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3 years ago

14.8 - 4b - (17.1-3b)

Mathematics

1 answer:

kramer3 years ago

4 0

Answer:

-3.3

Step-by-step explanation:

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You’re given two side lengths of 10 centimeters and 8 centimeters. The angle between the sides measures 40°. How many triangles

Andreas93 [3]

Answer:

Only one triangle can be constructed.

Step-by-step explanation:

We are given two side lengths of a triangle of 10 cm and 8 cm. The angle between the sides of the triangle measures 40°.

With the above-given data only one unique triangle can be constructed.

And the length of the third side can be calculated using the property of triangle as

a² = 10² + 8² - 2 × 10 × 8 Cos 40° {Where a is the length of the third side}

⇒ a² = 41.43

⇒ a = 6.44 cm. (Answer)

4 0

3 years ago

g A probability experiment is conducted in which the sample space of the experiment is Upper S equals StartSet 9 comma 10 comma

Mars2501 [29]

Answer:

$P(E^c)=\dfrac{1}{3}$

Step-by-step explanation:

The sample space for the experiment is:

$S=\{9,10,11,12,13,14,15,16,17,18,19,20\}$

Number of elements in S, n(S)=12

Given an event E such that:

$E=\{10,11,12,13,14,15,16,17\}$

Number of elements in E, n(E)=8

The outcomes in the complement of E are the outcomes in S that are not in E.

$E^c=\{9,18,19,20\}$

Number of elements in the complement of E, $n(E^c)=4$

Therefore:

$P(E^c)=\dfrac{n(E^c)}{n(S)}\\ =\dfrac{4}{12}\\P(E^c)=\dfrac{1}{3}$

8 0

3 years ago

A safety regulation states that the height hh of a guardrail should be 106 centimeters with an absolute deviation of no more tha

AlexFokin [52]

Well 106 divided by 7 is 15 so 15 times 7 is 106

6 0

3 years ago

Find the taxable income of a married couple with three children, who have a combined income of $62,000.

xeze [42]

Answer :

taxable income is $30,300

Step-by-step explanation:

Given

The combine income of the husband and wife = $62,000

Number of children the couple has = 3

In order to find out the taxable income for an U.S. family, the following formula is used

taxable income = total income - exemption deduction - standard deduction

We know the exemption deduction for a married couple with three kids fixed according to the U.S. government is $19,500.

And the standard deduction for a married couple with three kids fixed according to the U.S. government is $12,200.

Therefore,

taxable income = total income - exemption deduction - standard deduction

= $62,000 - $19,500 - $12,200

= $30,300

Thus the taxable income is $30,300.

3 0

3 years ago

(a^3b^12c^2)*(a^5c^2)/(b^5c^4)^0=

drek231 [11]

I dont understand what yopu typed out.

8 0

3 years ago