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3 years ago

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an isosceles triangle is drawn with base angles 24 degrees and a base of 28 cm. Find the base angles of the isosceles triangle w

ith the same base but with treble the area.

1 answer:

Fofino [41]3 years ago

8 0

Answer:

Step-by-step explanation:

height = 14tan(24°)

area = 0.5(base)(height)

Find the angle that triples the height.

tanθ = 3×14tan(24°)

θ = arctan(3×14tan(24°)) ≅ 53.2°

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In a random sample of n1 = 162 males, there are x1 = 63 people that have blue eyes. In a random sample of n2 = 333 females, ther

sesenic [268]

Answer:

z = 2.1784 > 1.96,

Reject the null hypothesis

Step-by-step explanation:

For the males:

n1 = 162, x1 = 63

P1 = x 1/ n1 = 0.3889

For the Females:

n2 = 333,

x2 = 97

P 2 = x2/n2

= 0.2913

P 1= P2 Null hypothesis

P 1 is not equal to P 2 alternative hypothesis

Pooled proportion:

P= (x1 + x2) /( n1+ n2)

= (63 + 97) / (162 + 333)= 0.3232

Test statistics :

Z= (p1 - p2) /√p(1-p)× (1/n1 + 1/n2)

0.3889- 0.2913 / √0.3232 × 0.6768 × (1/162 +1/333)

=2.1784

c) Critical value :

Two tailed critical value, z critical = Norm.S .INV (0.05/2) = 1.960

Reject H o if z < -1.96 or if z > 1.96

d) Decision:

z = 2.1784 > 1.96,

Reject the null hypothesis

7 0

3 years ago

A manual with 325 pages has 3 pages without pictures.

Alexus [3.1K]

The percentage of the pages in the manual without pictures is 0.92%.

The number of the pages in the manual without pictures is 0.01

<h3>What are percentages?</h3>

Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. It is a measure of frequency.

<h3>What is the percentage of the pages without pictures? </h3>

Percentage = (number of pages without pictures / total number of pages) x 100 = 0.92%

To learn more about percentages, please check: brainly.com/question/25764815

8 0

2 years ago

Read 2 more answers

The cost in dollars y of producing x computer desks is given by y=80x+6000

Gnoma [55]

Answer:

(100,14000), (200, 22000), (300, 30000)

Step-by-step explanation:

y = 80x + 6000 ........ (1) is the equation which gives the cost (y) in dollars for making x number of computer desks.

Let, f(x) = 80x + 6000

So, f(100) = 80 × 100 + 6000 = 14000 {From equation (1)}

So, to produce 100 desks it costs $14000.

Again, f(200) = 80 × 200 + 6000 = 22000 {From equation (1)}

So, to produce 200 desks it costs $22000.

Again, f(300) = 80 × 300 + 6000 = 30000 {From equation (1)}

So, to produce 300 desks it costs $30000.

Then table will be (100,14000), (200, 22000), (300, 30000) (Answer)

5 0

3 years ago

Stacey wishes to make a hamburger which is lower in fat without having to give up the great taste. She purchases 5 pounds of gro

STALIN [3.7K]

Answer:

%P = 8%

the percentage of fat in the mixture is 8%

Step-by-step explanation:

Given;

The percentage of fat in the mixture is;

%P = total mass of fat in mixture/total mass of mixture × 100%

%P = F/T × 100% ….....1

Mass of fat in mixture is;

She purchases 5 pounds of ground beef which is 15% fat

F1 = 15% of 5 pounds = 0.15×5 pounds

F1 = 0.75 pound

and combines it with 7 pounds of ground turkey which is only 3% fat

F2 = 3% of 7 pounds = 0.03 × 7

F2 = 0.21 pound

Total mass F = F1 + F2

F = 0.75+0.21

F = 0.96 pound

Total mass of mixture T = 5 + 7 pounds

T = 12 pounds.

From equation 1,

%P = F/T × 100%

%P = 0.96/12 × 100%

%P = 0.08×100%

%P = 8%

the percentage of fat in the mixture is 8%

5 0

3 years ago

4267 divided by 31 in mixed number form

Rainbow [258]

Mixed Number Form:
<span>137 </span> $\frac{20}{31}$

8 0

3 years ago