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mrs_skeptik [129]
3 years ago
8

Estimate the answers to these calculations (167.8 x 24) /38

Mathematics
1 answer:
slega [8]3 years ago
5 0

Answer:

105.978947368

Step-by-step explanation:

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The two non-parallel sides of an isosceles trapezoid are each 7 feet long. The longer of the two bases measures 22 feet long. Th
Orlov [11]

The length of the diagonal and the shorter base are 17. 24 feet and 18. 7 feet long respectively.

<h3>How to determine the length</h3>

The cosine rule is given as;

c = \sqrt{a^2 + b^2 - 2ab cos \alpha }

c = length of the diagonal

a = base length = 22 feet

b = 7 feet

c = \sqrt{7^2 + 22^2 - 2 * 7 * 22 cos 40}

c = \sqrt{533 - 308 * 0. 7660}

c = \sqrt{533 - 235. 93}

c = \sqrt{297. 072}

c = 17. 24 feet

Using sine rule

\frac{a}{sin A }  = \frac{c}{sin C}

\frac{a}{sin 70}  = \frac{17. 24}{sin 40}

Cross multiply

a × sin 60 = c × sin 70

a × 0. 8660 = 17. 24 × 0. 9397

a = \frac{16. 20}{0. 8660}

a = 18. 7 feet long

Thus, the length of the diagonal and the shorter base are 17. 24 feet and 18. 7 feet long respectively.

Learn more about  isosceles trapezoid here:

brainly.com/question/10187910

#SPJ1

5 0
1 year ago
the larger triangle is a dilation of the smaller triangle with a center of dilation at (2,-1). Whatbis the scale factor of the d
leva [86]
I think it’s 2. You can see this because if you count the squares in the smaller triangle it is 3 along. You would then need to double the amount of squares on all sides. This makes the larger triangle now 6 squares along. 6/3 is 2 making the scale factor 2. (This is only if I have read the question correctly and we are calculating small to big. If I have read it wrong and it is big to small it would be 1/2)
5 0
3 years ago
Someone please help me asap !!!!
Naily [24]
1 pint = 2 cups = 2(8 fluid ounces) = 16 fluid ounces= 16(2 tablespoons)= 32 table spoons.

so, 5 pints= 5*32 tablespoons = 160 tablespoons
7 0
3 years ago
Find all of the critical points of p (t). p (t) = t 2 + 5t + 6.
svp [43]

Please, use " ^ " to denote exponentiation: p(t) = t^2 + 5t + 6.

To find the critical points, differentiate p(t) with respect to t, set the result = to 0, and then solve the resulting equation for t:

p '(t) = 2t + 5 = 0

Solving for t: 2t = -5, and so t = -5/2. (-5/2, p(-5/2)) is the critical point. That evaluates to (-5/2, -0.25). This happens to be the vertex of a parabola that opens up.

8 0
3 years ago
According to the fundamental theorem of algebra, how many zeros does the function f(x) = 15x17 + 41x12 + 13x3 − 10 have?
liberstina [14]
The fundamental theorem of algebra states that a polynomial of degree has exactly n roots (including complex and multiple).
The degree of a polynomial is the highest (non-negative) exponent of the polynomial, in this case is 17 from the term 15x^17.
3 0
2 years ago
Read 2 more answers
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