Mathematics: If GHI is 78 what is the measure of GHI after the dilation

If GHI is 78 what is the measure of GHI after, №14853536, 08.03.2021 12:04

Mathematics

I need help with these answers please just 3 questions that in the pictures, 1. In right triangle DEF, ∠E is a right angle, m∠D=26∘, and DF=4.5. sin26∘≈0.44 cos26∘≈0.90 tan26∘≈0.49 Triangle D E F with measures as described in the text What is the measurement of EF? If necessary, round your answer to two decimal places, like this: 42.53 . 2. In right triangle ABC, ∠C is a right angle, m∠A=52∘, AC=10.01, and AB=c. sin52∘≈0.788 cos52∘≈0.616 tan52∘≈1.280 Triangle A B C with measures as described in the text. What is the measurement of AB? If necessary,

Step-by-step answer

P Answered by PhD

3

9514 1404 393

EF = 1.98AB = 16.25HI = 12.22

Step-by-step explanation:

The mnemonic SOH CAH TOA is useful for these. It reminds you of the relations between sides and trig functions in a right triangle.

__

1. The side of interest is opposite the given angle. The given side is the hypotenuse.

Sin = Opposite/Hypotenuse

sin(26°) = EF/DF = EF/4.5

EF = 4.5·sin(26°) = 4.5·0.44 = 1.98 . . . units

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2. The given side is adjacent to the given angles. The desired length is that of the hypotenuse.

Cos = Adjacent/Hypotenuse

cos(52°) = AC/AB = 10.01/c

c = 10.01/cos(52°) = 10.01/0.616 ≈ 16.25 . . . units

__

3. The given side is opposite the given angle, and the desired side length is adjacent to the given angle.

Tan = Opposite/Adjacent

tan(42°) = 11/HI

HI = 11/tan(42°) = 11/0.90 = 12.22 . . . units

Mathematics

I need help with these answers please just 3 questions that in the pictures, 1. In right triangle DEF, ∠E is a right angle, m∠D=26∘, and DF=4.5. sin26∘≈0.44 cos26∘≈0.90 tan26∘≈0.49 Triangle D E F with measures as described in the text What is the measurement of EF? If necessary, round your answer to two decimal places, like this: 42.53 . 2. In right triangle ABC, ∠C is a right angle, m∠A=52∘, AC=10.01, and AB=c. sin52∘≈0.788 cos52∘≈0.616 tan52∘≈1.280 Triangle A B C with measures as described in the text. What is the measurement of AB? If necessary,

Step-by-step answer

P Answered by PhD

3

9514 1404 393

EF = 1.98AB = 16.25HI = 12.22

Step-by-step explanation:

The mnemonic SOH CAH TOA is useful for these. It reminds you of the relations between sides and trig functions in a right triangle.

__

1. The side of interest is opposite the given angle. The given side is the hypotenuse.

Sin = Opposite/Hypotenuse

sin(26°) = EF/DF = EF/4.5

EF = 4.5·sin(26°) = 4.5·0.44 = 1.98 . . . units

__

2. The given side is adjacent to the given angles. The desired length is that of the hypotenuse.

Cos = Adjacent/Hypotenuse

cos(52°) = AC/AB = 10.01/c

c = 10.01/cos(52°) = 10.01/0.616 ≈ 16.25 . . . units

__

3. The given side is opposite the given angle, and the desired side length is adjacent to the given angle.

Tan = Opposite/Adjacent

tan(42°) = 11/HI

HI = 11/tan(42°) = 11/0.90 = 12.22 . . . units

Mathematics

In right triangle ABC, ∠C is a right angle, m∠A=52∘, AC=10.01, and AB=c. sin52∘≈0.788 cos52∘≈0.616 tan52∘≈1.280 What is the measurement of AB? In right triangle GHI, ∠H is a right angle, m∠I=42∘, and GH=11. sin42∘≈0.67 cos42∘≈0.74 tan42∘≈0.90 What is the measurement of HI?

Step-by-step answer

P Answered by PhD

9514 1404 393

AB = 16.25HI = 12.22

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relevant relationships.

__

1. Cos = Adjacent/Hypotenuse

cos(52°) = AC/AB

AB = AC/cos(52°) = 10.01/0.616

AB = 16.25

__

2. Tan = Opposite/Adjacent

tan(42°) = GH/HI = 11/HI

HI = 11/tan(42°) = 11/0.90

HI ≈ 12.22

Mathematics

In right triangle ABC, ∠C is a right angle, m∠A=52∘, AC=10.01, and AB=c. sin52∘≈0.788 cos52∘≈0.616 tan52∘≈1.280 What is the measurement of AB? In right triangle GHI, ∠H is a right angle, m∠I=42∘, and GH=11. sin42∘≈0.67 cos42∘≈0.74 tan42∘≈0.90 What is the measurement of HI?

Step-by-step answer

P Answered by PhD

9514 1404 393

AB = 16.25HI = 12.22

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relevant relationships.

__

1. Cos = Adjacent/Hypotenuse

cos(52°) = AC/AB

AB = AC/cos(52°) = 10.01/0.616

AB = 16.25

__

2. Tan = Opposite/Adjacent

tan(42°) = GH/HI = 11/HI

HI = 11/tan(42°) = 11/0.90

HI ≈ 12.22

Mathematics

Refer to the following study and the SAS output: Aerobic fitness is measured by the ability to consume oxygen. Collecting oxygen consumption measurements data to investigate aerobic fitness can be expensive and cumbersome. A study was conducted at North Carolina State University to examine which measurements from simple exercise tests could be used to predict aerobic fitness. The sample consisted of 31 men involved in a physical fitness course at North Carolina State University. The oxygen intake rate (ml per kg body weight per minute) was measured

Step-by-step answer

P Answered by PhD

1- c. Two-way ANOVA

2- a. 1

3- c. 78.1%

4- 48.9

Step-by-step explanation:

ANOVA is a statistical technique designed to test mean of one or more quantitative populations. In two-way ANOVA it equals the block mean. Column block means square is three-way ANOVA.

Oxygen intake rate varies for different people. It also depends on the age factor. Oxygen intake rate is indicator of normal function of cells. A 48 year old man breath slower than a younger man. The babies breathe faster than adults.

Mathematics

Refer to the following study and the SAS output: Aerobic fitness is measured by the ability to consume oxygen. Collecting oxygen consumption measurements data to investigate aerobic fitness can be expensive and cumbersome. A study was conducted at North Carolina State University to examine which measurements from simple exercise tests could be used to predict aerobic fitness. The sample consisted of 31 men involved in a physical fitness course at North Carolina State University. The oxygen intake rate (ml per kg body weight per minute) was measured

Step-by-step answer

P Answered by PhD

1- c. Two-way ANOVA

2- a. 1

3- c. 78.1%

4- 48.9

Step-by-step explanation:

ANOVA is a statistical technique designed to test mean of one or more quantitative populations. In two-way ANOVA it equals the block mean. Column block means square is three-way ANOVA.

Oxygen intake rate varies for different people. It also depends on the age factor. Oxygen intake rate is indicator of normal function of cells. A 48 year old man breath slower than a younger man. The babies breathe faster than adults.

Chemistry

Method to measure soluble organic carbon in seawater includes oxidation of the organic materials to CO2 with K2S2O8, followed by gravimetric determination of the CO2 trapped by a column of Ascarite. A water sample weighing 6.234 g produced 2.378 mg of CO2 (FM 44.009). Calculate the ppm carbon in the seawater.

Step-by-step answer

P Answered by Specialist

4

The ppm carbon in the seawater is 104.01.

Explanation:

Mass of seawater = 6.234 g

Mass of carbon dioxide gas produced = 2.378 mg = 0.002378 g

1 mg = 0.001 g

Moles of carbon dioxide gas = $\frac{0.002378 g}{44.009 g/mol}=5.4034\times 10^{-5} mol$