What percentage of all students prefer hot dogs? 2.5% 27.5% 30% 45.5% 55%

9. In a rhombus whose side measures 34 and the smaller angle is 42°. Find the length of the larger diagonal, to the nearest tent

Veseljchak [2.6K]

Answer:

63.5

Step-by-step explanation:

The diagonals of a rhombus bisect opposite angles.

The longer diagonal bisects the 42° angle

The larger angle of the rhombus is 180 - 42 = 138

Let x = the length of the longer diagonal

You know two sides and the included angle of a triangle.

Using the law of cosines we get

$x^{2} = 34^{2} + 34^{2} -2(34)(34) cos 138\\ = 1156 + 1156 - 2312 cos 138\\ = 4030.150837...\\x = \sqrt{4030.150837} = 63.48$ $x^{2} = 34^{2} + 34^{2} -2(34)(34)cos 138\\ = 1156 + 1156 - 2312 cos 138\\ = 4030.1508...\\ x = \sqrt{4030.1508} \\ = 63.48$ x^2 = 34^2 + 34^2 - 2(34)(34) cos 138

= 1156 + 1156 - 2312 c0s 138

= 4030.1508...

x = sq rt 4030.1508...

= 63.5

7 0

2 years ago

A recipe for sugar cookies requires 2 cups of flour for every 2/3 cups of sugar. At this rate, how many cups of sugar should be

Delicious77 [7]

2.5 2 cup servings of flour are used. For every serving of flour, there are 2/3 cups of sugar. So, we need to use 2.5 servings of sugar, too. (2/3)*2.5= 5/3, or 1.6666.... cups of sugar.

7 0

3 years ago

Read 2 more answers

2,45,250 students appeared for an entrance examination. If 94,750 students did not get admission, find how many students got adm

Lorico [155]

Answer:

2.45.250- 94.750

= 92. 2975. this is the learners who got the admission

6 0

3 years ago

Read 2 more answers

Colin buys a car for £45500. It depreciates at a rate of 6% per year. How much will it be worth in 3 years? Give your answer to

natali 33 [55]

Answer:

yes

Step-by-step explanation:

the answer is 37,490.00 because over the span of 3 years the car would be worth 8,010.00 less

7 0

2 years ago

URGENT] What is the perimeter of the figure? 28 m 22 m 20 m 14 m

Jet001 [13]

The perimeter of given figure is 20 meters.

Step-by-step explanation:

Given lengths of shape are;

3m, 4m, 7m, 1m, 5m

We have to find the perimeter of the shape.

A perimeter is the length of outline or boundary of any shape.

Perimeter of the shape = Sum of lengths

Perimeter of the shape = $3+4+7+1+5$

Perimeter of the shape = 20 meters

The perimeter of given figure is 20 meters.

Keywords: addition, perimeter

Learn more about addition at:

#LearnwithBrainly

8 0

3 years ago