MATHEMATICS HIGH SCHOOL

Increase £16870 by 3%
Give your answer rounded to 2 DP

Answers

Answer 1

Answer:

New value =

16,870 + Percentage increase =

16,870 + (3% × 16,870) =

16,870 + 3% × 16,870 =

(1 + 3%) × 16,870 =

(100% + 3%) × 16,870 =

103% × 16,870 =

103 ÷ 100 × 16,870 =

103 × 16,870 ÷ 100 =

1,737,610 ÷ 100 =

17,376.1

Rounded to 2 DP: 17376.10

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Hope this helps! Stay safe, have a good day :D

Answer 2

Answer:

Answer:

17376.1 euros

Step-by-step explanation:

100%=16870

103%=x

103% x 16870=1737610/100=17376.1

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Let f(x)=9x-2 and g(x)=-x+3. find f(g(x)).

Answers

$f(g(x))=9(-x+3)-2 \n f(g(x))= -9x+27-2 \n f(g(x))= -9x+25$

$f(x)=9x-2;\ g(x)=-x+3\n\nf(g(x))=9(-x+3)-2=-9x+27-2=-9x+25$

What is the answer of this equation

Answers

Put it in an improper fraction by multiply the coefficient with the denominator and add the numerator.
5/2 , 14/3
Find a common denominator which would be 6.
5/2 = 15/6 , 28/6
Add those together.
15/6 + 28/6 = 43/6
Since it can't be simplified the answer is 43/6

Select the correct answer from the drop-down menu.Consider the absolute value function /x)=-+2-2.
The vertex of the function is
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Next

Answers

Answer:

(-2, -2)

Step-by-step explanation:

Compare the two functions ...

f(x) = -|x +2| -2

f(x) = a·g(x -h) +k

where f(x) is a translation and scaling of function g(x). Here, you have ...

g(x) = |x|

The scale factor is a = -1.

The horizontal shift is h = -2.

The vertical shift is k = -2.

_____

The original vertex at (0, 0) has been shifted by (h, k) to ...

(0, 0) + (h, k) = (0, 0) + (-2, -2) = (-2, -2).

Answer:

(-2,-2)

Step-by-step explanation:

I took a test and got it right

A tree casts a shadow 10 ft long. A boy standing next to the tree casts a shadow 2.5 ft long. The triangle shown for the tree and its shadow is similar to the triangle shown for the boy and his shadow. If the boy is 5 ft tall, how tall is the tree?

Answers

The tree will be 10ft tall if u multiply than divide

Triangles L O N and L M N share common side L N. Angles O L N and N L M are congruent. What additional information would be needed to prove that the triangles are congruent using the ASA congruence theorem? ON ≅ MN ∠LON ≅ ∠LMN LN ≅ NM ∠LNO ≅ ∠LNM

Answers

The additional information required to prove that the triangles are congruent using the ASAcongruence theorem is; ∠LNO ≅ ∠LNM

We are given that;

△LON and △LMN share a common side LN.

This means that for both triangles LN = LN by reflexive property as LN is congruent to itself.

Secondly, we are told that;

∠OLN and ∠NLM are congruent.

We can see that L is an included angle of the congruent side LN.

Now, ASA congruency means Angle - Side - Angle. That means two congruent angles and the included side.

Thus, we need one more angle of the included side LN.

We already have for L, and so the remaining angles that will make△LON and △LMN congruent are;∠LNO and ∠LNM.

Read more on ASA Congruence at; brainly.com/question/3168048

Answer:

The answer is " $\bold{\Delta LNO \cong \Delta LMN \ if\ \angle LNO = \angle LNM}$ "

Step-by-step explanation:

Two angles will be congruent to each other in order to show ASA congruence between all the triangles. Its angle $\angle LNO \cong \angle LNM$ is a common angle in both triangles As a result, we'll use the ASA congruence law to show that perhaps the triangles are congruent.

$In\ \Delta LON \ and \ \Delta LMN \n\n Side\ \ ON \cong Side\ \ MN \n\n\angle LNO \cong \angle LNM ( \because common ) \n\n \angle LON \cong \angle LMN (\because Given ) \n\n\to \Delta LON \cong \Delta LMN \text{( through the ASA congruence theorem)}\n$