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3 years ago

Which statement could be represented by the expression 10g-5

Mathematics

2 answers:

zheka24 [161]3 years ago

4 0

Answer:

10 multiplied by a number is decreased by 5
The product of a number g and 10 is decreased by 5

Step-by-step explanation:

ira [324]3 years ago

4 0

Answer:

Five less than the product of ten and a number

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A 10-foot ladder leans against a wall so that it is 6 feet high at the top. The ladder is moved so that the base of the ladder t

konstantin123 [22]

Answer:

The top of the ladder is now at 10 ft.

Step-by-step explanation:

At the start, we have a height H=6, a length L=10 and a base B, that has to be calculated by the Pythagorean theorem:

$B^2=L^2-H^2=10^2-6^2=100-36=64\\\\B=\sqrt{64}=8$

The base is moved twice the distance the height moves up.

We called this distance x, so we have:

$L^2=(H+x)^2+(B-2x)^2=H^2+2Hx+x^2+B^2-4Bx+4x^2\\\\L^2=(H^2+B^2)+5x^2+(2H-4B)x\\\\L^2=L^2+5x^2+(2H-4B)x\\\\0=5x^2+(2H-4B)x\\\\5x+(2H-4B)=0\\\\x=\dfrac{4B-2H}{5}=\dfrac{4*8-2*6}{5}=\dfrac{32-12}{5}=\dfrac{20}{5}=4$

The new height (H+x) is

$H'=H+x=6+4=10$

The base travels 2x=8, so the new base B' is 0.

This means that the ladder is all against the wall (L=H').

6 0

3 years ago

Help me please! Will give to the brainiest.

nalin [4]

The correct answer is A

4 0

4 years ago

3. Given: ABCE is a rectangle. D is the midpoint of E.

Georgia [21]

Answer with Step-by-step explanation:

We are given that

ABCE is a rectangle .Rectangle is that quadrilateral in which opposite sides are equal and each is equal to 90 degrees.

D is the midpoint of E.

We have to prove that $AD\cong BD$

Statement:1 ABCE is a rectangle.D is the mid point of CE

Reason: Given

Statement 2: $\angle AED\cong \angle BCD$

Reason:By definition of rectangle

Statement:3 AE=BC

Reason: By definition of rectangle

Statement 4: $ED=DC$

Reason: By definition of midpoint because D is the midpoint of side EC

Statement 5: $\triangle AED\cong \triangle BCD$

Reason:SAS postulate

Statement: 6 $AD\cong BD$

Reason:CPCT

Hence proved.

7 0

3 years ago

1) Nat's grocery bill was $150, which included a 5% club

a_sh-v [17]

Answer:

$157.89

Step-by-step explanation:

you could say that 150 is 95% of what the original bill was

in equation form: 150 = .95x

150/.95 = 158.89

158.89 = x

3 0

2 years ago

Read 2 more answers

I need some help with the question

vagabundo [1.1K]

To solve this you first need to turn your mixed numbers into improper fractions. to do this for $9 \frac{4}{5}$ you multiply the denominator (5) by the whole number (9) to get 45 and then add that to the numerator (4) to get your new fraction $\frac{49}{5}$ .

You repeat this process with $3\frac{1}{2}$ to get $\frac{7}{2}$ .

Now that you have two fractions you can multiply by the opposite reciprocal. To do this you flip the second fraction and change the division sign to a multiplication sign like so $\frac{49}{5} * \frac{2}{7}$

Then, you just multiply the fractions by multiplying the numerators to get 98 and multiplying the denominators to get 35.

Now, to simplify $\frac{98}{35} * \frac{2}{7}$ you first divide both the numerator and denominator by 7 to get $\frac{14}{5} * \frac{2}{7}$ .

Finally, you can take 10 out of the numerator to make $2\frac{4}{5} * \frac{2}{7}$

8 0

4 years ago