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Gala2k [10]
2 years ago
9

An architect drew the blueprint for a new office building. He used a scale in which 1 inch represents 7.5 feet. The floor of an

office in the building will have actual dimensions of 20 feet by 17 feet. What will be the dimensions on the blueprint?
A.
27.5 inches by 24.5 inches
B.
150 inches by 127.5 inches
C.
2.67 inches by 2.27 inches
D.
12.5 inches by 9.5 inches
Reset
Mathematics
2 answers:
inn [45]2 years ago
7 0

Answer:

C

Step-by-step explanation:

20/7.5 = 2.67

17/7.5 = 2.27

Hoochie [10]2 years ago
4 0

Answer:

C.

2.67 inches by 2.27 inches

Step-by-step explanation:

We can use ratios to solve

1 in        x inches

-------- = ---------

7.5 ft       20 ft

Using cross products

1*20 = 7.5x

Divide each side by 7.5

20/7.5 =7.5x/7.5

2.67 =x

We can do the same for the other dimension

1 in        x inches

-------- = ---------

7.5 ft       17 ft

Using cross products

1*17 = 7.5x

Divide each side by 7.5

17/7.5 =7.5x/7.5

2.27 =x

2.67 inches by 2.27 inches

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If log2 5 = k, determine an expression for log32 5 in terms of k.
lukranit [14]

Answer:

log_3_2(5)=\frac{1}{5} k

Step-by-step explanation:

Let's start by using change of base property:

log_b(x)=\frac{log_a(x)}{log_a(b)}

So, for log_2(5)

log_2(5)=k=\frac{log(5)}{log(2)}\hspace{10}(1)

Now, using change of base for log_3_2(5)

log_3_2(5)=\frac{log(5)}{log(32)}

You can express 32 as:

2^5

Using reduction of power property:

log_z(x^y)=ylog_z(x)

log(32)=log(2^5)=5log(2)

Therefore:

log_3_2(5)=\frac{log(5)}{5*log(2)}=\frac{1}{5} \frac{log(5)}{log(2)}\hspace{10}(2)

As you can see the only difference between (1) and (2) is the coefficient \frac{1}{5} :

So:

\frac{log(5)}{log(2)} =k\\

log_3_2(5)=\frac{1}{5} \frac{log(5)}{log(2)} =\frac{1}{5} k

6 0
2 years ago
Help..................
Mariana [72]
Problem A,B,C, and D can be solved using 3*6=18 or 6*3=18
4 0
2 years ago
Read 2 more answers
Graph the function. g(x)=2(x +2)(x +6)g(x)=2(x+2)(x+6)
harkovskaia [24]

Answer:

Graph the parabola using its properties and the selected points. Direction: Opens Up Vertex: ( 4 , − 4 ) Focus: ( 4 , − 15 4 ) Axis of Symmetry: x = 4 Directrix: y = − 17 4 x y 2 0 3 − 3 4 − 4 5 − 3 6 0 image of graph

Hoped I helped

8 0
3 years ago
What is the value of x in the solution to this system of equations?
liberstina [14]

Answer:

x = 11

Step-by-step explanation:

Given the expression;

5x+2y=67 ...1

x=3y−7 ....2

Substitute 2 into 1

5(3y-7)+2y = 67

15y - 35 + 2y = 67

17y = 67+35

17y = 102

y = 102/17

y =6

Recall that x = 3y - 7

x = 3(6) - 7

x = 18 - 7

x = 11

Hence the value of x is 11

6 0
2 years ago
PLEASE ANSWER ALL BIG REWARD
sleet_krkn [62]

Answer:

  1. multiplying
  2. similar figures
  3. scale factor
  4. (x, y) (–3x, –3y) and (x, y) (0.23x, 0.23y)
  5. (x, y) --> (2x, 4y)
  6. Need diagram
  7. A. The line segment has become longer with endpoints D' (-12, -10) and E' (6 -8).
  8. Need image
  9. Reduction
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<em>good luck, i hope this helps :)</em>

6 0
3 years ago
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