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3 years ago

15. Write the decimal as a fraction or mixed number in simplest form. 4.28

Mathematics

1 answer:

Ann [662]3 years ago

6 0

Answer:

4 7/25

Step-by-step explanation:

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Eight girls recieved 3 book each. Six boys each recieved 1 book more than each girl. How many book in all were given to them....

kirza4 [7]

Answer:

Step-by-step explanation:

8 girls x 3books = 24.....

6boys x 4books = 24...( 48 i think would be the answer

3 0

3 years ago

Use the distributive property to remove the parentheses.<br> -3(-4v- 2u+1)

densk [106]

Answer:

12v6u-3

Step-by-step explanation:

-3 times -4 is positive 12

-3 times -2 is positive 6

-3 times positive 1 is negative 3

7 0

3 years ago

Given: △ABC, AB=5 sqrt 2 m∠A=45°, m∠C=30° Find: BC and AC will give brainliest!!! By the way the answer is not 5 and 3.66

Makovka662 [10]

Answer:

Therefore,

$BC=a=10\ units\\\\AC=b=13.66\ units$

Step-by-step explanation:

Consider a Δ ABC with

m∠ A = 45°

m∠ C = 30°

AB = c = 5√2

To Find:

BC = a = ?

AC = c = ?

Solution:

Triangle sum property:

In a Triangle sum of the measures of all the angles of a triangle is 180°.

$\angle A+\angle B+\angle C=180\\\\45+30+\angle B=180\\\ttherefore m\angle B =180-75=105\°$

We know in a Triangle Sine Rule Says that,

In Δ ABC,

$\frac{a}{\sin A}= \frac{b}{\sin B}= \frac{c}{\sin C}$

substituting the given values we get

$\frac{a}{\sin 45}= \frac{b}{\sin 105}= \frac{5\sqrt{2} }{\sin 30}$

∴ $\frac{a}{\sin 45}= \frac{5\sqrt{2} }{\sin 30}\\\\a=\sin 45\times \frac{5\sqrt{2} }{\sin 30}\\\\a=\frac{1}{\sqrt{2} }\times \frac{5\sqrt{2} }{0.5} \\\\\\a=\frac{5}{0.5} =10\\\therefore BC = a = 10\ units$

Similarly for 'b',

$\frac{b}{\sin 105}= \frac{5\sqrt{2} }{\sin 30}\\\frac{b}{0.9659}= \frac{5\sqrt{2} }{0.5}\\\\b=0.9659\times \frac{5\sqrt{2} }{0.5}\\\\b=\frac{6.8301}{0.5} \\\\b=13.66\\\therefore AC = b =13.66\ units\\$

Therefore,

$BC=a=10\ units\\\\AC=b=13.66\ units$

8 0

3 years ago

Triangles A B C and H G L are congruent. Angles A B C and H G L are right angles. The length of hypotenuse A C is 15 and the len

Lisa [10]

Answer:

x = 4

Therefore, for the triangles to be congruent by HL, the value of x must be 4.

Step-by-step explanation:

Given: ΔABC and ΔHGL are congruent. ∠ABC = ∠HGL = 90°.

Length of hypotenuse AC = 15

Length of hypotenuse HL = 3x + 3

Length of AB = 9, Length of BC = 12 and Length of GL = 2x + 1.

Sol: ∵ ΔABC ≅ ΔHGL

Length of HL = Length of AC (corresponding parts of congruent triangles)

3x + 3 = 15

3x = 15 - 3

3x = 12

x = 12/3 = 4

Therefore, for the triangles to be congruent by HL, the value of x must be 4.

5 0

3 years ago

Hi, I need help?!!!!

katovenus [111]

Answer:

1500 minutes

Step-by-step explanation:

1 meter = 100 centimeters

1.5 meters = 150 centimeters

30 cm = 30 minutes

30 * 50 = 1500 minutes

1500 minutes

5 0

3 years ago