = 46°
m∠B = 44°
m∠C = 90°
AB = 32
BC ≈ 23
AC ≈ 24
Step-by-step explanation:
To solve this right triangle, you can use trigonometric ratios to solve for the sides. To find the angle measures:
m∠A = 46° (given)
m∠B = x
m∠C = 90° (given)
180 - (46 + 90) = x
180 - 136 = x
44 = x
m∠B = 44°
To find the side measures, you can use tangent, sine, cosine, and the Pythagorean Theorem.
Recall that:
tangent = opposite side/adjacent side
sine = opposite side/hypotenuse
cosine = adjacent side/hypotenuse
So:
sin46 = BC/32
BC = 32 (sin46)
BC ≈ 23
tan46 = BC/AC
AC = BC/tan46
AC = (23.01887361...) (tan46)
AC ≈ 24
4.
-4 + 5n = 18 + 3n
a. -12
b. -11
C.
1.5
d. 11
Answer:
d
Step-by-step explanation:
-4+5n=18+3n
step 1 add 4 to each side
5n=22+3n
step 2 subtract each side by 3n
2n=22
step 3 divide each side by 2
n=11
work
Determine whether each triangle with sides of given lengths is a right
triangle. Justify your answer. (Example 3)
30 cm, 122 cm, 125 cm
5
Answer:
It is not.
Step-by-step explanation:
The formula of a right triangle is "[tex]a^{2}+b^{2} =c^{2}[/tex]" where c is the hypothenuse (the longest side of the triangle) if we replace the formula with the values we will get
"[tex]30^{2} +122^{2} =125^{2} \\900 + 14884 = 15625\\15784\neq 15625[/tex]
The scale on a map is 2 cm: 25 miles. The distance between the two cities on the map is 7 cm. What is the actual distance between the cities?
Answer:
87.5 miles
Step-by-step explanation:
2cm = 25 miles
7/2 = 3.5
3.5 x 25 = 87.5
WILL AWARD 20 BRAINLY POINTS!
20 POINTS PLZ HELP
4. You are taking out an adjustable rate mortgage with an initial APR of 4% for
years 1 - 5, loan amount: $224,000 for 30 years. What is the monthly payment and
total cost for the first 5 years? Which line(s) did you use on the calculator and
what did you enter for B, R, T and m.
Answer:
mmm... i think its 6-
Step-by-step explanation:
Find the slope and y-intercept of the line.
4)
m=
b=
Answer:
m=y = 2x + 4.
y intercept is 4
Step-by-step explanation:
What is the upper quartile, Q3, of the following data set?
42, 38, 29, 52, 55, 60, 26, 59, 32, 58, 46, 24, 33, 51, 25
The Statue of Liberty's hand is 16.4 ft long. Assume that your own body is similar to that of the Statue of Liberty, your hand is approximately 7.6 inches long, and your nose is 1.8 inches long.
What is the area of the rectangle below?
a. 16 units
b. 32 units?
c. 39 units
d. 52 units?
3 units
13 units
Answer:
39 units
Step-by-step explanation:
when its a rectangle just multiply the two side lengths together to get the answer
Solve 4+x/7=2 50 points
Answer: 4 x − 7 = 2 4x-7=2 4x−7=2. Add 7 to both sides. Simplify 2 + 7 2+7 2+7 to 9. Divide both sides by 4.
Step-by-step explanation:
Answer:
x=-14
Step-by-step explanation:
4+x/7=2
-4 -4
x/7=-2
*7 *7
x=-14
PLEASEEEE HELP!!!☹️☹️ i will mark brainliest
SOLVE THE INEQULITY 4X-7<5
Step-by-step explanation:
the answer is
4x-7<5
4x<12
x<3
1. Write the next three terms of the arithmetic sequence
1, 8, 15, 22, ...
Answer:
29,36,43
Step-by-step explanation:
Answer:
29
Step-by-step explanation:
the numbers are being added by 7
1 + 7 = 8
8 + 7 = 15
and so on
I need help with solving this math problem please I will give brainliest to whoever gets it correct!!!!
Answer:
6^2+8^2=10^2
5^2+x^2=6^2
Step-by-step explanation:
What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?
Answer:
17
Step-by-step explanation:
Solve for m and q:
m+ 2 = q - 4
5m - 33 = q+1
Phyllis invested $13,000, a portion earning a simple interest rate of 5¼% per year and the rest earning a rate of 5% per year. After one year the total interest earned on these investments was $672.50. How much money did she invest at each rate?
Answer:
Phyllis invested $9000 at the rate of 5.25% and $4000 at the rate of 5%.
Step-by-step explanation:
Formula for the simple interest is,
Interest = [tex]\frac{P\times r\times t}{100}[/tex]
Here, P = Principal amount
r = rate of interest
t = Duration of investment
Let Phyllis invested amount (at 5.25% rate of interest) = $x
Therefore, Interest on this amount,
Interest = [tex]\frac{5.25\times x}{100}[/tex]
= $0.0525x
If he invested the rest amount $(13000 - x) at the rate of 5%,
Interest earned on this amount = [tex]\frac{(13000-x)\times 5\times 1}{100}[/tex]
= $(650 - 0.05x)
Interest earned on total amount = $672
Therefore, $0.0525x + $(650 - 0.05x) = $672.5
0.0025x + 650 = 672.5
0.0025x = 22.5
x = $9000
Rest amount = 13000 - 9000
= $4000
Phyllis invested $9000 at the rate of 5.25% and $4000 at the rate of 5%.