2 years ago

In △WXY , WX=14.1 inches, WY=7.8 inches, and m∠W=52∘ .

Mathematics

1 answer:

Ghella [55]2 years ago

8 0

Answer:

43.3 square inches

Step-by-step explanation:

Given two sides <em>a</em> and <em>b</em> and the angle α between them, the area of the triangle can be computed as ...

A = (1/2)ab·sin(α)

Putting the given values into the formula gives ...

A = (1/2)(14.1 in)(7.8 in)sin(52°) ≈ 43.3 in²

The area of the triangle is about 43.3 square inches.

You might be interested in

At the parents evening the ratio of mums to dads was 3:2. Out of 500 appointments how many were with mums?

guajiro [1.7K]

Answer:

300

Step-by-step explanation:

Sum the parts of the ratio : 3 + 2 = 5 parts

Divide the number of appointments by 5 to find the value of one part of the ratio, that is

$\frac{500}{5}$ = 100 ← value of 1 part of the ratio

The mums consisted of 3 parts, hence

3 × 100 = 300 ← appointments with mums

3 0

2 years ago

What else would need to be congruent to show that STU is congruent to JKL by SAS? tysm! :)

lyudmila [28]

Answer:

Choice C.

Step-by-step explanation:

You already have two sides and two angles. Now you need the other two sides that include the angle. Choice C is correct.

7 0

2 years ago

Read 2 more answers

A researcher studying koi fish collected data on three variables, A, B, and C. The following residual plots show the residual fo

netineya [11]

Answer: A Only

Step-by-step explanation:

To determine that a linear model is appropriate, the residual plot should be randomly dispersed.

8 0

2 years ago

Read 2 more answers

The vertices of ΔRST are R(–1,–1), S(–1,11) and T(4,11). Which could be the side lengths of a triangle that is similar but not c

Step2247 [10]

The side lengths could be 10, 24 and 26 units.

We must first find the side lengths. We use the distance formula to do this.

For RT:
$d=\sqrt{(11--1)^2+(-1--1)^2}
\\=\sqrt{(11+1)^2+(-1+1)^2}
\\=\sqrt{12^2+0^2}=\sqrt{144}=12$

For ST:
$d=\sqrt{(11-11)^2+(4--1)^2}
\\=\sqrt{0^2+(4+1)^2}=\sqrt{5^2}=\sqrt{25}=5$

For TR:
$d=\sqrt{(11--1)^2+(4--1)^2}
\\=\sqrt{(11+1)^2+(4+1)^2}=\sqrt{12^2+5^2}=\sqrt{144+25}=\sqrt{169}=13$

Our side lengths, from least to greatest, are 5, 12 and 13.

To be similar but not congruent, the side lengths must have the same ratio between corresponding sides but not be the same length. 10, 24 and 26 are all 2x the original side lengths, so this works.

5 0

2 years ago

If i know a real root of f(x) = x3 -6x2 + 11x – 6 is neither 1, even, or negative, a good guess would be?

goldfiish [28.3K]

3.
________________________

4 0

2 years ago