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tangare [24]
2 years ago
7

An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, t

he altitude cuts the base into two equal segments. The length of the altitude is 11 inches, and the length of the base is 6 inches. Find the triangle’s perimeter. Round to the nearest tenth of an inch.
Mathematics
1 answer:
Juli2301 [7.4K]2 years ago
7 0

Answer:

math ez

Step-by-step explanation:

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Penelope has $1,459.75 in her bank account. To pay her bills, she writes 4 checks for $200.25, $359.45, $125, and $299.35. Then
sammy [17]
1,459.75 - 200.25 - 359.45 - 125.00 - 299.35 = 475.70

475.70 + 375.00 = 850.70

Her account balance after the bills and deposit is $850.70
8 0
2 years ago
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I don’t understand what I need to do in this problem or how to get the answers
ANTONII [103]

Answer:

2.5 is your answer.

Step-by-step explanation:

Since the given hypotenuse is 6.5 and one of the lengths is given as 6, we can use the equation a^2 +b^2 =c^2 to solve this. Plugging the numbers in, it would now be 6^2+b^2 =6.5^2, which would give you 36+b^2=42.25. Now, all you need to do is solve. Subtract 36 from 42.25, which will result in 6.25. Now, the equation is at b^2=6.25. All you need to do now is find the square root of 6.25, which would be 2.5, therefore giving you your answer.

5 0
2 years ago
Clark Heter is an industrial engineer at Lyons Products. He would like to determine whether there are more units produced on the
Alborosie

Answer:

Step-by-step explanation:

Let the subscripts d and n represent day and night respectively

The null hypothesis is

H0 : μd ≥ μn

The alternative hypothesis is

H1 : μd < μn

it is a one-tailed and also a right left test because of the greater than symbol in the alternative hypothesis.

The decision rule is to reject H0: μd ≥ μn If 0.10 > p value

Since the population standard deviations are known, we would use the formula to determine the test statistic(z score)

z = (xd - xn)/√σd²/nd + σn²/nn

Where

xd and xn represents sample means for day and night respectively.

σd and σn represents population standard deviations for day and night respectively.

nd and nn represents number of samples

From the information given,

xd = 334

xn = 341

σd = 23

σ2 = 28

nd = 60

nn = 68

z = (334 - 341)/√23²/60 + 28²/68

= - 7/√20.34607843138

z = - 1.55

From the normal distribution table, the probability value corresponding to the z score is 0.061

Since the level of significance, 0.1 > 0.061, we would reject H0

Therefore, there is enough evidence to conclude that there are more units produced on the night shift than on the day shift.

8 0
2 years ago
the vertices of ABC are points A(1,1), B(4,1), and C(4,5). find the cosines of the angles of the triangle.
pickupchik [31]

Answer:

  • cos(A) = 3/5
  • cos(B) = 0
  • cos(C) = 4/5

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation between the cosine of an angle and the sides of the triangle.

  Cos = Adjacent/Hypotenuse

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<h3>Angle A</h3>

In the given triangle, the hypotenuse is AC. The side adjacent to angle A is AB, so its cosine is ...

  cos(A) = AB/AC

  cos(A) = 3/5

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<h3>Angle B</h3>

The right angle in the triangle is angle B. The cosine of a right angle is 0.

  cos(B) = 0

__

<h3>Angle C</h3>

The side adjacent to angle C is CB, so its cosine is ...

  cos(C) = CB/AC

  cos(C) = 4/5

7 0
1 year ago
Read 2 more answers
Simplify expressions
charle [14.2K]
<h3>a) \frac{2}{5}  \div (  - \frac{3}{4} )</h3><h3>■Dividing a positive and a negative equals a negative: (+)÷(-)=(-)</h3>

<h2>-  \frac{2}{5}  \div  \frac{3}{4}</h2><h3>■To divide by a fraction, multiply by the reciprocal of that fraction</h3>

<h2>-  \frac{2}{5}  \times  \frac{4}{3}</h2><h3>■Multiply the fractions</h3>

<h2>-  \frac{8}{15}</h2>

<h3>Hence, Quotient =-  \frac{8}{15}</h3>

<h3>b) 0.4 \div  ( - 0.75)</h3><h3>■Convert the decimals into a fractions</h3>

<h2>\frac{2}{5}  \div ( -  \frac{3}{4} )</h2><h3>■Dividing a positive and a negative equals a negative: (+)÷(-)=(-)</h3>

<h2>-  \frac{2}{5}  \div  \frac{3}{4}</h2><h3>■To divide by a fraction, multiply by the reciprocal of that fraction</h3>

<h2>-  \frac{2}{5}  \times  \frac{4}{3}</h2><h3>■Multiply the fractions</h3>

<h2>-  \frac{8}{15}</h2><h3>Hence, Quotient is -  \frac{8}{15}</h3>

<h3>c)-  \frac{2}{5}  \div  \frac{3}{4}</h3><h3>■To divide by a fraction, multiply by the reciprocal of that fraction</h3>

<h2>-  \frac{2}{5}  \times  \frac{4}{3}</h2><h3>■Multiply the fractions</h3>

<h2>-  \frac{8}{15}</h2><h3>Hence, The Quotient is -  \frac{8}{15}</h3>
4 0
2 years ago
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