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geniusboy [140]
3 years ago
6

Hans has two photographs that are similar rectangles. The first photograph has dimensions of 4 inches by 6 inches. The second ph

otograph has one dimension of 10 inches. Which could be the other dimension of the second photograph?
A. 8 inches
B. 12 inches
C. 14 inches
D. 15 inches
Mathematics
1 answer:
Airida [17]3 years ago
4 0

the answer is d bc the ratio is 2:3 just multiply that by 5

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Un carpintero quiere cortar una plancha de triple y de 1m de largo y 60 cm de ancho, en cuadrados lo más grandes posibles. El ca
Ugo [173]

Answer: 20\ cm

Step-by-step explanation:

The first step to solve the exercise is to make the conversion from meters to centimeters.

Since 1\ m=100\ cm, then the dimensions of the wood board in centimeters are:

Lenght=100\ cm\\\\Width=60\ cm

Now, you must find the Greatest Common Factor (GCF). The steps are:

- Descompose 100 and 60 into their prime factors:

100=2*2*5*5=2^2*5^2\\60=2*2*3*5=2^2*3*5

- Multiply the commons with the lowest exponents:

GCF=2^2*5\\\\GCF=4*5\\\\GCF=20

Therefore, the side lenght of each square must be:

s=20\ cm

7 0
3 years ago
Determine the value of k
KATRIN_1 [288]

Answer:

\displaystyle k = 6

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

<u>Algebra I</u>

  • Functions
  • Function Notation

<u>Algebra II</u>

  • Piecewise Functions<u> </u>

<u>Calculus</u>

  • Limits
  • Continuity

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

Continuous at x = 2

\displaystyle f(x) = \left \{ {{2x^2 \ if \ x < 2} \atop {x + k \ if \ x \geq 2}} \right.

<u>Step 2: Solve for </u><em><u>k</u></em>

  1. Definition of Continuity:                                                                                   \displaystyle  \lim_{x \to 2^+} 2x^2 =  \lim_{x \to 2^-} x + k
  2. Evaluate limits:                                                                                                  \displaystyle 2(2)^2 =  2 + k
  3. Evaluate exponents:                                                                                         \displaystyle 2(4) =  2 + k
  4. Multiply:                                                                                                             \displaystyle 8 =  2 + k
  5. [Subtraction Property of Equality] Subtract 2 on both sides:                        \displaystyle 6 = k
  6. Rewrite:                                                                                                             \displaystyle k = 6

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Limits - Continuity

Book: College Calculus 10e

4 0
2 years ago
Read 2 more answers
6A. make a box and whiskers plot for the following data label the extrems,quartites class score 40,30,75,82,90,25,80,46
Aliun [14]
<span> 25  30  35  40  46  60.5  75  80  81  82  90
min      Q1           Q2/med          Q3      max
81-35=46=Interquartile range

</span><span>Is that all the information you wanted?</span>
5 0
3 years ago
What is the product?
LenaWriter [7]

Answer:

21x^{7}y^{11}

Step-by-step explanation:

Remove the parentheses and take out the constansts.

(7 x 3) x^{2} x^{5} y^{3} y^{8}

Simplify 7 x 3 to 21.

21x^{2} x^{5} y^{3} y^{8}

Use the product rule: x^{a} x^{b} = x^{a + b}

21x^{2 + 5}y^{3+8}

Simplify 2+5 to 7.

21x^{7}y^{3+8}

Simplfiy 3 + 8 to 11.

21x^{7}y^{11}

4 0
2 years ago
Find the absolute value of -6/3/5
sashaice [31]
(|-6| / 3) / 5 = 0.4
6 0
3 years ago
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