270 / 3 ( (4 - 3) 3 - (-9) ) - 53
270 / 3 (1 x 3 - (-9) ) - 53
270 / 3 (3 + 9) - 53
270 / 3 x 12 - 53
In PEMDAS, with multiplication and division, you must go left to right, not multiplication then division.
90 x 12 - 53
1080 - 53
1027 is your answer
Answer:
the bottom left
Step-by-step explanation:
A linear function will have a constant slope so the bottom left graph is the only one with a constant slope. The y-values are all increasing by 2.
Answer: (3, 7)
Step-by-step explanation: The pattern seems to be dividing each axis by 2, so 6/2 = 3 and 14/2 = 7, making (3, 7)
Have a nice day! :)
Answer:
5.8
Step-by-step explanation:
tangent = opposite over adjacent
10*tan(30) ≈ 5.774
round to the nearest 10th
5.8
The value of 'x' is 24.2 and the value of 'y' is 46.5.
To solve this, we do the following steps.
<u>Step 1:</u> Divide 'y' into 2 parts, 'a' and 'b'. 'a' would be the lower leg of the 45°-45°-90° triangle, while 'b' is the lower leg of the 30°-60°-90° triangle.<em>
</em><u>Step 2:</u> Given the hypotenuse (34) of the 30°-60°-90° triangle, solve for 'b' using the cosine of 30°.
cos30° = b/34 [adjacent over hypotenuse]
b = 34cos30° [cross-multiply]
b = 29.4
<u>Step 3:</u> Solve for the 90° leg (the side opposite the 30° angle) using the Pythagorean Theorem. We will name this leg "h" (cuz height).
l² + l² = hyp²
29.4² + h² = 34²
h² = 1156 - 864.36
√h² = √291.64
h = 17.1
<u>Step 4:</u> Solve for 'x' by using the 45°-45°-90° triangle ratio (1:1:√2). √2 would be the hypotenuse of the 45°-45°-90° triangle, while 1 would be both congruent legs.
Side 'h' is one of the legs; side 'a' is the other. Since these legs are congruent, 'a' also measures 17.1. Now all we need to do is solve for 'x', which is our hypotenuse. To do this, we simply multiply the measure of side 'h' or 'a' by √2.
x = 17.1 × √2
x = 24.2
<u>Step 5:</u> Now that we got the value of 'x', solve for 'y' by adding the measures of sides 'a' and 'b' together.<em>
</em><u /> y = a + b
y = 17.1 + 29.4
y = 46.5
And there you have it! <em>Hope this helps.</em>
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