The sides of a parallelogram are 40 feet and 70 feet long, and the smaller angle has a measure of 36º.
Find the length of the longer diagonal to the nearest whole number.
A.44ft
B.105 ft
C.69 ft
D.64 ft

Answers

Answer 1

Step-by-step explanation:

the longer diagonal is =

√(40²+70²+2(40)(70)cos 36°)

= √(1600+4900+5600(0.8))

= √ 6500 + 4530

= √11,030

= 105 ft


Related Questions

The graph of which function is the same as the graph of y= shifted to the right 5 units and shifted
up 2 units?

Answers

Answer:

y = 1/x-5 + 2

Step-by-step explanation:

Adding 2 will shift the graph up 2 units

Adding numbers to the x will shift the graph left, so subtract 5 to shift the graph to the right

The scatter plot shows the number of people visiting a walking track on 15 different days and the temperature on those days.
Temperature vs. Number of People
Visiting a Walking Track
40
35
30
25
20
15
10+
5+
0
40 45 50 55 60 65 70 75 80 85
Temperature (°F)
Select all the statements that correctly describe the data.
A. The data shows an outlier at 70 degrees.
B. The data shows a negative linear association.
C. The data shows a positive nonlinear association.
D. The data shows that, as the temperature at the track increases, more people visit.
E. The data shows that the temperature at the walking track depends on the number of people who visit.

Answers

Answer:

its just D or its D and E

Step-by-step explanation:

With this transformation the image is never congruent to the original.
A) Reflection
B) Translation
C) Dilation
D) Rotation

Answers

Answer:

C) Dilatation

Step-by-step explanation:

dilatation can make the image of the object bigger or smaller than the original.

dilation is the correct answer because it can get bigger or smaller and isn’t always going to stay the same

Solve for x.
I +27= -12
Enter your answer in the box
X

Answers

Answer:

you know that the coefficient of x is one so to find x the real equation is x+27= -12 so u cross over 27 to the right it will be -12-27=-39.

Which ordered pair is the solution to
the system of linear equations below?
(Lesson 8)
2x + y = -4
3x + 2y = -10

(0,4)
(6,-14)
(-3,2)
(2,-8)

Answers

Answer:

The fourth one! (2,-8).

GIVEN THAT AD = 5 and BC = 24, what is the radius of circle A?

Answers

Answer:

12

Step-by-step explanation:

B to C looks like your diameter so half of 24 is 12.

EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 100pts-

(if you put links or don't answer accordingly im reporting your account)

Answers

Answer:

c sorry if im wrong

Step-by-step explanation:

soryy if im wrong please forgive me if i am

Answer:

D.the diagonal bisect each other.Since bisectors divide the diagonals equally in two parts.

Help!! It's question 14

Answers

Answer:

200/120 = 5/3

5/3 x 3 = 5 oz

you can also do it this way:

3/120 = x/200

x = 600/120 = 5

Can someone help me with this please? Thanks :)

Answers

Answer:

I just did this question I got confused for a second maybe you have a classmate or someone on here lol! x = 6 measure EJF: 64 HOPE THAT HELPS!

Complete the square
to find the vertex
of this parabola.
y^2-4x-8y-12=0
([?], [ ])
No Links!!

Answers

Answer:

(-7,4)

Step-by-step explanation:

please help!!
The Pythagorean Identity states that:
(sin x)2 + (cos x)2 = 1
Given cos 0 = 9/10, find sin 0.
sin 0 = [ ? ] / [ ? ]
Simplify the fraction

Answers

Answer:

[tex] sin \theta = \frac{\sqrt {19}}{10} [/tex]

Step-by-step explanation:

[tex] ( \sin \theta) ^{2} + ( \cos \theta) ^{2} = 1 \\ \\ \therefore \:( \sin \theta) ^{2} + { \bigg( \frac{{9} }{10} \bigg)}^{2}= 1 \\ \\( \sin \theta) ^{2} + \frac{81}{100}= 1 \\ \\ ( \sin \theta) ^{2} = 1 - \frac{81}{100} \\ \\ ( \sin \theta) ^{2} = \frac{100 - 81}{100} \\ \\ ( \sin \theta) ^{2} = \frac{19}{100} \\ \\ \sin \theta = \sqrt{\frac{19}{100} } \\ \\ \sin \theta = \frac{\sqrt {19}}{10} [/tex]

1. a box contains 11 pink 8 blues and 9 orange marbles. If you pick two marbles without looking , what is the probability that the first will be orange and the second will be pink?

2. You accidentally dropped a coin from the top of 10 stairs. What is the probability that it will land heads up on the seventh step?

Answers

1. the probability of picking an orange marble is 35% and the probability of picking a pink marble second would be 66%

2. the probability is about 47%

Which of the following is equivalent to x2 – 7x + 10?
o (x+5) (x - 2)
o (x - 5)(x - 2)
O (x - 5)(x+2)
o (x+5)(x+2)

Answers

Step-by-step explanation:

(x - 5)(x - 2)

(x) (x)= x2

(-5x+-2x)=-7x

(-5)(-2)= 10

x2-7x+10

The expression that is equivalent to x² - 7x + 10  is (x - 5)(x - 2).

The correct option B.

To determine which expression is equivalent to x² - 7x + 10, we can factor the quadratic expression.

Using the Splitting the mid term

x² - 7x + 10 = 0

x² - 5x - 2x + 10 = 0

x(x-5) - 2 (x-5) = 0

(x - 2) (x-5 )= 0

Therefore, the expression that is equivalent to x² - 7x + 10  is (x - 5)(x - 2).

Learn more about Factorization here:

https://brainly.com/question/15304193

#SPJ6

Which of the expressions below is equal to 24/18? Select all that apply.Which of the expressions below is equal to 2418? Select all that apply.

Answers

Answer:

A, B, D

Step-by-step explanation:

Given that :

24 / 18 = 4 / 3 = 1.333

Comparing the options solutions for the options given :

3/9 ÷ 2/8 = 3/9 * 8/2 = 24 / 18 = 1.333

4/9 ÷ 2/6 = 4/9 * 6/2 = 24/18 = 1.333

5/6 ÷ 3/4 = 5/6 * 4/3 = 20 / 18

8/3 ÷ 6/3 = 8/3 * 3/6 = 24 / 18 = 1.333

Hence, expressions which are equal are :

A, B and D

HELP ME PLEASE

24d=12
What is d


-12c=12
What is c

Answers

d is 1/2 and c is -1

Help plz..And No links!! I repeat No links!!

Answers

Answer:

961.327 square inches

hundreth = 961.328

Step-by-step explanation:

if u want I can show you the steps

Answer:

V = approx 2035.75

what is the probability of rolling 15 with a pair of dice? answer in likely, unlikely, equally likely, or impossible

Answers

it is clearly impossible

It is impossible that the probability of rolling 15 with a pair of dice.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

Required the probability of rolling 15 with a pair of dice.

But we know that in the roll of a pair of fair dice,

Then the sample space is as follows:

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

Hence, It is impossible that probability of rolling 15 with a pair of dice.

Learn more about probability here;

https://brainly.com/question/11234923

#SPJ2

12. You are measuring the height of a Sitka spruce tree in Alaska. You stand 45 feet from the base of
the tree. You measure the angle of elevation from a point on the ground to the top of the tree
to be 59º. Estimate the height of the tree.

Answers

Answer:

tangent 59° = Tree height / 45 feet

Tree Height = 1.6643 * 45

Tree Height = 74.8935 Feet

Step-by-step explanation:

3. Airpods are priced at $89.46 after a 37% discount. What was the original price of the Airpods?

Answers

Answer:

the answer is 126.46 I think

Step-by-step explanation:

2000 restaurants will grow about 3% every year, what is the equation that represents it. Y = restaurants and t = years

Answers

Answer:

Y= PV*(1 + g)^t

Step-by-step explanation:

Giving the following information:

Number of Restaurants (PV)= 2,000

Growth rate (g)= 3%

To calculate the number of restaurants after t years, we need to use the following formula:

Y= PV*(1 + g)^t

For example, for 10 years:

Y= 2,000*(1.03^10)

Y= 2,688

Need explanation for this question please

Answers

The answer to this question is D.

The list price of a furnace is $2,468.00. The manufacturer offers a discount of 15 percent. The net price is

$2,097.80.

$370.20.

$209.78.

$3,702.00.

Answers

Answer:2,097.80

Step-by-step explanation: If you multiply the 2,468.00 to 0.85% you will get the answer of 2,097.80.

Answer:

$2,097.80

Step-by-step explanation:

$2,468.00 - 15%

$2,468.00 * 0.15 = $370.20

$2,468.00 - $370.20 = $2,097.80

(Just another way to do it)

There are two precalculus sections at a high school. Mr.​ Abel's class has 14 girls and 8 ​boys, while Mr.​ Bonitz's class has 12 girls and 12 boys. If a precalculus student chosen at random happens to be a​ girl, what is the probability she is from Mr.​ Abel's class?

Answers

Answer:

14/46

Step-by-step explanation:

Take(10 2+7−3)from(4 2−9+12)

Answers

Answer: -13

How to: Simplify the expression.

Answer:

0 is less than 2 is equal to 2

0/

1

< 2/

1

= 2/

1

Two congruent squares are shown in Figures 1 and 2 below. I need answer quick!

Answers

Answer:

The combined area of the shaded triangles in Figure 1 is equal to the combined area of the shaded triangles in Figure 2.  The area of the unshaded square in Figure 1 can be represented by 4c. The combined area of the two unshaded squares in Figure 2 can be  4a+4b. The areas of the squares in Figure 1 and Figure 2 show that 4a+4b=4c.

Step-by-step explanation:

iReady math diagnostic.


10) A 15% tip is left on a $72.25 dinner bill. How
much is the tip? Round to the nearest hundredth

Answers

10.84...................

find the x intercept of 3x²-5x-28=f(x)

Answers

Answer:

x+ 4, -7/3

Step-by-step explanation:

please help in this........​

Answers

Helloo!

I founded same type of question from Brainly! People who have been written this solving questions. Also search and check for this question on Brainly!! Or my advice to download course hero because there is so many subjects that you can work on it.

A boy has a weekend job advertising an upcoming play. He has 2 options for being paid. Option A is an hourly wage of $7.00. Option B is a 5% commission on all money made at the play she plans to work 8 hours each day on Saturday and Sunday. He estimates the play will make about $2,100 this weekend. Which option gives him more earnings this weekend?

Answers

Answer:

He would be paid more if he took the hourly wage//option A

Step-by-step explanation: hope this helps<3

Help!!!! I need help fast please you’ll get 20 points

Answers

I think the answer is the second on b
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