Answer:
Step-by-step explanation:
You have two decimals that both have the same number of digits in them. It is easy to compare decimals that have the same number of digits. Look at the numbers without the decimal point and determine which number is greater. 67 is greater.
Answer:
A
Step-by-step explanation:
We assume the opposite and then get to a point where we get a false statement. That proves that the the opposite of the opposite (What we originally wanted to prove) is true.
The angles and lengths of each of the given triangles are;
5) m∠B = 57.52°
6) B = 70.81°
7) AB = 55.43 Km
8) AC = 39.06 ft
<h3>How to use cosine rule?</h3>
The cosine rule is expressed as;
c = √[a² + b² - 2ab(cos C)]
5) Using cosine rule;
BC = √[21² + 13² - 2(21*13)(cos 91)]
BC = 24.89
Using sine rule, we can find angle B as;
21/sin m∠B = 24.89/sin 91
sin m∠B = (21 * sin 91)/24.89
sin m∠B = 0.8436
m∠B = sin⁻¹0.8436
m∠B = 57.52°
6) Using cosine rule;
14² = 11² + 13² - 2(11*13)(cos B)]
196 = 121 + 169 - 286(cos B)
cos B = (121 + 169 - 196)/286
cos B = 0.3287
B = cos⁻¹0.3287
B = 70.81°
7) Using cosine rule;
AB = √[24² + 36² - 2(24*36)(cos 134)]
AB = 55.43 Km
8) Using cosine rule;
AC = √[21² + 26² - 2(21*26)(cos 112)]
AC = 39.06 ft
Read more about cosine rule at; brainly.com/question/4372174
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Answer:
Option C. Step 3
Step-by-step explanation:
step 1
Identify the pre-image and the image: The pre-image is triangle XYZ, and the image is X'Y'Z'
The step 1 is correct
step 2
Identify the number of units that each point moves horizontally: Each point moves one unit left.
The step 2 is correct
step 3
Identify the number of units that each point moves vertically: Each point moves three units down
<u>The step 3 is not correct</u>
Each point moves three units up
step 4
The translation is one unit left and three units down
<u>the step 4 is not correct</u>
The translation is one unit left and three units up
therefore
The first error is in the Step 3
4m + 2 > 68, is the correct answer.
it states that the owner of the restaurant wants to have seating for <u>more than 68 people</u>, which converts to " > 48 ". it also says a private chef's table <u>seats 2 people</u>, which converts to " + 2 ". finally, it says the owner plans to buy <em>m</em> tables that each seat 4 people, which converts to " 4<em>m</em> " because they are multiplying the number of tables<em>, m</em>, times each 4 people are seated. thus, 4m + 2 > 68 is the final answer.
