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babunello [35]
3 years ago
8

Please can someone help me?

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
6 0

Answer:

∠ 3 = 90°

Step-by-step explanation:

∠ 3 and ∠ 4 are adjacent angles on a straight line and sum to 180° , then

∠ 3 + ∠ 4 = 180°

∠ 3 + 90° = 180° ( subtract 90° from both sides )

∠ 3 = 90°

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Solve for x. Round to the nearest hundredth.
Airida [17]

Answer: 32.98^{\circ}

Step-by-step explanation:

Since, By the given diagram,

In quadrilateral ABCD, all angles are right angles ⇒ DC = AB = 15 cm and CB = DA

Also, In triangle DFA,

sin 56^{\circ} = \frac{DA}{DF}

⇒ sin 56^{\circ} = \frac{DA}{16}

⇒ 16\times sin 56^{\circ}=DA

⇒ 13.2646011609\text{ cm} = DA

Now, In triangle, DEC,

tan x = \frac{EC}{DC}

⇒ tan x = \frac{EB-CB}{DC}

⇒ tan x = \frac{EB-DA}{DC}

⇒ tan x = \frac{23-13.2646011609}{15}  

⇒ tanx = \frac{9.73539883912}{15}

⇒ tanx = 0.64902658927

⇒ x = 32.9846428556^{\circ} \approx 32.98^{\circ}



3 0
3 years ago
Normal Distribution Problem. Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy
GarryVolchara [31]

Answer: a) 0.9332, b) 0.8944

Step-by-step explanation: the probability value attached to a z score is gotten by using a z distribution table.

The z score is gotten by making use of the formulae below

Z = x - u / σ

Where x = sample mean, u = population mean and σ = population standard deviation.

a)

For our question, u = 38, σ = 12, we are to look for the z score at z ≤ 56, that's x = 56

By substituting the parameters, we have that

z ≤ 56 = 56 - 38/ 12

z ≤ 56 = 18/12

z ≤ 56 = 1.5

To get the probabilistic value, we check the normal distribution table.

The table I'm using will be giving me probabilistic value towards the left of the area.

From the table, p ( z ≤ 56) = 0.9332.

b)

Z >23 = 23 - 38/ 12

Z >23 = - 15/ 12

Z >23 = - 1.25

The probability value of this z score is towards the right of the distribution but the table I'm using is only giving probability values towards the left.

Hence Z >23 = 1 - Z<23

From the table, Z<23 = 0.1056.

Z >23 = 1 - 0.1056

Z >23 = 0.8944

4 0
2 years ago
Read 2 more answers
5 (2a +7b) <br> Plss help I will give brainliest!!
skelet666 [1.2K]

Answer:

10a+35b

Step-by-step explanation:

distributive property

7 0
3 years ago
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) Iqra and her sister shared a large sandwhich. Iqra ate 3/5 of the sandwhich and her sister ate 1/7 of the sandwhich. What is t
kotegsom [21]

Answer:

2 more pieces because you can estimate 1/7 to 2 and 3/5 to 4

Step-by-step explanation:

6 0
3 years ago
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A truck is used to transport gravel. The box on the truck is a rectangular prism 11 ft long, 7 ft wide and 4 ft high. The box do
chubhunter [2.5K]

Answer:

308 cubic feet

Step-by-step explanation:

The box on the truck has dimensions 11 ft by 7 ft by 4 ft.

The volume of the box is:

V = L * W * H

V = 11 * 7 * 4

V = 308 cubic feet

The truck can transport 308 cubic feet of gravel.

8 0
3 years ago
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