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2 years ago

Analyze the diagram below and complete the instructions that follow.

Mathematics

1 answer:

steposvetlana [31]2 years ago

5 0

Answer:

71°

Step-by-step explanation:

84+(2x-1)+(x+8)+(x+5)=360 [angles in a quadrilateral add to 360°]
4x+96=360 [combine like terms]
4x=264 [subtract 96 from both sides]
x=66 [divide both sides by 4]

So, angle A measures 66+5=71°

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Practice Triangle Ratios (Sides) Find the value of c. Round to the nearest tenth!

Lunna [17]

Answer:

30.67

Step-by-step explanation:

Given the following

Opposite side = x

Adjacent = 17

Angle = 61degrees

Using the SOH CAH TOA identity

tan theta = opp/adj

tan 61 = x/17

x = 17tan61

x = 17(1.8040)

x = 30.67

Hence the value of x is 30.67

4 0

3 years ago

Because sample means were being tested, the ___ is used to calculate the z-score

Vinvika [58]

Because sample means were being tested, the bell curve is used to calculate the z-score

6 0

3 years ago

Read 2 more answers

Can someone please help me?

adoni [48]

Answer:

2. x = 3

3. x = 10 and y =2

Step-by-step explanation:

From inspection, we can see that EF = 10 and KL = 5

Therefore the ratio KL : EF = 5 : 10 = 5/10 = 1/2

This means that the side measures of ΔJKL are 1/2 the corresponding side measures of ΔGEF

Therefore, if GF = 22, then JL = 22 ÷ 2 = 11

So: 2x + 5 = 11

⇒ 2x = 11 - 5 = 6

⇒ x = 6 ÷ 2 = 3

x = 3

From inspection, we can see that DF = 12 and HJ = 9

Therefore the ratio DF : HJ = 12 : 9 = 12/9 = 4/3

This means that the side measures of ΔDEF are 4/3 times the corresponding side measures of ΔHGJ

Therefore, if HG = 6, then DE = 6 x 4/3 = 8

So: 2y + 4 = 8

⇒ 2y = 8 - 4 = 4

⇒ y = 4 ÷ 2 = 2

y = 2

Similarly, if GJ = 24, then EF = 24 x 4/3 = 32

So: 4x - 8 = 32

⇒ 4x = 32 + 8 = 40

⇒ x = 40 ÷ 4 = 10

x = 10

7 0

2 years ago

Andre is making paper cranes to decorate for a party. He plans to make one large paper crane and several small paper cranes. It

il63 [147K]

Andre can make 6 small paper cranes in 30 minutes.

Step-by-step explanation:

Given data-

Time taken by Andre to build small cranes- 3minutes

Time taken to build large crane- 10 minutes

Total time allotted to him= 30 min

His preferences- Building one large crane and several small cranes.

The Inequality equation is 3c + 10 ≤ 30

Since his preference is to build atleast one large crane which takes 10 minutes, he is left with 30-10 = 20 minutes to build other small cranes.

For one crane he needs, 3 minutes

Hence, he can build 6 cranes in 18 minutes. Following this, he is left with 20-18= 2 minutes. Since he needs at least 3 min to build a small crane, he cannot build a small crane in the remaining 2 min.

he builds 6 small cranes in 30 minutes

Alternatively,

3c + 10 ≤ 30

Subtracting 10 from both sides

3c ≤ 20

The maximum value of c for which this equation remains valid is 6.

Thus, he builds a total of 6 cranes (small) in 30 minutes.

5 0

3 years ago

Given 1+cosx\sinx+sinx\1+cosx=4, find a numerical value of one trigonometric function of x.

Len [333]

Answer:

Option d. $sin(x)=\frac{1}{2}$

Step-by-step explanation:

The complete question is

Given (1+cosx)/(sinx) + (sinx)/(1+cosx) =4, find a numerical value of one trigonometric function of x.

a. tanx=2

b. sinx=2

c. tanx=1/2

d. sinx=1/2

we have

$\frac{1+cos(x)}{sin(x)}+\frac{sin(x)}{1+cos(x)}=4$

Find the common denominator and adds the fractions

$\frac{(1+cos(x))^2+sin^2(x)}{(1+cos(x))sin(x)}=4$

Expanded the numerator

$\frac{(1+2cos(x)+cos^2(x)+sin^2(x)}{(1+cos(x))sin(x)}=4$

Remember that

$sin^2(x)+cos^2(x)=1$ ----> trigonometric identity

substitute

$\frac{1+2cos(x)+1}{(1+cos(x))sin(x)}=4$

$\frac{2+2cos(x)}{(1+cos(x))sin(x)}=4$

Factor 2 in the numerator

$\frac{2(1+cos(x))}{(1+cos(x))sin(x)}=4$

Simplify

$\frac{2}{sin(x)}=4$

$sin(x)=\frac{1}{2}$

7 0

3 years ago