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4 years ago

Please solution it allplease please please please please please

Mathematics

1 answer:

Dmitry_Shevchenko [17]4 years ago

8 0

3. Hypotenuse 8m, the usual 45/45/90 triangle sides in ratio 1:1:√2. So we're 8/√2 = 4√2 from the wall.

Answer: 4√2 meters

4. 30/60/90 right triangle, sides in ratio 1:√3:2. Hypotenuse 50m, we're after the side opposite 60, so 50/√3 = (50/3) √3

Answer: (50/3)√3 meters

5. 45/45/90 again, ratio 1:1:√2. Leg 3 cm so hypotenuse 3√2

Answer: 3√2 cm

6. The altitude divides the triangle into two 30/60/90 triangles, ratio 1:√3:2.

The side length s of the original equilateral triangle is the hypotenuse and the altitude h is the long leg, so h= (√3/2) s.

Answer: a. 3√3 cm b. 2√3 cm c. 5√3 cm

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from two points one on each leg of an isosceles triangle perpendicular are drawn to the base prove that the triangles formed are

puteri [66]

The description below proves that the perpendicular drawn from the vertex angle to the base bisect the vertex angle and base.

<h3>How to prove an Isosceles Triangle?</h3>

Let ABC be an isosceles triangle such that AB = AC.

Let AD be the bisector of ∠A.

We want to prove that BD=DC

In △ABD & △ACD

AB = AC(Thus, △ABC is an isosceles triangle)

∠BAD =∠CAD(Because AD is the bisector of ∠A)

AD = AD(Common sides)

By SAS Congruency, we have;

△ABD ≅ △ACD

By corresponding parts of congruent triangles, we can say that; BD=DC

Thus, this proves that the perpendicular drawn from the vertex angle to the base bisect the vertex angle and base.

Read more about Isosceles Triangle at; brainly.com/question/1475130

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4 0

2 years ago

Find m angle T, rounded to the nearest degree

Butoxors [25]

Answer: First option.

Step-by-step explanation:

You can use the inverse tangent function to find the value of the angle T:

$\alpha=arctan(\frac{opposite}{adjacent})$

You can identify in the figure that:

$\alpha=T\\opposite=RG=8\\adjacent=TR=15$

Then, knowing these values, you can substitute them into $\alpha=arctan(\frac{opposite}{adjacent})$ .

Therefore, you get that the value of the angle T rounded to the nearest degree is:

$T=arctan(\frac{8}{15})\\\\T=28\°$

This matches with the first option.

6 0

3 years ago

Keisha reads a label on a measuring cup that shows 16 fluid ounces is the same as 2 cups.

valina [46]

Answer:

28 fl oz

Step-by-step explanation:

2cups(c, from here on)=16

2c/2=c, and 16/2=8

c=8.

3.5*8= 28

3.5c=28

4 0

3 years ago

Write one thousand thirty and forty-two thousandths in standard form.

lana66690 [7]

1.033x10^3 4.2x10^4
I hope they are right !! :)

7 0

3 years ago

A culture started with 3000 bacteria. After 2 hours it grew to 3300 bacteria. Predict how many bacteria will be present after 16

bixtya [17]

Answer:

$6,430\ bacteria$

Step-by-step explanation:

we have a exponential function of the form

$y=a(1+r)^{x}$

where

y is the population of bacteria

a is the initial value

r is the rate of growth

x is the number of hours

we have

a=3,000 bacteria

$y=3,000(1+r)^{x}$

For x=2, y=3,300

substitute

$3,300=3,000(1+r)^{2}$

$(3,300/3,000)=(1+r)^{2}$

Apply square root both sides

$1+r=\sqrt{3.3/3}$

$r=\sqrt{3.3/3}-1$

$r=0.0488$

$r=4.88\%$

substitute in the equation

$y=3,000(1+0.0488)^{x}$

$y=3,000(1.0488)^{x}$

<u><em>Predict how many bacteria will be present after 16 hours</em></u>

For x=16 hours

substitute

$y=3,000(1.0488)^{16}$

$y=6,430\ bacteria$

6 0

4 years ago

Please solution it allplease please please please please please ​

Please solution it allplease please please please please please